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

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 …

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 propose a two-fluid description of fractional quantum Hall systems, in which one
component is a condensate of composite bosons and the other is a Fermi liquid formed by …

Transformations between the plateau states of the quantum Hall effect (QHE) are an
archetypical example of quantum phase transitions (QPTs) between phases with non-trivial …

We investigate the effects of quenched randomness on topological quantum phase
transitions in strongly interacting two-dimensional systems. We focus first on transitions …

We study the critical properties of the noninteracting integer quantum Hall to insulator
transition (IQHIT) in a “dual” composite-fermion (CF) representation. A key advantage of the …

We study a network model on the kagome lattice (NMKL). This model generalizes the
Chalker-Coddington network model for the integer quantum Hall transition. Unlike random …

Interaction and localization are two fundamental pillars in understanding the physics of solid-
state systems. In quantum Hall systems, through the application of a strong magnetic field …

The interplay of interactions and quenched disorder in conventional metals has been
actively studied for decades. The paradigmatic approach to this problem relies on Landau's …