Transport theory of interacting mesoscopic systems: A memory-function approach to charge-counting statistics

摘要: We address the subtle problem of formulating mesoscopic transport phenomena in language many-body physics. propose a microscopic description which whole system (sample, leads, and detectors) is given fully-quantum-mechanical treatments. The dynamics obtained from projection, or memory-function, formalism nonequilibrium statistical mechanics combined with recent prescriptions for measurements that are extended time domain. associated irreversible quantum contains an intrinsic doubling degrees freedom identical to real-time path-integral representation Keldysh formalism. derive simple formula relating generating function charge-counting statistics single-particle matrix Green's interacting system, thereby generalizing Levitov-Lesovik functional determinant formula. report interesting sample-leads duality our description, has interpretation regime noninteracting particles, thus establishing equivalence between Green's-function technique random scattering-matrix approach. discuss physical conditions, within present scheme, validity Landauer-Buttiker transport. conclude by providing exact solution charge transfer into ballistic cavity presence periodic time-dependent voltage, using supersymmetry method.