Shell-Model Monte Carlo Simulations of Pairing in Few-Fermion Systems

Details Shell-Model Monte Carlo Simulations of Pairing in Few-Fermion Systems Shell-Model Monte Carlo Simulations of Pairing in Few-Fermion Systems

2008-03-19

arxiv.org/abs/0803.2861v2

Physics

Condensed Matter

Superconductivity

Revtex format, 4+ pages, 3 figures. Revised version

Scientific paper

We study a trapped system of fermions with an attractive zero-range two-body interaction using the Shell-Model Monte Carlo method. The method provides {\em ab initio} results in the low $N$ limit where mean-field theory is not applicable. The energy and pairing properties are presented as functions of interaction strength, particle number, and temperature. In the interesting region where typical matrix elements of the two-body interaction are comparable to the level spacing of the trap we find large odd-even effects and signatures of shell structure. As a function of temperature, we observe the disappearance of these effects as in a phase transition.

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