It is by now well established that Dirac fermions coupled to non-Abelian gauge theories can
undergo an Anderson-type localization transition. This transition affects eigenmodes in the …

Topological phases of matter are ubiquitous in crystals, but less is known about their
existence in amorphous systems, that lack long-range order. We review the recent progress …

Much of the qualitative nature of physical systems can be predicted from the way it scales
with system size. Contrary to the continuum expectation, we observe a profound deviation …

Fractional quantum Hall (FQH) phases emerge due to strong electronic interactions and are
characterized by anyonic quasiparticles, each distinguished by unique topological …

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 …

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

Disorder and electron-electron interaction play essential roles in the physics of electron
systems in condensed matter. In two-dimensional, quantum Hall systems, extensive studies …

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 …

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 …

The interplay between interaction and disorder-induced localization is of fundamental
interest. This article addresses localization physics in the fractional quantum Hall state …