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Quantum transport using the Ford-Kac-Mazur formalism

2002/09/30 by Abhishek Dhar, B. Sriram Shastry · 4 citations
Engineering · Materials Science · Physics and Astronomy · #Advancements in Semiconductor Devices and Circuit Design #Formalism (music) #Graphene research and applications #Harmonic oscillator #Non-equilibrium thermodynamics #Physics #Quantum #Quantum and electron transport phenomena #Quantum mechanics #Statistical physics #Thermal #Thermodynamics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.67.195405

published as Phys. Rev. B, vol. 67, 195405 (2003) · 10 pages, 4 figures

openalex publication_date 2003/05/07 · arxiv created 2003/05/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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 noninteracting 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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