Quasiparticles with fractional charge and fractional statistics are key features of the fractional
quantum Hall effect. We discuss in detail the definitions of fractional charge and statistics …

The edges of quantum Hall fluids behave as one-dimensional conductors. This article
reviews electron transport into these edge states, covering both the theory based on the …

We analyze pairing of fermions in two dimensions for fully gapped cases with broken parity
(P) and time reversal (T), especially cases in which the gap function is an orbital angular …

We study current versus voltage (I− V) when tunneling into the edge of the fractional
quantum Hall effect over a continuum of filling factors (ν) from 1/4 to 1. Our devices manifest …

The half-filled Landau level is widely believed to be described by the Halperin-Lee-Read
theory of the composite Fermi liquid (CFL). In this paper, we develop a theory for the particle …

Motivated by the issue of particle-hole symmetry for the composite fermion Fermi sea at the
half-filled Landau level, Son has made an intriguing proposal [Phys. Rev. X 5, 031027 …

We study the edges of fractional quantum spin Hall insulators (FQSH) with half-integer spin
Hall conductance. These states can be viewed as symmetric combinations of a spin-up and …

Proximity-induced superconductivity in fractional quantum Hall edges is a prerequisite to
proposed realizations of parafermion zero modes. A recent experimental work [Gül, Phys …

We present an effective theory for the bulk fractional quantum Hall states on the Jain
sequences on closed surfaces and show that it has a universal form whose structure does …

The non-Abelian state has garnered considerable interest in the field of fundamental physics
and future applications in quantum computing. In this review, we introduce the basic ideas of …