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Phys. Rev. Lett. 98, 196401 (2007) [4 pages]

Statistics of Deep Energy States in Coulomb Glasses

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A. Glatz1, V. M. Vinokur1, and Y. M. Galperin2,1
1Materials Science Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
2Department of Physics & Centre of Advanced Materials and Nanotechnology, University of Oslo, P.O. Box 1048 Blindern, 0316 Oslo, Norway and A. F. Ioffe Physico-Technical Institute of Russian Academy of Sciences, 194021 St. Petersburg, Russia

Received 10 January 2007; published 7 May 2007

We study the statistics of local energy minima in the configuration space and the energy relaxation due to activated hopping in a system of interacting electrons in a random environment. The distribution of the local minima is exponential, which is in agreement with extreme value statistics considerations. The relaxation of the system energy shows logarithmic time dependence reflecting the ultrametric structure of the system.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.196401
DOI:
10.1103/PhysRevLett.98.196401
PACS:
71.55.Jv, 71.23.Cq, 72.70.+m