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Quantum diffusion in thin disordered wires

N. Kumar and A. M. Jayannavar
Phys. Rev. B 32, 3345(R) – Published 1 September 1985
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Abstract

Quantum Ohmic residual resistance of a thin disordered wire, approximated as a one-dimensional multichannel conductor, is known to scale exponentially with length. This nonadditivity is shown to imply (i) a low-frequency noise-power spectrum proportional to -ln(Ω)/Ω, and (ii) a dispersive capacitative impedance proportional to tanh(√iΩ )/ √iΩ. A deep connection to the quantum Brownian motion with linear dynamical frictional coupling to a harmonic-oscillator bath is pointed out and interpreted in physical terms.

  • Received 13 May 1985

DOI:https://doi.org/10.1103/PhysRevB.32.3345

©1985 American Physical Society

Authors & Affiliations

N. Kumar and A. M. Jayannavar

  • Department of Physics, Indian Institute of Science, Bangalore 560012, India

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Issue

Vol. 32, Iss. 5 — 1 September 1985

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