The Quantum Hall Effect: QHE
25 Years of Quantum Hall Effect (QHE) A Personal View on the Discovery, Physics and Applications of this Quantum Effect
... the quantum Hall effect increased continuously up to a value of about one publication per day since ...the quantum Hall effect was changed to: “New Method for High-Accuracy ...
16
Imaging of condensed quantum states in the quantum hall effect regime
... of quantum states, we have to look for an electronic system with strongly reduced ...(condensed) quantum states that have certain stability against ...the quantum Hall effect ...
13
The Quantum Hall Effect as an Electrical Resistance Standard
... The quantum Hall effect (QHE) provides an invariant reference for resistance linked to natural ...the QHE relevant for its metrological ...
13
Infinite symmetry in the quantum Hall effect
... The vector field β = (u , v ) is therefore divergence free, with continuity equation ∂ x u + ∂ y v = 0. The physical interpretation of an RG flow is that the number of effectively massless degrees of freedom decreases ...
13
Application of Electrodynamic Theory on Quantum Hall Effect
... The quantum electrodynamic (QED) behaviour is studied for quantum Hall effect ...(QHE). Quantum theory with conjecture of fractional charge quantization (quantum dipole ...
8
Enhanced thermoelectric response in the fractional quantum Hall effect
... m = m L + m R corresponding to an effective filling factor 1/˜ν = 1/ν L + 1/ν R . This property was previously discussed in the context of the conductance [ 42 ] and the charge-current noise [ 43 ] in quantum ...
6
Tunneling Experiments in the Fractional Quantum Hall Effect Regime
... the Quantum Hall electron ...the quantum Hall effect can be found for example in Refs [11, 12, ...Their quantum dynamics is very similar to that of Tomonaga-Luttinger liquids ...
26
Single-electron tunneling in the fractional quantum Hall effect-regime
... A reccnt mean hcld approach to thc fraction il quantum Hall effect (QHE) is rcvicwed with a specidl emphasis on the applicition to smgle electron tunnthng through a quantum dot in a high[r] ...
10
Landau level degeneracy and quantum Hall effect in a graphite bilayer
... the QHE conductivity σ xy (N ) which is distinguish- ably different from that of Dirac-type quasiparticles in a graphite monolayer and of non-chiral carriers in conven- tional semiconductor ...
5
Quantum Hall Effect with Composites of Magnetic Flux Tubes and Charged Particles
... Evidently, for μ r ¼ ∞, Δ is essentially a constant inde- pendent of r (except for r < d), verifying that the flux Φ ¼ H A · dl is concentrated close to the origin, and the approximation is excellent. For finite values ...
6
Unconventional quantum Hall effect and Berry’s phase 2pi in bilayer graphene
... conductance quantum e 2 /h towards the observable Hall ...conventional QHE is shown in Fig. 1a, where plateaus in Hall conductivity V xy make up an uninterrupted ladder of equidistant ...
14
The quantum percolation model of the scaling theory of the quantum Hall effect: a unifying model for plateau-to-plateau transitions
... the QHE to describe universal quantum criticality in 2DESs, by considering the effects of quantum tunnelling and interference ...to quantum tunnel between neighbouring clusters as shown in ...
8
Evidence for the Josephson Effect in Quantum Hall Bilayers
... any QHE at ν T = 1 must result from nontrivial Coulomb correlations between the ...new quantum Hall state was made in 1987 by Chakraborty and Pietilainen ...a quantum Hall ...
220
The intrinsic quantum Hall effect
... Self-consistent calculations are made of the electrostatic Hall potential (EHP), the local chemical potential (LCP), and current density in a uniform ballistic quantum wire containing tw[r] ...
153
A Model for the Quantization of the Hall Resistance in the Quantum Hall Effect
... 4. Conclusions An elementary model for the quantum Hall effect has been developed. It is known in this field that simple models based on Schrödinger equations can be very use- ful in studying the ...
5
Graphene and the Quantum Spin Hall Effect
... • Quantum spin Hall state with single pair of edge states. Contrast with other spin Hall effects.[r] ...
25
Interactions in the integer quantum Hall effect
... screening effect can be near to perfect given that the potential of the impurities to be screened lies within an empty and a full Landau ...of quantum dots and ...
145
Electron Monopole Duality in Quantum Hall Effect
... the quantum hall effect from the consideration of magnetic monopole in view of electron monopole ...of quantum hall effect in presence of ...the quantum Hall ...
5
Homotopy Approach to Fractional Quantum Hall Effect
... IQHE effect without Landau levels, but with time-braking imaginary part of hopping factors for carries on planar lattice instead of the external magnetic ...
15
The quantum Hall effect : spin-charge locking
... The fractional charge can arise from the “incompressibility” in the flux quantization. Laughlin wrote a wave function, the excitations of which are fractionally charged quasiparticles. This wave function comes in ...
8