Virial Expansions, Exclusion Statistics, and the Fractional Quantum Hall Effect

Details Virial Expansions, Exclusion Statistics, and the Fractional Quantum Hall Effect Virial Expansions, Exclusion Statistics, and the Fractional Quantum Hall Effect

1997-01-23

arxiv.org/abs/cond-mat/9701178v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, RevTex, 2 tables and 8 figures included in text

Scientific paper

10.1103/PhysRevB.56.7517

We report on a study of virial expansions for interacting electrons in the lowest Landau level of a two-dimensional electron gas. For hard-core-model interactions, we derive analytic results valid at low temperatures and filling factors smaller than 1/3 and comment on their relationship with virial expansions for exclusion statistics models. In the high temperature limit the virial coefficients reduce to those for a non-interacting electron system. For the first five virial coefficients, the crossover between low and high temperature limits has been studied numerically by using partition functions obtained from small system exact diagonalization calculations. Our results show that the exclusion statistics description of fractional Hall thermodynamics breaks down when the temperature exceeds a small fraction of the gap temperature.

Affiliated with

Also associated with

No associations

Rating

Virial Expansions, Exclusion Statistics, and the Fractional Quantum Hall Effect does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Virial Expansions, Exclusion Statistics, and the Fractional Quantum Hall Effect, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Virial Expansions, Exclusion Statistics, and the Fractional Quantum Hall Effect will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-88007