Conservation laws in disordered electron systems: Thermodynamic limit and configurational averaging

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dc.creatorJanis, V.
dc.creatorKolorenc, J.
dc.date2004-03-24
dc.date.accessioned2026-07-07T10:02:56Z
dc.date.available2026-07-07T10:02:56Z
dc.descriptionWe discuss conservation of probability in noniteracting disordered electron systems. We argue that although the norm of the electron wave function is conserved in individual realizations of the random potential, we cannot extend this conservation law easily to configurationally averaged systems in the thermodynamic limit. A direct generalization of the norm conservation to averaged functions is hindered by the existence of localized states breaking translational invariance. Such states are elusive to the description with periodic Bloch waves. Mathematically this difficulty is manifested through the diffusion pole in the electron-hole irreducible vertex. The pole leads to a clash with analyticity of the self-energy, reflecting causality of the theory, when norm conservation is enforced by the Ward identity between one- and two-particle averaged Green functions.
dc.descriptionREVTeX4, 8 pages, no figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0403618
dc.identifierhttp://arxiv.org/abs/cond-mat/0403618
dc.identifierPhys. Stat. Sol. (B) 241, 2032 (2004)
dc.identifierdoi:10.1002/pssb.200404786
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169147
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleConservation laws in disordered electron systems: Thermodynamic limit and configurational averaging
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