Quasiparticle interactions in fractional quantum Hall systems: Justification of different hierarchy schemes

Journal Article · Sat Jan 15 00:00:00 EST 2000 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.61.2846· OSTI ID:20215325

Wojs, Arkadiusz ^[1]; Quinn, John J ^[1]

---

1. Department of Physics, University of Tennessee, Knoxville, Tennessee 37996 (United States)

The pseudopotentials describing the interactions of quasiparticles in fractional quantum Hall (FQH) states are studied. Rules for the identification of incompressible quantum fluid ground states are found, based upon the form of the pseudopotentials. States belonging to the Jain sequence {nu}=n(1+2pn){sup -1}, where n and p are integers, appear to be the only incompressible states in the thermodynamic limit, although other FQH hierarchy states occur for finite size systems. This explains the success of the composite Fermion picture. (c) 2000 The American Physical Society.

• OSTI ID: 20215325
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 61, Issue 4; Other Information: PBD: 15 Jan 2000; ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HALL EFFECT
ELECTRON GAS
ELECTRONIC STRUCTURE
INTERFACES
FERMIONS
THEORETICAL DATA