Anderson transitions
The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …
systems is reviewed. The term “Anderson transition” is understood in a broad sense …
Multifractal finite-size scaling and universality at the Anderson transition
We describe a new multifractal finite-size scaling (MFSS) procedure and its application to
the Anderson localization-delocalization transition. MFSS permits the simultaneous …
the Anderson localization-delocalization transition. MFSS permits the simultaneous …
Critical exponent for the quantum Hall transition
We report an estimate ν= 2.593 [2.587, 2.598] of the critical exponent of the Chalker-
Coddington model of the integer quantum Hall effect that is significantly larger than previous …
Coddington model of the integer quantum Hall effect that is significantly larger than previous …
Critical parameters from a generalized multifractal analysis at the Anderson transition
We propose a generalization of multifractal analysis that is applicable to the critical regime of
the Anderson localization-delocalization transition. The approach reveals that the behavior …
the Anderson localization-delocalization transition. The approach reveals that the behavior …
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 …
Conformal invariance and multifractality at Anderson transitions in arbitrary dimensions
J Padayasi, I Gruzberg - Physical Review Letters, 2023 - APS
Multifractals arise in various systems across nature whose scaling behavior is characterized
by a continuous spectrum of multifractal exponents Δ q. In the context of Anderson …
by a continuous spectrum of multifractal exponents Δ q. In the context of Anderson …
Superspace conformal field theory
T Quella, V Schomerus - Journal of Physics A: Mathematical and …, 2013 - iopscience.iop.org
Conformal sigma models and Wess–Zumino–Witten (WZW) models on coset superspaces
provide important examples of logarithmic conformal field theories. They possess many …
provide important examples of logarithmic conformal field theories. They possess many …
Criticality of two-dimensional disordered Dirac fermions in the unitary class and universality of the integer quantum Hall transition
Two-dimensional (2D) Dirac fermions are a central paradigm of modern condensed matter
physics, describing low-energy excitations in graphene, in certain classes of …
physics, describing low-energy excitations in graphene, in certain classes of …
Multifractal Analysis with the Probability Density Function<? format?> at the Three-Dimensional Anderson Transition
A Rodriguez, LJ Vasquez, RA Römer - Physical review letters, 2009 - APS
The probability density function (PDF) for critical wave function amplitudes is studied in the
three-dimensional Anderson model. We present a formal expression between the PDF and …
three-dimensional Anderson model. We present a formal expression between the PDF and …
Numerical evidence for marginal scaling at the integer quantum Hall transition
EJ Dresselhaus, B Sbierski, IA Gruzberg - Annals of Physics, 2021 - Elsevier
The integer quantum Hall transition (IQHT) is one of the most mysterious members of the
family of Anderson transitions. Since the 1980s, the scaling behavior near the IQHT has …
family of Anderson transitions. Since the 1980s, the scaling behavior near the IQHT has …