The modular commutator is a recently discovered entanglement quantity that quantifies the
chirality of the underlying many-body quantum state. In this Letter, we derive a universal …

In disordered systems, wave functions in the Schrödinger equation may exhibit a transition
from the extended phase to the localized phase, in which the states at the boundaries or …

Recent developments in fractional quantum Hall (FQH) physics highlight the importance of
studying FQH phases of particles partially occupying energy bands that are not Landau …

The interplay between non-Hermiticity and disorder gives rise to unique universality classes
of Anderson transitions. Here, we develop a field-theoretical description of non-Hermitian …

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 …

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 …

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 …

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 …

The quest for nonequilibrium quantum phase transitions is often hampered by the tendency
of driving and dissipation to give rise to an effective temperature, resulting in classical …

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