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Title: Composite Fermions: Motivation, Successes, and Application to Fractional Quantum Hall Effect in Graphene

Abstract

The fractional quantum Hall effect (FQHE) is one of the most amazing collective states discovered in modern times. A remarkably detailed and accurate understanding of its nonperturbative physics has been achieved in terms of a new class of exotic particles called composite fermions. I will begin with a brief review of the composite fermion theory and its outstanding successes. The rest of the talk will be concerned with fractional quantum Hall effect in graphene, observed recently. I will present results of theoretical studies that demonstrate that composite fermions are formed in graphene as well, but the spin and valley degeneracies and the linear dispersion of electrons produce interesting new physics relative to that in the usual two-dimensional GaAs systems. Composite fermion theory allows detailed predictions about FQHE in graphene in regimes when either or both of the spin and valley degeneracies are broken. I will discuss the relevance of our theory to recent experiments. This work on FQHE in graphene has been performed in collaboration with Csaba Toke.

Authors:
 [1]
  1. PSU (United States)
Publication Date:
OSTI Identifier:
21608175
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1349; Journal Issue: 1; Conference: 55. DAE solid state physics symposium 2010, Manipal (India), 26-30 Dec 2010; Other Information: DOI: 10.1063/1.3605723; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 77 NANOSCIENCE AND NANOTECHNOLOGY; CARBON COMPOUNDS; ELECTRONS; GALLIUM ARSENIDES; GRAPHITE; HALL EFFECT; NANOSTRUCTURES; REVIEWS; SPIN; TWO-DIMENSIONAL CALCULATIONS; ANGULAR MOMENTUM; ARSENIC COMPOUNDS; ARSENIDES; CARBON; DOCUMENT TYPES; ELEMENTARY PARTICLES; ELEMENTS; FERMIONS; GALLIUM COMPOUNDS; LEPTONS; MINERALS; NONMETALS; PARTICLE PROPERTIES; PNICTIDES

Citation Formats

Jain, Jainendra. Composite Fermions: Motivation, Successes, and Application to Fractional Quantum Hall Effect in Graphene. United States: N. p., 2011. Web. doi:10.1063/1.3605723.
Jain, Jainendra. Composite Fermions: Motivation, Successes, and Application to Fractional Quantum Hall Effect in Graphene. United States. doi:10.1063/1.3605723.
Jain, Jainendra. Fri . "Composite Fermions: Motivation, Successes, and Application to Fractional Quantum Hall Effect in Graphene". United States. doi:10.1063/1.3605723.
@article{osti_21608175,
title = {Composite Fermions: Motivation, Successes, and Application to Fractional Quantum Hall Effect in Graphene},
author = {Jain, Jainendra},
abstractNote = {The fractional quantum Hall effect (FQHE) is one of the most amazing collective states discovered in modern times. A remarkably detailed and accurate understanding of its nonperturbative physics has been achieved in terms of a new class of exotic particles called composite fermions. I will begin with a brief review of the composite fermion theory and its outstanding successes. The rest of the talk will be concerned with fractional quantum Hall effect in graphene, observed recently. I will present results of theoretical studies that demonstrate that composite fermions are formed in graphene as well, but the spin and valley degeneracies and the linear dispersion of electrons produce interesting new physics relative to that in the usual two-dimensional GaAs systems. Composite fermion theory allows detailed predictions about FQHE in graphene in regimes when either or both of the spin and valley degeneracies are broken. I will discuss the relevance of our theory to recent experiments. This work on FQHE in graphene has been performed in collaboration with Csaba Toke.},
doi = {10.1063/1.3605723},
journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1349,
place = {United States},
year = {2011},
month = {7}
}