Anomalous Fisher-like zeros for the canonical partition function of noninteracting fermions

Details Anomalous Fisher-like zeros for the canonical partition function of noninteracting fermions Anomalous Fisher-like zeros for the canonical partition function of noninteracting fermions

2011-04-29

arxiv.org/abs/1104.5710v3

EPL, 96 (2011) 56003

Physics

Condensed Matter

Statistical Mechanics

5 pages and 5 figures

Scientific paper

10.1209/0295-5075/96/56003

Noninteracting fermions, placed in a system with a continuous density of states, may have zeros in the $N$-fermion canonical partition function on the positive real $\beta$ axis (or very close to it), even for a small number of particles. This results in a singular free energy, and instability in other thermal properties of the system. In the context of trapped fermions in a harmonic oscillator, these zeros are shown to be unphysical. By contrast, similar bosonic calculations with continuous density of states yield sensible results.Noninteracting fermions, placed in a system with a continuous density of states yield sensible results.

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