Exact partition functions of interacting lattice fermions

Exact expressions are obtained for Grassmann integrals of exponentials corresponding to the partition functions of systems of lattice fermions with nearest‐neighbor interactions. It is achieved by relating to the dimer problem and use of its combinatorial techniques.

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Bibliographic Details
Published in:Journal of mathematical physics 1992-03, Vol.33 (3), p.1082-1089
Main Authors: Grandati, Y., Bérard, A., Grangé, P.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fermion systems and electron gas
Physical Sciences
Physics
Physics, Mathematical
Quantum statistical mechanics
Science & Technology
Statistical physics, thermodynamics, and nonlinear dynamical systems
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Description
Summary:Exact expressions are obtained for Grassmann integrals of exponentials corresponding to the partition functions of systems of lattice fermions with nearest‐neighbor interactions. It is achieved by relating to the dimer problem and use of its combinatorial techniques.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.529770