Confined coherence and analytic properties of Green's functions

Details Confined coherence and analytic properties of Green's functions Confined coherence and analytic properties of Green's functions

1997-10-31

arxiv.org/abs/cond-mat/9710343v1

Physics

Condensed Matter

Strongly Correlated Electrons

3 pages, 3 figures

Scientific paper

10.1103/PhysRevB.58.3494

A simple model of noninteracting electrons with a separable one-body potential is used to discuss the possible pole structure of single particle Green's functions for fermions on unphysical sheets in the complex frequency plane as a function of the system parameters. The poles in the exact Green's function can cross the imaginary axis, in contrast to recent claims that such a behaviour is unphysical. As the Green's function of the model has the same functional form as an approximate Green's function of coupled Luttinger liquids no definite conclusions concerning the concept of "confined coherence" can be drawn from the locations of the poles of this Green's function.

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