Fragility of surface states in non-Wigner-Dyson topological insulators
Topological insulators and superconductors support extended surface states protected
against the otherwise localizing effects of static disorder. Specifically, in the Wigner-Dyson …
against the otherwise localizing effects of static disorder. Specifically, in the Wigner-Dyson …
Enhanced amplitude for superconductivity due to spectrum-wide wave function criticality in quasiperiodic and power-law random hop** models
X Zhang, MS Foster - Physical Review B, 2022 - APS
We study the interplay of superconductivity and a wide spectrum of critical (multifractal) wave
functions (“spectrum-wide quantum criticality,” SWQC) in the one-dimensional Aubry-André …
functions (“spectrum-wide quantum criticality,” SWQC) in the one-dimensional Aubry-André …
Tunning the tilt of the Dirac cone by atomic manipulations in 8Pmmn borophene
Two dimensional quantum materials possessing Dirac cones in their spectrum are
fascinating due to their emergent low-energy Dirac fermions. In 8Pmmn borophene the Dirac …
fascinating due to their emergent low-energy Dirac fermions. In 8Pmmn borophene the Dirac …
Generalized multifractality at spin quantum Hall transition
Generalized multifractality characterizes scaling of eigenstate observables at Anderson-
localization critical points. We explore generalized multifractality in 2D systems, with the …
localization critical points. We explore generalized multifractality in 2D systems, with the …
Generalized multifractality at the spin quantum Hall transition: Percolation map** and pure-scaling observables
This work extends the analysis of the generalized multifractality of critical eigenstates at the
spin quantum Hall transition in two-dimensional disordered superconductors [JF Karcher …
spin quantum Hall transition in two-dimensional disordered superconductors [JF Karcher …
How spectrum-wide quantum criticality protects surface states of topological superconductors from Anderson localization: Quantum Hall plateau transitions (almost) all …
We review recent numerical studies of two-dimensional (2D) Dirac fermion theories that
exhibit an unusual mechanism of topological protection against Anderson localization …
exhibit an unusual mechanism of topological protection against Anderson localization …
The future of the correlated electron problem
A central problem in modern condensed matter physics is the understanding of materials
with strong electron correlations. Despite extensive work, the essential physics of many of …
with strong electron correlations. Despite extensive work, the essential physics of many of …
Spectrum-wide quantum criticality at the surface of class AIII topological phases: An “energy stack” of integer quantum Hall plateau transitions
In the absence of spin-orbit coupling, the conventional dogma of Anderson localization
asserts that all states localize in two dimensions, with a glaring exception: the quantum Hall …
asserts that all states localize in two dimensions, with a glaring exception: the quantum Hall …
Fragility of spectral flow for topological phases in non-Wigner-Dyson classes
Topological insulators and superconductors support extended surface states protected
against the otherwise localizing effects of static disorder. Specifically, in the Wigner-Dyson …
against the otherwise localizing effects of static disorder. Specifically, in the Wigner-Dyson …
Geodesic geometry of 2+ 1-D Dirac materials subject to artificial, quenched gravitational singularities
S Davis, M Foster - SciPost Physics, 2022 - scipost.org
The spatial modulation of the Fermi velocity for gapless Dirac electrons in quantum materials
is mathematically equivalent to the problem of massless fermions on a certain class of …
is mathematically equivalent to the problem of massless fermions on a certain class of …