We report a careful finite size scaling study of the metal–insulator transition in Anderson's
model of localization. We focus on the estimation of the critical exponent ν that describes the …

This work presents a computational program based on the principles of non-commutative
geometry and showcases several applications to topological insulators. Noncommutative …

Two-dimensional (2D) Dirac fermions are a central paradigm of modern condensed matter
physics, describing low-energy excitations in graphene, in certain classes of …

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 …

We offer a new perspective on the problem of characterizing mesoscopic fluctuations in the
interplateau regions of the integer quantum Hall transition. We found that longitudinal and …

We present a numerical finite-size scaling study of the localization length in long cylinders
near the integer quantum Hall transition employing the Chalker-Coddington network model …

We establish the theory of critical transport in amorphous Chern insulators and show that it
lies beyond the current paradigm of topological criticality epitomized by the quantum Hall …

Within the mature field of Anderson transitions, the critical properties of the integer quantum
Hall transition still pose a significant challenge. Numerical studies of the transition suffer …

In this paper we propose an S-matrix approach to numerical simulations of network models
and apply it to random networks that we proposed in a previous work [IA Gruzberg, A …

Motivated by the recent numerical studies on the Chalker-Coddington network model that
found a larger-than-expected critical exponent of the localization length characterizing the …