Abstract

The interaction of a single bosonic mode with a two-level fermion system is investigated. For the condensed-matter physicist the boson in question is typically a phonon whereas the fermion system is represented by a two-level electron structure. In this work we shall use both the connected moments expansion (CMX) and the alternate moments expansion (AMX) as well as the non-perturbative Lanczos tridiagonal scheme to study the ground-state spectrum of this system. Comparisons will be made with other approximation schemes as well as “exact” methods.

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