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

Journal Article · Fri Jul 15 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3605723· OSTI ID:21608175

Jain, Jainendra ^[1]

---

1. PSU (United States)

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.

• OSTI ID: 21608175
• Journal Information: AIP Conference Proceedings, Vol. 1349, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

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