Quantum transport using the Ford-Kac-Mazur formalism

Abhishek Dhar and B. Sriram Shastry
Phys. Rev. B 67, 195405 – Published 7 May 2003
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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.

  • Received 28 January 2003

DOI:https://doi.org/10.1103/PhysRevB.67.195405

©2003 American Physical Society

Authors & Affiliations

Abhishek Dhar1,* and B. Sriram Shastry2,†

  • 1Physics Department, University of California, Santa Cruz, California 95064
  • 2Indian Institute of Science, Bangalore 560012, India

  • *On leave from Raman Research Institute, Bangalore, India.
  • Also at JNCASR, Bangalore, India.

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Vol. 67, Iss. 19 — 15 May 2003

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