Quasiclassical and Statistical Properties of Fermion Systems
摘要
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.
引用
@article{arxiv.cond-mat/0201160,
title = {Quasiclassical and Statistical Properties of Fermion Systems},
author = {M. Grigorescu and W. E. Baylis},
journal= {arXiv preprint arXiv:cond-mat/0201160},
year = {2009}
}
备注
19 pages, RevTex, two postscript figures