Physics – Condensed Matter
Scientific paper
1999-09-29
J. Phys. IV France 10 (2000) Pr5-3-Pr5-16
Physics
Condensed Matter
14 pages, 7 figures Prepared for the 1999 International Conference on Strongly Coupled Coulomb Systems, Saint-Malo, France
Scientific paper
10.1051/jp4:2000501
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.
Ceperley David. M.
Shumway John
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