Topological insulators and superconductors support extended surface states protected
against the otherwise localizing effects of static disorder. Specifically, in the Wigner-Dyson …

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 …

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 …

Generalized multifractality characterizes scaling of eigenstate observables at Anderson-
localization critical points. We explore generalized multifractality in 2D systems, with the …

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 …

We review recent numerical studies of two-dimensional (2D) Dirac fermion theories that
exhibit an unusual mechanism of topological protection against Anderson localization …

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 …

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 …

Topological insulators and superconductors support extended surface states protected
against the otherwise localizing effects of static disorder. Specifically, in the Wigner-Dyson …

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 …