Composite fermion theory of exotic fractional quantum Hall effect

JK Jain - Annu. Rev. Condens. Matter Phys., 2015 - annualreviews.org
The fractional quantum Hall effect (FQHE) arises from strong correlations between electrons
when they are confined to two dimensions and exposed to a strong magnetic field. The …

Even-Denominator Fractional Quantum Hall State at Filling Factor

C Wang, A Gupta, SK Singh, YJ Chung, LN Pfeiffer… - Physical review …, 2022 - APS
Fractional quantum Hall states (FQHSs) exemplify exotic phases of low-disorder two-
dimensional (2D) electron systems when electron-electron interaction dominates over the …

Possible Anti-Pfaffian Pairing of Composite Fermions at

S Mukherjee, SS Mandal, A Wójs, JK Jain - Physical review letters, 2012 - APS
We predict that an incompressible fractional quantum Hall state is likely to form at ν= 3/8 as a
result of a chiral p-wave pairing of fully spin polarized composite fermions carrying four …

Tripartite composite fermion states

GJ Sreejith, YH Wu, A Wójs, JK Jain - Physical Review B—Condensed Matter …, 2013 - APS
The Read-Rezayi wave function is one of the candidates for the fractional quantum Hall
effect at filling fraction ν= 2+ ⅗, and thereby also its hole conjugate at 2+ ⅖. We study a …

Interacting composite fermions: Nature of the 4/5, 5/7, 6/7, and 6/17 fractional quantum Hall states

AC Balram - Physical Review B, 2016 - APS
Numerical studies by Wójs, Yi, and Quinn have suggested that an unconventional fractional
quantum Hall effect is plausible at filling factors ν= 1/3 and 1/5, provided the interparticle …

The enigma of the fractional quantum Hall effect

JA Hutasoit, AC Balram, S Mukherjee, YH Wu… - Physical Review B, 2017 - APS
The fractional quantum Hall effect at ν= 2+ 3/8, which has been definitively observed, is one
of the last fractions for which no viable explanation has so far been demonstrated. Our …

Possible realization of a chiral -wave paired state in a two-component system

S Mukherjee, JK Jain, SS Mandal - Physical Review B, 2014 - APS
There is much interest in the realization of systems with p-wave pairing in one dimension or
chiral p-wave pairing in two dimensions, because these are believed to support Majorana …

Incompressible states of the interacting composite fermions in negative effective magnetic fields at , and 3/10

S Mukherjee, SS Mandal - Physical Review B, 2015 - APS
By developing an algorithm for evaluating the basis states for the composite fermions with
negative effective magnetic field, we perform the composite-fermion-diagonalization study …

Anomalously low magnetoroton energies of the unconventional fractional quantum hall states of composite fermions

S Mukherjee, SS Mandal - Physical Review Letters, 2015 - APS
We show a generic formation of the primary magnetorotons in the collective modes of the
observed “unconventional” fractional quantum Hall effect states of the composite fermions at …

Circularly polarized resonant Rayleigh scattering and Skyrmions in the  1 quantum Hall ferromagnet

V Bellani, F Rossella, M Amado, E Diez, K Kowalik… - Physical Review B …, 2011 - APS
We use the circularly polarized resonant Rayleigh scattering (RRS) to study the quantum
Hall ferromagnet at ν= 1. At this filling factor, we observe a right-handed copolarized RRS …