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 …

Pairing states of composite fermions in double-layer graphene

JIA Li, Q Shi, Y Zeng, K Watanabe, T Taniguchi… - Nature Physics, 2019‏ - nature.com
Heterostructures of vertically stacked graphene double layers, separated by a thin tunnel
barrier, provide a highly tunable system to explore strongly interacting electron states. This is …

Next-generation even-denominator fractional quantum Hall states of interacting composite fermions

C Wang, A Gupta, PT Madathil, SK Singh… - Proceedings of the …, 2023‏ - pnas.org
The discovery of the fractional quantum Hall state (FQHS) in 1982 ushered a new era of
research in many-body condensed matter physics. Among the numerous FQHSs, those …

Abelian parton state for the fractional quantum Hall effect

AC Balram - Physical Review B, 2021‏ - APS
We consider the fractional quantum Hall effect at the filling factor ν= 4/11, where two
independent experiments have observed a well-developed and quantized Hall plateau. We …

Delocalization and universality of the fractional quantum hall plateau-to-plateau transitions

PT Madathil, KA Villegas Rosales, CT Tai, YJ Chung… - Physical review …, 2023‏ - APS
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 …

Phase diagram of fractional quantum Hall effect of composite fermions in multicomponent systems

AC Balram, C Tőke, A Wójs, JK Jain - Physical review B, 2015‏ - APS
While the integer quantum Hall effect of composite fermions manifests as the prominent
fractional quantum Hall effect (FQHE) of electrons, the FQHE of composite fermions …

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 …

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 …

Particle-hole symmetry for composite fermions: An emergent symmetry in the fractional quantum Hall effect

AC Balram, JK Jain - Physical Review B, 2017‏ - APS
The particle-hole (PH) symmetry of electrons is an exact symmetry of the electronic
Hamiltonian confined to a specific Landau level, and its interplay with the formation of …

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 …