Quasiclassical and Statistical Properties of Fermion Systems

Details Quasiclassical and Statistical Properties of Fermion Systems Quasiclassical and Statistical Properties of Fermion Systems

2002-01-11

arxiv.org/abs/cond-mat/0201160v1

Phys. Rev. B66 014530 (2002)

Physics

Condensed Matter

Statistical Mechanics

19 pages, RevTex, two postscript figures

Scientific paper

10.1103/PhysRevB.66.014530

A quasiclassical correspondent for the fermion degrees of freedom is obtained by using a time-dependent variational principle with Grassmann coherent states as trial functions. In the real parametrization provided by the canonical coordinates, these states satisfy a closure relationship, and this is used to calculate the partition function at finite temperature. The particular example considered here consists of a many-fermion system in a quantum double-well. Entanglement between the one-particle orbital states leads to deviations from the normal Fermi-Dirac distribution. This deviation is reflected in the dependence of the chemical potential on concentration. In the physical example of two adjacent CuO planes in a high-Tc superconductor, the dependence is suggestive of the pseudogap observed at temperatures T>Tc.

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