Quantum transport in the presence of phase-breaking scattering: Generalized Landauer formula

Shechao Feng

Physica A: Statistical Mechanics and its Applications, 1990, vol. 168, issue 1, 439-446

Abstract: We generalize the quantum transport Landauer-Büttiker multi-channel conductance formula to the case where phase-breaking electron- “phonon” scattering is present. The electron-phonon interaction Hamiltonian is approximated to be that of a local phonon model, which can be solved exactly. This enables one to treat the phase-breaking effect in mesoscopic conductance problems via the knowledge of the electron-phonon coupling constant and the amplitude transmission coefficients for the one electron problem in the presence of a given impurity scattering potential for an energy range h̷/τϕ around EF. We illustrate the applications of this new transport formalism by an Einstein phonon model, and the suppression of hc/e oscillations of a ballistic Aharonov-Bohm ring.

Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:168:y:1990:i:1:p:439-446

DOI: 10.1016/0378-4371(90)90396-A

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