Fractional charge and fractional statistics in the quantum Hall effects

DE Feldman, BI Halperin - Reports on Progress in Physics, 2021‏ - iopscience.iop.org
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 …

Parton construction of a wave function in the anti-Pfaffian phase

AC Balram, M Barkeshli, MS Rudner - Physical Review B, 2018‏ - APS
In this work we propose a parton state as a candidate state to describe the fractional
quantum Hall effect in the half-filled second Landau level. The wave function for this parton …

Fractional Quantum Hall States of the Phase in the Second Landau Level

S Das, S Das, SS Mandal - Physical Review Letters, 2024‏ - APS
A proposal of the existence of an Anomalous phase (A phase)[Das et al., Phys. Rev. Lett.
131, 056202 (2023) PRLTAO 0031-9007 10.1103/PhysRevLett. 131.056202] at the …

Fractional quantum Hall effect at

AC Balram, A Wójs - Physical Review Research, 2020‏ - APS
Motivated by two independent experiments revealing a resistance minimum at the Landau
level (LL) filling factor ν= 2+ 4/9, characteristic of the fractional quantum Hall effect (FQHE) …

A non-Abelian parton state for the fractional quantum Hall effect

A Coimbatore Balram - SciPost Physics, 2021‏ - scipost.org
Fascinating structures have arisen from the study of the fractional quantum Hall effect
(FQHE) at the even denominator fraction of $5/2$. We consider the FQHE at another even …

Parton construction of particle-hole-conjugate Read-Rezayi parafermion fractional quantum Hall states and beyond

AC Balram, M Barkeshli, MS Rudner - Physical Review B, 2019‏ - APS
The Read-Rezayi (RR) parafermion states form a series of exotic non-Abelian fractional
quantum Hall (FQH) states at filling ν= k/(k+ 2). Computationally, the wave functions of these …

Nature of the anomalous fractional quantum Hall effect in graphene

RK Dora, AC Balram - Physical Review B, 2022‏ - APS
Extensive fractional quantum Hall effect (FQHE) has been observed in graphene-based
materials. Some of the observed fractions are anomalous in that FQHE has not been …

Prediction of non-Abelian fractional quantum Hall effect at

K Bose, AC Balram - Physical Review B, 2023‏ - APS
The fractional quantum Hall effect (FQHE) in the second Landau level (SLL) likely stabilizes
non-Abelian topological orders. Recently, a parton sequence has been proposed to capture …

Non-Abelian fractional quantum Hall state at -filled Landau level

WN Faugno, JK Jain, AC Balram - Physical Review Research, 2020‏ - APS
We consider a non-Abelian candidate state at filling factor ν= 3/7 state belonging to the
parton family. We find that, in the second Landau level of GaAs (ie, at filling factor ν= 2+ 3/7) …

Parton wave function for the fractional quantum Hall effect at

AC Balram, A Wójs - Physical Review Research, 2021‏ - APS
We consider the fractional quantum Hall effect at the filling ν= 6/17, where experiments have
observed features of incompressibility in the form of a minimum in the longitudinal …