Causality vs. Ward identity in disordered electron systems

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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4 pages, REVTeX, 6 EPS figures

Scientific paper

10.1142/S0217984904007591

We address the problem of fulfilling consistency conditions in solutions for disordered noninteracting electrons. We prove that if we assume the existence of the diffusion pole in an electron-hole symmetric theory we cannot achieve a solution with a causal self-energy that would fully fit the Ward identity. Since the self-energy must be causal, we conclude that the Ward identity is partly violated in the diffusive transport regime of disordered electrons. We explain this violation in physical terms and discuss its consequences.

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