Path integral Monte Carlo simulations for fermion systems: pairing in the electron-hole plasma

J. Shumway, D. M. Ceperley

Research output: Contribution to journalConference articlepeer-review

Abstract

We review the path integral method wherein quantum systems are mapped with Feynman's path integrals onto a classical system of 'ring-polymers' and then simulated with the Monte Carlo technique. Bose or Fermi statistics correspond to possible 'cross-linking' of polymers. As proposed by Feynman, superfluidity and Bose condensation result from macroscopic exchange of bosons. To map fermions onto a positive probability distribution, one must restrict the paths to lie in regions where the fermion density matrix is positive. We discuss a recent application to the two-component electron-hole plasma. At low temperature excitons and bi-excitons form. We have used nodal surfaces incorporating paired fermions and see evidence of a Bose condensation in the energy, specific heat and superfluid density. In the restricted path integral picture, pairing appears as intertwined electron-hole paths. Bose condensation occurs when these intertwined paths wind around the periodic boundaries.

Original languageEnglish (US)
Pages (from-to)Pr5-3 - Pr5-16
JournalJournal De Physique. IV : JP
Volume10
Issue number5
DOIs
StatePublished - 2000
EventSccS99: The 1999 International Conference on Strongly Coupled Coulomb Systems - Saint-Malo, France
Duration: Sep 4 1999Sep 10 1999

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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