The results provide an explanation for why exact-diagonalization studies on random models see an apparent scaling near the transition while also obtaining finite-size scaling exponents that strongly violate Harris-Chayes bounds that apply to disorder-driven transitions.Expand

The transition from a many-body localized phase to a thermalizing one is a dynamical quantum phase transition which lies outside the framework of equilibrium statistical mechanics. We provide a… Expand

It is demonstrated that fractional quantum Hall states emerge with signatures of an even number of quasidegenerate ground states on a torus and a robust spectrum gap separating these states from the higher energy spectrum.Expand

The theoretical discovery of the fractional quantum Hall effect in the absence of Landau levels in an interacting fermion model is shown and the recently proposed topologically non-trivial flat-band model on a checkerboard lattice is proposed.Expand

We investigate the non-Abelian topological chiral spin liquid phase in the two-dimensional (2D) Kitaev honeycomb model subject to a magnetic field. By combining density matrix renormalization group… Expand

Recent theoretical works have demonstrated various robust Abelian and non-Abelian fractional topological phases in lattice models with topological flat bands carrying Chern number C = 1. Here we… Expand

This work shows that Kalmeyer-Laughlin chiral spin liquid exists in a frustrated anisotropic kagome Heisenberg model, which has spontaneous T breaking, and finds that this model has two topological degenerate ground states, which exhibit nonvanishing scalar chirality order and are protected by finite excitation gap.Expand

Based upon Raman spin-lattice interaction, this theory reproduces the essential experimental features of the phonon Hall effect, including the sign, magnitude, and linear magnetic field dependence of the thermal Hall conductivity.Expand

A many-body localized (MBL) state is a new state of matter emerging in a disordered interacting system at high energy densities through a disorder driven dynamic phase transition. The nature of the… Expand

The Chern number is often used to distinguish different topological phases of matter in two-dimensional electron systems. A fast and efficient coupling-matrix method is designed to calculate the… Expand