Nondiffusive quantum transport in a dynamically disordered medium

Jayannavar, A. M. ; Kumar, N. (1982) Nondiffusive quantum transport in a dynamically disordered medium Physical Review Letters, 48 (8). pp. 553-556. ISSN 0031-9007

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Official URL: http://link.aps.org/doi/10.1103/PhysRevLett.48.553

Related URL: http://dx.doi.org/10.1103/PhysRevLett.48.553

Abstract

For a dynamically disordered continuum it is found that the exact quantum mechanical mean square displacement x2(t)~t3, for t→∞. A Gaussian white-noise spectrum is assumed for the random potential. The result differs qualitatively from the diffusive behavior well known for the one-band lattice Hamiltonian, and is understandable in terms of the momentum cutoff inherent in the lattice, simulating a "momentum bath".

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