Single Scale Analysis of Many Fermion Systems. Part 1: Insulators

Details Single Scale Analysis of Many Fermion Systems. Part 1: Insulators Single Scale Analysis of Many Fermion Systems. Part 1: Insulators

2002-09-21

arxiv.org/abs/math-ph/0209040v1

Physics

Mathematical Physics

42 pages

Scientific paper

10.1142/S0129055X03001801

We construct, using fermionic functional integrals, thermodynamic Green's functions for a weakly coupled fermion gas whose Fermi energy lies in a gap. Estimates on the Green's functions are obtained that are characteristic of the size of the gap. This prepares the way for the analysis of single scale renormalization group maps for a system of fermions at temperature zero without a gap.

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