Quantum transport using the Ford-Kac-Mazur formalism

Details Quantum transport using the Ford-Kac-Mazur formalism Quantum transport using the Ford-Kac-Mazur formalism

2002-09-23

arxiv.org/abs/cond-mat/0209533v2

Phys. Rev. B, vol. 67, 195405 (2003)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

10 pages, 4 figures

Scientific paper

10.1103/PhysRevB.67.195405

The Ford-Kac-Mazur formalism is used to study quantum transport in (1) electronic and (2) harmonic oscillator systems connected to general reservoirs. It is shown that for non-interacting systems the method is easy to implement and is used to obtain many exact results on electrical and thermal transport in one-dimensional disordered wires. Some of these have earlier been obtained using nonequilibrium Green function methods. We examine the role that reservoirs and contacts can have on determining the transport properties of a wire and find several interesting effects.

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