• No results found

Springer Series in. materials science 96

N/A
N/A
Protected

Academic year: 2022

Share "Springer Series in. materials science 96"

Copied!
26
0
0

Loading.... (view fulltext now)

Full text

(1)

Springer Series in

materials science 

(2)

Springer Series in

materials science

Editors: R. Hull R. M. Osgood, Jr. J. Parisi H. Warlimont

The Springer Series in Materials Science covers the complete spectrum of materials physics, including fundamental principles, physical properties, materials theory and design. Recogniz- ing the increasing importance of materials science in future device technologies, the book titles in this series reflect the state-of-the-art in understanding and controlling the structure and properties of all important classes of materials.

 Self-Organized Morphology in Nanostructured Materials Editors: K. Al-Shamery and J. Parisi

 Self Healing Materials An Alternative Approach

to  Centuries of Materials Science Editor: S. van der Zwaag

 New Organic Nanostructures for Next Generation Devices Editors: K. Al-Shamery, H.-G. Rubahn, and H. Sitter

 Photonic Crystal Fibers Properties and Applications By F. Poli, A. Cucinotta, and S. Selleri

 Polarons in Advanced Materials Editor: A.S. Alexandrov

 Transparent Conductive Zinc Oxide Basics and Applications

in Thin Film Solar Cells

Editors: K. Ellmer, A. Klein, and B. Rech

 Dilute III-V Nitride Semiconductors and Material Systems

Physics and Technology Editor: A. Erol

 Into The Nano Era

Moore’s Law Beyond Planar Silicon CMOS Editor: H.R. Huff

 Organic Semiconductors in Sensor Applications

Editors: D.A. Bernards, R.M. Ownes, and G.G. Malliaras

 Evolution of Thin-Film Morphology Modeling and Simulations

By M. Pelliccione and T.-M. Lu

 Reactive Sputter Deposition Editors: D. Depla amd S. Mahieu

 The Physics of Organic Superconductors and Conductors

Editor: A. Lebed

Volumes – are listed at the end of the book.

(3)

Rüdiger Quay

Gallium Nitride Electronics

123

(4)

Dr. Rüdiger Quay

Fraunhofer Institut für Angewandte Festkörperphysik (IAF) Tullastr. , , Freiburg, Germany

Series Editors:

Professor Robert Hull University of Virginia

Dept. of Materials Science and Engineering Thornton Hall

Charlottesville, VA -, USA Professor R. M. Osgood, Jr.

Microelectronics Science Laboratory Department of Electrical Engineering Columbia University

Seeley W. Mudd Building New York, NY , USA

Professor Jürgen Parisi

Universität Oldenburg, Fachbereich Physik Abt. Energie- und Halbleiterforschung Carl-von-Ossietzky-Strasse –

 Oldenburg, Germany Professor Hans Warlimont Institut für Festkörper- und Werkstofforschung, Helmholtzstrasse 

 Dresden, Germany

ISBN ----

DOI ./----

e-ISBN ----

Springer Series in Materials Sciences ISSN -X Library of Congress Control Number: 

©  Springer-Verlag Berlin Heidelberg

This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September , , in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law.

The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.

Typesetting and production: le-tex publishing services oHG, Leipzig, Germany Cover design: WMXDesign, Heidelberg, Germany

Printed on acid-free paper

         springer.com

(5)

To our son, Jonathan Benedikt

In memoriam, Oliver Winterer (1970–2006)

(6)

Preface

Electronic RF-communication and sensing systems have dramatically changed our daily lives since the invention of the first electronic transistor in 1947.

Advanced semiconductor devices are key components within electronic sys- tems and ultimately determine their performance. In this never ending chal- lenge, wide-bandgap nitride semiconductors and heterostructure devices are unique contenders for future leading-edge electronic systems due to their out- standing material properties with respect to speed, power, efficiency, linearity, and robustness. At the same time, their material properties are challenging compared with any other material system due to high growth temperatures and many other intrinsic properties.

Wide bandgap semiconductors have attracted a lot of attention in the last ten years due to their use in optoelectronic and electronic applications.

The field is developing rapidly due to the high investments in US, Japanese, and increasing European research and development activities. Some of the knowledge acquired may not be available to the general public because of military or civil restrictions. However, this work compiles and systemizes the available knowledge and evaluates remaining issues. This book is of interest to graduate students of electrical engineering, communication engineering, and physics; to material, device, and circuit engineers in research and industry;

and to scientists with general interest in advanced electronics.

The author specially thanks those people, without whom and without whose individual contributions such a challenging work would have been impossible. He owes special thanks to:

Prof. Dr. G¨unter Weimann, director of the Fraunhofer Institute of Applied Solid-State Physics (IAF), for his encouragement, his advice, and continuous support.

Prof. Dr. Joachim Wagner for the encouragement to start this project.

Prof. Dr. Siegfried Selberherr, Insitut f¨ur Mikroelektronik, TU Wien, for con- tinuous encouragement and support.

(7)

VIII Preface

Dr. Michael Schlechtweg, head of the RF-device and circuits department at Fraunhofer IAF, and Dr. Michael Mikulla, head of the technology department at Fraunhofer IAF, for their generous support.

Dr. Rudolf Kiefer for his outstanding contributions and careful advise on the technology chapter, for his kind understanding, and for valuable discussions.

Dipl.Phys. Stefan M¨uller and Dr. Klaus K¨ohler for their valuable contribu- tions of the epitaxy chapter and for proof reading.

Dr. Friedbert van Raay for his proof reading, contributions to large-signal modeling and circuit design and for countless discussions on modeling, large- signal measurements, layout, and circuit design.

Dr. Michael Dammann, Dipl.Ing. Helmer Konstanzer, and Andreas Michalov for their contributions and their work on device reliability.

Dr. Wolfgang Bronner for his contributions to the development of technology and the SiC back-end process.

Dr. Wilfried Pletschen for his thorough proof reading and his kind advise on etching.

Dr. Matthias Seelmann-Eggebert for his inspired work on thermal simulations and large-signal modeling.

Dr. Patrick Waltereit for numerous fruitful discussions on epitaxial and pro- cess development.

Dipl.Ing. Daniel Krausse for his work on low-noise amplifiers.

Dr. Vassil Palankovski and Dipl.Ing. Stanislav Vitanov, TU Vienna, for proof reading and their valuable support on physical device simulation.

Dr. Axel Tessmann for his continuous good mood and valuable motivation for the development of mm-wave technology.

Markus Riesle and Dr. Herbert Walcher for their contributions to the MMIC module and device packaging.

Martin Zink and Ronny Kolbe for the patient dicing and picking of a numer- ous MMICs.

Dipl.Ing. Christoph Schw¨orer for valuable discussions on circuit design and for his contribution on the broadband amplifiers.

Dr. Lutz Kirste for his help on crystal structures.

Dipl.Ing. Michael Kuri , Dipl.Ing. Hermann Massler and the members of the RF-devices and circuits characterization group at Fraunhofer IAF for their support.

Dr. Arnulf Leuther for wise hints and good cooperation on process develop- ment.

Fouad Benkhelifa for his creative and careful development of processing tech- nology and for active discussions.

Further, I would like to thank the technical staff in the Fraunhofer RF-devices- and-circuit and technology-departments, especially Dr. Gundrun Kauffel and W. Fehrenbach.

(8)

Preface IX Dr. Hardy Sledzik, Dr. Patrick Schuh, Dr. Ralf Leberer, and Dr. Martin Oppermann at EADS DE in Ulm for good cooperation and for valuable dis- cussions.

Dipl.Ing. Dirk Wiegner, Dr. Wolfgang Templ, and Ulrich Seyfried at the Research Center at Alcatel-Lucent/Stuttgart for outstanding cooperation on highly-linear power amplifiers.

Dr. Thomas R¨odle and his team at NXP research center, Nimwegen, for good cooperation on power amplifier technology.

The Team at United Monolithic Semiconductors (UMS), Ulm for good coop- eration on device technology.

Mark van Heijningen and Dr. Frank van Vliet at TNO Safety and Security, the Hague, Netherlands, for the good cooperation on high-power amplifiers at Ka-band.

Joyce Visne, Wien, for her patient and thorough language corrections and her kind support.

The Springer team, especially, Adelheid Duhm and Dr. Claus Ascheron for their great support and kind understanding.

The le-tex team, especially Steffi Hohensee, for their kind support.

I thank my wife Christine and my son Jonathan, to whom this book is dedi- cated, for their endless patience.

Freiburg i.Br. R¨udiger Quay

Januar 2008

(9)

Contents

List of Symbols . . . XVII List of Acronyms . . . XXV

1 Introduction . . . . 1

2 III-N Materials, and the State-of-the-Art of Devices and Circuits . . . . 3

2.1 State-of-the-Art of Materials Research . . . 3

2.1.1 Binary Materials . . . 4

2.1.2 Material Limitations . . . 20

2.1.3 Thermal Properties and Limitations . . . 21

2.1.4 Ternary and Quaternary III-N Materials . . . 23

2.2 Polar Semiconductors for Electronics . . . 28

2.2.1 Spontaneous Polarization . . . 28

2.2.2 Piezoelectric Polarization . . . 30

2.2.3 Device Design Using Polarization-Induced Charges . . 32

2.2.4 Analytical Calculation of Channel Charge Concentrations . . . 38

2.2.5 Doping Issues . . . 38

2.2.6 Surfaces and Interfaces . . . 40

2.2.7 Transport Properties in Polarized Semiconductors . . . 46

2.2.8 Polarization-Based Devices and Their Specific Properties . . . 48

2.3 Electrical and Thermal Limitations of Materials and Devices 48 2.3.1 Physical Modeling of Devices . . . 49

2.3.2 Devices: Figures-of-Merit . . . 51

2.3.3 III-N Devices: Frequency Dispersion . . . 52

2.4 Substrates for Electronic Devices . . . 55

2.4.1 Criteria for Substrate Choice . . . 55

2.4.2 Silicon Carbide Substrates . . . 56

(10)

XII Contents

2.4.3 Sapphire Substrates . . . 61

2.4.4 Silicon Substrates . . . 62

2.4.5 GaN and AlN Substrates . . . 62

2.5 State-of-the-Art of Devices and Circuits . . . 65

2.5.1 Nitride-Based Diodes . . . 65

2.5.2 Power Electronics . . . 66

2.5.3 RF-Metal Semiconductor Field-Effect Transistors (MESFETs) . . . 68

2.5.4 Metal Insulator Semiconductor Field-Effect Transistors (MISFETs) . . . 70

2.5.5 High-Electron Mobility Transistors (HEMTs) . . . 71

2.5.6 Heterojunction Bipolar Transistors (HBTs) . . . 84

2.5.7 MMIC HEMT Technology . . . 86

2.6 Applications Issues . . . 87

2.6.1 Broadband Communication . . . 88

2.6.2 Radar Components . . . 88

2.6.3 Electronics in Harsh Environments . . . 89

2.7 Problems . . . 90

3 Epitaxy for III-N-Based Electronic Devices . . . . 91

3.1 The AlGaN/GaN Material System . . . 92

3.1.1 Metal Organic Chemical Vapor Deposition (MOCVD) . . . 92

3.1.2 Molecular Beam Epitaxy (MBE) . . . 112

3.1.3 MOCVD and MBE Growth on Alternative Substrates . . . 121

3.1.4 Epitaxial Lateral Overgrowth (ELO) . . . 122

3.1.5 Hydride Vapor Phase Epitaxy (HVPE) . . . 122

3.2 Indium-Based Compounds and Heterostructures . . . 123

3.2.1 MOCVD Growth of Indium-Based Layers . . . 124

3.2.2 MBE Growth of Indium-Based Layers . . . 125

3.2.3 Indium-Based Heterostructure Growth . . . 126

3.3 Doping and Defects . . . 127

3.3.1 MOCVD Growth . . . 128

3.3.2 MBE Growth . . . 130

3.4 Epitaxial Device Design . . . 131

3.4.1 Geometrical Considerations . . . 131

3.4.2 Growth of Cap Layers . . . 133

3.4.3 Doping . . . 134

3.4.4 AlN Interlayer . . . 135

3.4.5 Channel Concepts . . . 137

3.4.6 Epitaxial In-Situ Device Passivation . . . 137

3.5 Problems . . . 138

(11)

Contents XIII

4 Device Processing Technology . . . . 139

4.1 Processing Issues . . . 139

4.2 Device Isolation . . . 142

4.2.1 Mesa Structures . . . 143

4.2.2 Ion Implantation for Isolation . . . 143

4.3 Contact Formation . . . 144

4.3.1 Ohmic Contacts . . . 144

4.3.2 Schottky Contacts . . . 151

4.4 Lithography . . . 157

4.4.1 Optical Lithography . . . 157

4.4.2 Electron Beam Lithography . . . 158

4.4.3 Field Plates and Gate Extensions . . . 160

4.5 Etching and Recess Processes . . . 165

4.5.1 Dry Etching . . . 166

4.5.2 Wet Etching . . . 169

4.5.3 Recess Processes . . . 170

4.6 Surface Engineering and Device Passivation . . . 174

4.6.1 Passivation of the Ungated Device Region . . . 174

4.6.2 Physical Trapping Mechanisms . . . 177

4.6.3 Trap Characterization . . . 178

4.6.4 Technological Measures: Surface Preparation and Dielectrics . . . 182

4.6.5 Epitaxial Measures: Surface Preparation and Dielectrics . . . 188

4.7 Gate Dielectrics . . . 189

4.8 Processing for High-Temperature Operation . . . 191

4.9 Backside Processing . . . 192

4.9.1 Thinning Technologies . . . 192

4.9.2 Viahole Etching and Drilling Technologies . . . 193

4.9.3 Viahole Metallization . . . 195

4.10 Problems . . . 196

5 Device Characterization and Modeling . . . . 197

5.1 Device Characteristics . . . 197

5.1.1 Compact FET Analysis . . . 197

5.1.2 Compact Bipolar Analysis . . . 209

5.2 Frequency Dispersion . . . 211

5.2.1 Dispersion Effects and Characterization . . . 211

5.2.2 Dispersion Characterization and Analysis . . . 214

5.2.3 Models for Frequency Dispersion in Devices . . . 217

5.2.4 Suppression of Frequency Dispersion . . . 220

5.3 Small-Signal Characterization, Analysis, and Modeling . . . 220

5.3.1 RF-Characterization and Invariants . . . 220

5.3.2 Common-Source HEMTs . . . 222

5.3.3 Dual-Gate HEMTs . . . 227

(12)

XIV Contents

5.3.4 Pulsed-DC- and RF-Characteristics . . . 227

5.3.5 Small-Signal Modeling . . . 230

5.4 Large-Signal Analysis and Modeling . . . 235

5.4.1 Large-Signal Characterization and Loadpull Results . 235 5.4.2 Large-Signal Modeling . . . 241

5.5 Linearity Analysis and Modeling . . . 255

5.5.1 Basic Understanding . . . 256

5.5.2 Nitride-Specific Linearity Analysis . . . 259

5.6 Noise Analysis . . . 262

5.6.1 Low-Frequency Noise . . . 262

5.6.2 RF-Noise Analysis and Characterization . . . 265

5.7 Problems . . . 270

6 Circuit Considerations and III-N Examples . . . . 271

6.1 Passive Circuit Modeling . . . 271

6.1.1 Coplanar-Waveguide Transmission-Line Elements . . . . 271

6.1.2 Microstrip-Transmission-Line Elements . . . 273

6.2 High-Voltage High-Power Amplifiers . . . 274

6.2.1 Basic Principles of High-Voltage High-Power Operation . . . 274

6.2.2 General Design Considerations of III-N Amplifiers . . . 278

6.2.3 Mobile Communication Amplifiers Between 500 MHz and 6 GHz . . . 279

6.2.4 C-Frequency Band High-Power Amplifiers . . . 285

6.2.5 X-Band High-Power Amplifiers . . . 287

6.2.6 Design, Impedance Levels, and Matching Networks . . 294

6.2.7 Broadband GaN Highly Linear Amplifiers . . . 297

6.2.8 GaN Mm-wave Power Amplifiers . . . 298

6.3 Robust GaN Low-Noise Amplifiers . . . 300

6.3.1 State-of-the-Art of GaN Low-Noise Amplifiers . . . 300

6.3.2 Examples of GaN MMIC LNAs . . . 301

6.4 Oscillators, Mixers, and Attenuators . . . 304

6.4.1 Oscillators . . . 307

6.4.2 GaN HEMT Mixer Circuits . . . 307

6.4.3 Attenuators and Switches . . . 308

6.5 Problems . . . 309

7 Reliability Aspects and High-Temperature Operation . . . . 311

7.1 An Overview of Device Testing and of Failure Mechanisms . . . 311

7.1.1 Description of Device Degradation . . . 311

7.1.2 Degradation Mechanisms in III-N FETs . . . 314

7.1.3 III-V HBT Device Degradation . . . 316

7.2 Analysis of Nitride-Specific Degradation Mechanisms . . . 317

7.2.1 DC-Degradation . . . 318

7.2.2 RF-Degradation . . . 322

(13)

Contents XV

7.3 Failure Analysis . . . 324

7.3.1 Failure Mechanisms . . . 325

7.3.2 Reliability Case Studies . . . 327

7.4 Radiation Effects . . . 331

7.5 High-Temperature Operation . . . 332

7.6 Problems . . . 336

8 Integration, Thermal Management, and Packaging . . . . 337

8.1 Passive MMIC Technologies . . . 337

8.1.1 Passive Element Technologies . . . 337

8.1.2 Microstrip Backend Technology . . . 340

8.2 Integration Issues . . . 341

8.3 Thermal Management . . . 343

8.3.1 Thermal Analysis . . . 343

8.3.2 Thermal Material Selection and Modeling . . . 345

8.3.3 Basic Thermal Findings, Heat Sources, and Thermal Resistances . . . 349

8.3.4 Backside Cooling . . . 352

8.3.5 Flip-Chip Integration . . . 355

8.3.6 Dynamic Thermal Effects . . . 357

8.4 Device and MMIC Packaging . . . 358

8.4.1 Dicing . . . 358

8.4.2 Die-Attach . . . 359

8.4.3 Package Technology Selection . . . 361

8.4.4 Thermal Management for Linear Applications . . . 363

8.4.5 Active Cooling . . . 365

8.5 Problems . . . 366

9 Outlook . . . . 367

Appendix . . . . 369

References of Chapter 2 . . . . 371

References of Chapter 3 . . . . 395

References of Chapter 4 . . . . 405

References of Chapter 5 . . . . 419

References of Chapter 6 . . . . 429

References of Chapter 7 . . . . 439

References of Chapter 8 . . . . 447

Index . . . . 455

(14)

List of Symbols

Δ Step, difference, change

ΔEV, ΔEC Discontinuity of the valence/conduction band at a heterointerface

ΔEg Total difference of the bandgaps at

a heterointerface

Δf Frequency interval

ΔV Voltage drop over the depletion zone

Θ(T0) Temperature-dependent thermal

resistance

α, β, γ General exponent

α General temperature coefficient

α Common base current gain

αa, αc Coefficients of thermal expansion along a- and c-axis

αAB Temperature exponent of the ternary

AxB1−x

αH Hooge parameter

αn, αp Impact ionization parameter for elec- trons and holes

αn Fitting parameter in the LS-model

αT Base transmission factor

αS Fitting parameter in the LS-model

β Common emitter current gain in bipolar

devices

γi Emitter injection efficiency

δ The base recombination factor

ε Permittivity

ij Dielectric tensor components

0 Dielectric constant

εr Relative permittivity

(15)

XVIII List of Symbols

εeffr Effective permittivity

εinfr Relative permittivity for ω→ ∞

ηd Drain efficiency

κL Lattice thermal conductivity

κL(T ) Thermal conductivity as a function of

temperature

κA300 Thermal conductivity at 300 K

of material A

λn Fitting parameter in the LS-model

μν Mobility of carrier type ν

μAB Mobility of the ternary semiconductor

AxB1−xN

τ Phase term of the transconductance gm

τthermal Thermal time constant

φB Schottky barrier potential

ψ Electrostatic potential

ψi Polynomials of the potential

ρs Semiconductor resistivity

ρc Metal resistivity

σB Total interface charge at the boundary

σB,SP Interface charge due to spontaneous

polarization

σB,PZ Interface charge due to piezoelectric polarization

σA Electric drift-region-conductance per

unit area in the semiconductor

τD The delay due to the extension of the

depletion zone to the drain

τ Small-signal phase constant

τRC Channel-charge RC-delay

τT Total delay

τe, τb, τc Emitter, base, collector delay

τTR Transistor delay

τthermal Thermal time constant

ω Oscillation frequency

A Area

AR Richardson constant

A1, . . . , An General coefficient

Aν Coefficient for impact ionization for

carrier ν = n,p

B Direct radiative recombination parame-

ter

B0 Bulk modulus

BVCE0 Open collector–emitter breakdown

voltage

(16)

List of Symbols XIX

BVDS Drain–source breakdown voltage

BVDS RF RF drain–source breakdown voltage

BVGD Gate–drain diode breakdown voltage

BVGS Gate–source diode breakdown voltage

C Correlation parameter

C Capacitance in the passive model

Cij Elastic constants index i, j

Cth Thermal capacitance

Cds Drain–source capacitance

Cg Gate capacitance

Cgd Gate–drain capacitance

Cgs Gate–source capacitance

Cjc Collector junction capacitance

Cje Emitter junction capacitance

Cpds, Cpgs, Cpgd Parasitic drain–source, gate–source, and gate–drain capacitances

Cgs,0,Cgd,0 Large-signal charge modeling coefficients

C0 Static capacitance

Css Parasitic capacitance in the dispersion

model

Cth Thermal capacitance

DnB,DpE Diffusivity of electrons in the base, holes in the emitter

E Local electric field

EA Acceptor energy

Ea Activation energy

Ebreak Breakdown field

Ecrit Critical field

EC Conduction band energy

EF(x) Fermi energy at position x

Ef1 Fermi-level correction energy

Eg Bandgap energy

Eg,Γ Bandgap energy in the Γ -valley

Eg,Γ1, Eg,Γ3 Bandgap energy in the Γ1, Γ3-valley

Eg,G−A Bandgap energy in the G–A valley

Eg,L Bandgap energy in the L-valley

Eg,L−M Bandgap energy in the L–M valley

Eg,X Bandgap energy in the X-valley

Eg,0 Bandgap energy at TL= 0 K

EV Valence band energy

G Conductance in the passive model

Gass Associated gain

Gp Power gain

Gm,2, Gm,d, Gm,2,d Current parameters in Volterra approach

H Hardness

(17)

XX List of Symbols

I0 Current parameter in the diode equation

I0 Current at time t= 0

IB, IC, IE Base, collector, and emitter currents

ID Drain current

IDmax,IDmin Maximum, minimum drain current IDmax,RF, IDmin,RF Maximum/minimum RF-drain current

IDS Drain–source current

IDpp Peak-to-peak drain current

IDsat saturated drain current

IDSn,IDSp Drain–source current in the LS-modeling

IDq Quiescent drain current

IDSS Saturated drain current, typically at

VGS= 0 V

IG Gate current

II3 Ratio of input intermodulation 3rd order

IM3 Intermodulation distortion ratio

3rd order

IM D3 Intermodulation distortion 3rd order

Iij Current at port with index i,j

Iopt Drain current optimized for noise figure

Ipk, Ipk0 Peak current parameter in LS-model

Kbg Dispersion parameter in the LS-model

Ktrg Soft-breakdown pinch-off parameter

KC Fracture toughness

L Channel length

L Line inductance in the passive model

Le Emitter length

LD, LG, LS Drain, gate, and source inductances

LD Length of the depletion zone

Lsb Soft breakdown function

Lsb0 LS-parameter for the soft-breakdown

Lsd1 Auxiliary function

MAG Maximum available gain

MC Number of equivalent minima at the

conduction band

MSG Maximum stable gain

MTBF Median time before failure

MTTF Median time to failure

NA Acceptor doping concentration

NB Base carrier concetrations

NC Effective density of states of the

conduction band

ND Donor doping concentration

NDC Donor doping concentration in the

collector

(18)

List of Symbols XXI

NE Emitter carrier concentration

NF Noise figure

NF,min Minimum noise figure at optimum

impedance

NT Concentration of traps

NV Effective density of states of the valence

band

OIP3 Output intercept point third order

Pi Function in the charge model

PAE Power-added-efficiency

P−1dB Output power at 1 dB compression

PDC DC-power

Pdiss Dissipated power

Pin Input power

Pij Large-signal parameter for the pinch-off

voltage

Pout Output power

PSP Spontaneous polarization

PPZ Piezoelectric polarization

Psat Saturated output power

R Resistance

RCon Contact resistance

RD Drain resistance

RD,semi Semiconductor contribution to RD

RL Load resistance/impedance

RS,met, RD,met Metal contribution to RSand RD RS, RG, RD Parasitic source, gate, and drain

resistances

RS Series resistance of diode

Rband Band edge contribution to the source

resistance RS

Rbb Base resistance

Rchan Channel resistance

Rds Drain–source resistance

Rgap Contribution of the contact gap to Rbb

Rgd,Rgs Gate–drain/–source resistance

Ri Input resistance

Rn Equivalent noise resistance

Ron On-resistance

Ropt Optimum impedance

Rspread Spread contribution to Rbb

Rss Parasitic output resistance in the

dispersion model

Rth Thermal resistance

Sij Scattering (S-) parameter, i, j = 1, 2

(19)

XXII List of Symbols

Sν(f ) Spectral noise density

Tchan Channel temperature

TDebye Debye-temperature

TDrain, TGate Drain and gate noise-temperature

T (Ex) Tunneling probability

TL Local lattice temperature

Tsub Substrate temperature

T0 Backside temperature in the LS-model

U Unilateral gain

V1 Variable in the Curtice model

VBE, VCE, VBC Base–emitter, collector–emitter, and collector–base voltages

Vbreakdown Breakdown voltage

VDS, VGD, VGS Drain–source, gate–drain, and gate–source voltages

VDS0, VGS0 Quiescent drain–source/gate–source voltage

VD,max,RF, VD,min,RF Maximum/minimum RF-VDS-voltage VGS,X Dispersion corrected VGS-voltages VGS,3psat, VGS,3plin Linearity parameters

Vbgate Breakdown parameter in the LS-model

Vdgt Gate–drain voltage function

Vkl Voltage at device port k,l

Vknee Knee voltage

Vp Pinch-off voltage

Vp2 Doping correction to the threshold

voltage

Vthr Threshold voltage

W Wafer bow

We, Web Emitter-(base) width

Wg Gate width

XEB,XE Thickness of the emitter, base Yij Y -parameter for i, j = 1, 2

Zds Complex output conductance

Zij Z-parameter for i, j = 1, 2

Z0 Characteristic impedance

a, b, c, d, n General parameters

agate−lag, adrain−lag Dispersion parameters for gate and drain-lag

agate,cw,adrain,cw Dispersion parameters comparing pulsed and cw

a0, c0 Lattice parameters

c300 Heat capacity at 300 K

cL,AB Nonlinear coefficient of the thermal con-

ductivity of the ternary semiconductor

(20)

List of Symbols XXIII

d Thickness, length

dAlGaN Thickness of AlGaN

deff Effective gate-to-channel separation

ddoping Channel layer thickness

dsub Substrate diameter

eij Piezoelectric coefficient

fT Current gain cut-off frequency

fT,ext Extrinsic current gain cut-off frequency

f Frequency

fc Frequency for k = 1

fc Lattice mismatch

fmax Maximum frequency of oscillation

f10 dB Maximum frequency which leaves 10 dB

of power gain

f (t,μ, σ)lognorm Log-normal distribution function f (t,μ, σ)norm Normal distribution function

f1,f2 Distribution function

gds Output conductance

gds m gds Derivatives of output conductance

gds,ext Extrinsic output conductance

gds,ext(CW(RF or Pulsed)) Extrinsic output conductance for CW, RF, or pulsed operation

gm (Complex) transconductance

gm , gm Derivatives of transconductance

gmi Intrinsic transconductance

gm,max Maximum transconductance

h, ¯h (Reduced) Planck constant

h21 Current–gain

h(t) Thermal response function in the time

domain

ids Intrinsic drain source current

iII Impact ionization current in the LS-

model

id, ig Noise current at drain and gate

kB Boltzmann constant

kf Fukui factor

kn, krel,n Drain-lag dispersion model parameters

k Stability factor

lfps, lfpd Field-plate extension to the source and drain side

lgd, lgs Gate-to-drain/-to-source separation

lgg Gate-to-gate pitch

lg Gate length

mb Doping coefficient

me Free electron mass

(21)

XXIV List of Symbols

mn Effective electron mass

mn(Γ -K), mn(Γ -A), mn(Γ -M)

Effective electron mass at the Γ -K/A/M transition

mn(X) Effective electron mass in X-valley

mν,AB Effective carrier mass of the

semi-conductor AxB1−xN

mn,l Longitudinal electron mass

mn,t Transversal electron mass

mp Effective hole mass

mp,h Effective heavy hole mass

mp,l Light hole mass

mp,so Spin–orbit hole mass

m Tunneling mass

n A normal vector

n Electron concentration

n Ideality factor

n Refractive index

nchannel Channel charge density

ni Intrinsic carrier concentration

nsheet Sheet carrier concentration

p Hole concentration

q Elementary charge

qbulk,traps Charge of bulk traps

qchannel Channel charge

qdiel,interface Interface charge

qdoping Doping charge

qinitial Dynamic charge

qsemi,interfaces Charge at the semiconductor interfaces

t Time

t Thickness of the current-supporting layer

tad Thickness of the adhesive

tsem Semiconductor thickness

tsub Substrate thickness

tsubm Submount thickness

¯

vdsvgs Static voltage components in dispersion model

vds, vd Intrinsic drain (source) voltage

veff Effective carrier velocity

vgs, vg Intrinsic gate (source) voltage

vpeak Peak carrier velocity

vsat Saturated carrier velocity

x, y Material composition parameter

y Distance

(22)

List of Acronyms

2DEG Two-Dimensional Electron Gas

3G 3rd generation (of mobile communication)

4G 4th generation (of mobile communication)

4H, 6H Polytypes of SiC

AC Alternating Current

ACLR Adjacent Channel Leakage Ratio

ACPR Adjacent Channel Power Ratio

ADS Advanced Design System

AFM Atomic Force Microscopy

AlN Aluminum nitride

AESA Active Electronically Scanned Array

ASIC Application Specific Integrated Circuit

BCB Bencocyclobutene

BEEM Ballistic Electron Emission Spectroscopy

BGA Ball-Grid-Array

BJT Bipolar Junction Transistor

BN Boron Nitride

BS Backside Cooling

BV Breakdown Voltage

CAD Computer Aided Design

CAFM Conductive Atomic Force Microscopy

CAIBE Chemically-Assisted Ion Beam Etching

CAT-CVD Catalytic Chemical Vapor Deposition

CAVET Current Aperture Vertical Electron Transistor

CDMA Code Division Multiple Access

CMOS Complementary Metal Oxide Semiconductor

CMP Chemical Mechanical Polishing

CTE Coefficient of Thermal Expansion

CVD Chemical Vapor Deposition

CW Continuous Wave

(23)

XXVI List of Acronyms

c cubic

DBF Digital Beam-Forming

DC Direct Current

DD Drift-Diffusion

DLT(F)S Deep Level Transient (Fourier) Spectroscopy

DHBT Double Heterojunction Bipolar Transistor

DHFET Double Heterojunction Field Effect Transistor DHHEMT Double Heterojunction High Electron Mobility

Transistor

DOD U.S. Department of Defense

DPD Digital Predistortion

DRA Driver Amplifier

EBIC Electron-Beam Induced Current

ECR Electron Cyclotron Resonance

ECMP Electrochemical-Mechanical Polishing

EDGE Enhanced Data Rates for GSM Evolution

EDX Electron Diffraction

EER Envelope Elimination and Restoration

ELO, ELOG, LEO Epitaxial Lateral Overgrowth

ESD Electrostatic Discharge

ET Envelope-Tracking

EUV Extreme Ultraviolet

EVM Error Vector Magnitude

FC Flip-Chip

FET Field Effect Transistor

FIB Focussed Ion Beam

FIT Failures in Time

FOM Figure-Of-Merit

GaAs Gallium Arsenide

GaN Gallium Nitride

GCPW Grounded Coplanar-Waveguide

GSM Global System for Mobile Communications

HBT Heterojunction Bipolar Transistor

HCI Hot Carrier Injection

HEMT High Electron Mobility Transistor

HFET Heterostructure Field Effect Transistor

HPA High-Power Amplifier

HPSI High-Purity Semi-Insulating (substrates)

HR High-Resistivity

HTCC High-Temperature Cofired Ceramics

HTCVD High-Temperature Chemical Vapor Deposition

HVPE Hydride Vapor Phase Epitaxy

IC Integrated Circuit

ICP Inductively Coupled Plasma

IDLDMOS Interdigitated-Drain LDMOS

(24)

List of Acronyms XXVII

IF Intermediate Frequency

II Impact Ionization

IMPATT IMPact Avalanche Transit Time

InAlN Indium Aluminum Nitride

InAs Indium Arsenide

InGaN Indium Gallium Nitride

InN Indium Nitride

JFET Junction Field-Effect Transistor

LDMOS Laterally diffused MOS

LED Light-emitting Diode

LEEN Low-Energy Electron-Excited Nanoscale

Luminescence Spectroscopy

LNA Low-Noise Amplifier

LO Local Oscillator

LPCVD Low-Pressure Chemical Vapor Deposition

LT Low-Temperature

LTCC Low-Temperature Cofired Ceramics

MAG Maximum Available Gain

MBE Molecular Beam Epitaxy

MC Monte Carlo

MCM Multi-Chip Module

MEMS Micro-Electro-Mechanical Systems

MERFS Micro Electromagnetic Radio Frequency System

MESFET MEtal Semiconductor Field Effect Transistor

MHEMT Metamorphic HEMT

MIC Microwave Integrated Circuit

MIM Metal–Insulator–Metal

MISFET Metal Insulator Field Effect Transistor

MISHEMT Metal Insulator Semiconductor HEMT

MMIC Monolithic Microwave Integrated Circuit

MOCVD Metal Organic Chemical Vapor Deposition

MOD Ministry of Defense

MODFET Modulation-Doped FET

MOMBE Metal Organic Molecular Beam Epitaxy

MOS Metal–Oxide–Semiconductor

MOSFET Metal–Oxide–Semiconductor FET

MOSDHFET Metal–Oxide Double Heterostructure FET

MOVPE Metal Organic Vapor Phase Epitaxy

MSG Maximum Stable Gain

MSL Microstrip Line

MTBF Mean Time Before Failure

MTTF Mean Time to Failure

NBTI Negative Bias Temperature Instability

NID Non-Intentionally Doped

NiCr Nickel Chromium

(25)

XXVIII List of Acronyms

OFDM Orthogonal Frequency-Division Multiplexing

ONO Oxide–Nitride–Oxide

PA Power Amplifier

PAE Power-Added Efficiency

PAMBE Plasma-Assisted Molecular Beam Epitaxy

PAR Peak-to-Average Ratio

PAS Positron Annihilation Spectroscopy

PCB Printed Circuit Board

PCDE Peak Code Domain Error

PEC Photo-enhanced Electrochemical Etching

PECVD Plasma-enhanced Chemical Vapor Deposition

PHEMT Pseudomorphic HEMT

PIC Polarization-Induced Charge

PL Photoluminesce

PLM Polarized Light Microscopy

PVT Physical Vapor Deposition

RF Radio Frequency

RIE Reactive Ion Etching

RMS Root-Mean Square

RTA Rapid Thermal Annealing

Rx Receiver

SAR Synthetic Aperture Radar

SAW Surface Acoustic Wave

SEM Scanning Electron Microscopy

SH Self-Heating

SHBT Single Heterojunction Bipolar Transistor SHFET Single Heterojunction Field Effect Transistor SHHEMT Single Heterojunction High Electron Mobility

Transistor

s.i., SI Semi-Insulating

SiC Silicon Carbide

SiCOI Silicon Carbide on Insulator

SiCoSiC Silicon Carbide on polySiC

SIMS Secondary Ion Mass Spectroscopy

SiN Silicon Nitride

SIP System-In-Package

SIT Static Induction Transistor

SKPM Scanning Kelvin Probe Microscopy

SMD Surface Mount Device

SoC System on a Chip

SOI Silicon On Insulator

SopSiC Silicon on poly-crystalline SiC

SPDT Single Pole Double Throw

SRPES Synchrotron Radiation Photoemission

Spectroscopy

(26)

List of Acronyms XXIX

SRH Shockley–Read–Hall

SSPA Solid-State Power Amplifier

STEM Scanning Tunneling Electron Microscopy

TaN Tantalum Nitride

TDD Threading-Dislocation Density

TE Thermionic Emission

TEM Transmission Electron Microscopy

TLM Transmission-Line Model

TMGa, TMAl, TMIn TrimethylGallium, TriMethylAluminum, TriMethylIndium

T/R,TRX Transmit/Receive

TWA Traveling Wave Amplifier

TWTA Traveling Wave Tube Amplifier

UWB Ultra-Wide Band

VCO Voltage-Controlled Oscillator

WBG Wide BandGap

WBS Wide Bandgap Semiconductor

WCDMA Wideband Code Division Multiple Access

WiMAX Worldwide interoperability For Microwave Access

Wz Wurtzite

XRD X-Ray Diffraction

Zb Zincblende

References

Related documents