Calculation of the average Green's function of electrons in a stochastic medium via higher-dimensional bosonization

Details Calculation of the average Green's function of electrons in a stochastic medium via higher-dimensional bosonization Calculation of the average Green's function of electrons in a stochastic medium via higher-dimensional bosonization

1996-02-02

arxiv.org/abs/cond-mat/9602014v1

J. Phys. Cond. Mat. 8, 10483 (1996)

Physics

Condensed Matter

RevTex, no figures

Scientific paper

10.1088/0953-8984/8/49/036

The disorder averaged single-particle Green's function of electrons subject to a time-dependent random potential with long-range spatial correlations is calculated by means of bosonization in arbitrary dimensions. For static disorder our method is equivalent with conventional perturbation theory based on the lowest order Born approximation. For dynamic disorder, however, we obtain a new non-perturbative expression for the average Green's function. Bosonization also provides a solid microscopic basis for the description of the quantum dynamics of an interacting many-body system via an effective stochastic model with Gaussian probability distribution.

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