Fyzikální ústav Akademie věd ČR

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COHERENCE IN DISORDERED AND NONEQUILIBRIUM QUANTUM SYSTEMS

A self-consistent mean-field theory for vertex functions of disordered electrons was developed. We extended the one-electron mean-field theory (CPA) by introducing a two-particle electron-hole symmetry and an appropriate two-particle self-consistency. We were able to include the backscattering effects and derived an analytic theory of Anderson localization transition.
The method of nonequilibrium Green functions was used to analyze dynamics of many-electron correlated systems on a range from fast initial transient to kinetic evolution. A reconstruction theorem was proved and the corresponding reconstruction equations were shown to represent a renormalized version of a family of generalizations of the Kadanoff-Baym ansatz. A new time-partitioning method was developed and applied to the Dyson equation with weakly time-nonlocal correlated initial conditions.