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Disorder and topological phases

Symmetry-protected topological phases and quantum anomalies

Symmetry-protected topological phases and quantum anomalies

... SPT phases is to twist or gauge the underlying symmetries that protect SPT phases [28, 31, ...SPT phases, that is, to judge whether or not the original theory is symmetry-protected and distinct from ...

139

From Hermitian to non-Hermitian topological phases of matter

From Hermitian to non-Hermitian topological phases of matter

... of topological phases of matter from the Hermitian to the non-Hermitian ...thesis. Topological materials and their characterization by topological invariants are ...non-interacting ...

164

Topological Phases of Matter: Exactly Solvable Models and Classification

Topological Phases of Matter: Exactly Solvable Models and Classification

... Can topological insulators and superconductors discovered in the free fermion setup be realized with exactly solvable models as well? This question is interesting not only out of pure theoretical curiosity; it is ...

123

Unveiling signatures of topological phases in open Kitaev chains and ladders

Unveiling signatures of topological phases in open Kitaev chains and ladders

... the topological phase of an open quantum system is ...the topological properties of Kitaev chains and ladders under the perturbing effect of a current flux injected into the system using an external normal ...

24

Scattering theory of topological phases in discrete-time quantum walks

Scattering theory of topological phases in discrete-time quantum walks

... of topological phases that have so far been exclusively analysed based on the Floquet operator in momentum ...of topological invariants, which apply dependent on the symmetries of the ...the ...

13

Topological Phases of Interacting Fermions in Optical Lattices with Artificial Gauge Fields

Topological Phases of Interacting Fermions in Optical Lattices with Artificial Gauge Fields

... non-trivial phases of matter with ultracold atoms has become a major focus of cold atom experi- ...the topological quantum ...how topological edge states are connected to the different bulk ...

142

Unveiling hidden topological phases of a one-dimensional Hadamard quantum walk

Unveiling hidden topological phases of a one-dimensional Hadamard quantum walk

... A global, fixed on-site potential φ ∈ R, that is not subject to disorder, H nm  (ξ ) = H nm (ξ ) + φ, (13) obviously breaks chiral symmetry, since φ ∈ R commutes with any instead of anticommuting. However, all it ...

11

Topological phases, non-equilibrium dynamics and parallels of black hole phenomena in condensed matter

Topological phases, non-equilibrium dynamics and parallels of black hole phenomena in condensed matter

... me to the topics of non-equilibrium dynamics, disorder and Josephson physics. I am grateful for her constant patience and enthusiasm for guidance and mentorship and showing keen interest in encouraging the ...

183

Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons

Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons

... Spain Topological insulators are fascinating states of matter exhibiting protected edge states and robust quantized features in their ...detect topological properties in the bulk of one-dimensional chiral ...

13

Floquet topological transitions in extended Kane-Mele models with disorder

Floquet topological transitions in extended Kane-Mele models with disorder

... on topological band insulators has seen dramatic progress in the past ...the topological transition by periodically driving a non-interacting system to a non-equilibrium state, called a Floquet ...

44

Numerical Studies of Topological Phases

Numerical Studies of Topological Phases

... Figure 4.12 shows our numerical measurements of the Hall conductivity. The horizontal axis is the strength of the Z T 2 symmetry breaking, which we will loosely call Zeeman field. We see that initially there is no ...

149

Induced Topological Phases at the Boundary of 3D Topological Superconductors

Induced Topological Phases at the Boundary of 3D Topological Superconductors

... 3D topological superconductors in class DIII that support a variety of winding ...the topological phase of the boundary is induced by the phase of the 3D ...3D topological superconductor in class ...

6

Deep learning topological phases of matter

Deep learning topological phases of matter

... The information we just gathered seems very general and not too informative. In- stead, we can use it to find the most fitted algorithm to work on and to understand while it might fail in its generalization task. In this ...

137

Tensor Network Wavefunctions for Topological Phases

Tensor Network Wavefunctions for Topological Phases

... 1.4.4 Tight-Binding Restriction Before concluding this section, we comment briefly on the role played by the restriction to a particular tight-binding model. Restricting to a particular tight-binding model is a stronger ...

159

Topological Phases of Polaritons in a Cavity Waveguide

Topological Phases of Polaritons in a Cavity Waveguide

... Topological Phases of Polaritons in a Cavity Waveguide C. A. Downing , 1 T. J. Sturges , 2 G. Weick , 3 M. Stobi ń ska , 2 and L. Martín-Moreno 1,* 1 Departamento de Física de la Materia Condensada, ...

7

Topological Phases of Matter and Quantum Computation

Topological Phases of Matter and Quantum Computation

... PREFACE xi being that the anyons will jitter, but this will not affect the topology of the braid if the jitter is small enough. Second, thermal effects may cause the pair produc- tion of anyons which will wander through ...

15

Symmetric topological phases and tensor network states:

Symmetric topological phases and tensor network states:

... non-trivial topological invariant, the triple linking number,[16] of the worldsheets of three loops in the 3+1D ...of topological linking number of loops in three dimensions to topological linking of ...

192

Symmetry-Protected Topological Phases of Quantum Matter

Symmetry-Protected Topological Phases of Quantum Matter

... SPT phases and their universal physical ...SPT phases in realistic models of particular experimental ...SPT phases and how SPT order might be detected in a quantum Monte Carlo ...SPT phases ...

42

Topological phases and phase transitions in magnets and ice

Topological phases and phase transitions in magnets and ice

... 1 Degeneracies and fluctuations of Néel skyrmions in confined geometries The recent discovery of tunable Dzyaloshinskii-Moriya interactions in layered magnetic materials with perpendicular magnetic anisotropy makes them ...

141

Symmetry Protected Topological Phases of Spin Chains

Symmetry Protected Topological Phases of Spin Chains

... More recently, the focus shifted towards interacting sys- tems. Due to strong correlations between the electrons, the notion of a band structure ceases to be valid and alternative methods to detect and to classify ...

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