Interaction-induced backscattering in short quantum wires [electronic resource].
- Washington, D.C. : United States. Dept. of Energy. Office of Basic Energy Sciences, 2014. and Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy
- Physical Description:
- Article numbers 165,405 : digital, PDF file
- Additional Creators:
- Argonne National Laboratory, United States. Department of Energy. Office of Basic Energy Sciences, National Science Foundation (U.S.), and United States. Department of Energy. Office of Scientific and Technical Information
- Restrictions on Access:
- Free-to-read Unrestricted online access
- We study interaction-induced backscattering in clean quantum wires with adiabatic contacts exposed to a voltage bias. Particle backscattering relaxes such systems to a fully equilibrated steady state only on length scales exponentially large in the ratio of bandwidth of excitations and temperature. Here in this paper we focus on shorter wires in which full equilibration is not accomplished. Signatures of relaxation then are due to backscattering of hole excitations close to the band bottom which perform a diffusive motion in momentum space while scattering from excitations at the Fermi level. This is reminiscent to the first passage problem of a Brownian particle and, regardless of the interaction strength, can be described by an inhomogeneous Fokker-Planck equation. From general solutions of the latter we calculate the hole backscattering rate for different wire lengths and discuss the resulting length dependence of interaction-induced correction to the conductance of a clean single channel quantum wire.
- Published through SciTech Connect., 10/06/2014., "106140", Physical Review. B, Condensed Matter and Materials Physics 90 16 ISSN 1098-0121; PRBMDO AM, M. -T. Rieder; T. Micklitz; A. Levchenko; K. A. Matveev., and National Counsel of Technological and Scientific Development (CNPq)
- Funding Information:
- AC02-06CH11357 and DMR-1401908
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