Session K44: Transport in Disordered Electronic Systems
2:30 PM–5:30 PM, Tuesday, March 14, 2006
Baltimore Convention Center Room: 347
Sponsoring Unit:
DCMP
Chair: A. Punnose, University of Wisconsin
Abstract ID: BAPS.2006.MAR.K44.12
Abstract: K44.00012 : New Glassy Phases of Electrons in Disordered Potentials
4:42 PM–4:54 PM
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Abstract 
Authors:
Roger Haydock
(University of Oregon)
Nigel Goldenfeld
(University of Illinois at Urbana-Champaign)
Critical disorders are found analytically for the Anderson model of independent electrons in two and three-dimensional random potentials. At large disorders the states are exponentially localized, then with decreasing disorder the model goes through a sequence of less strongly localized phases ending with power-law localization just above the transition to extended states. These results follow from an analytic transformation of the Anderson model into augmented space where disorder is removed from matrix-elements by constructing a basis of extended states correlated with the potential. For different disorders, the states are dominated asymptotically by different sectors of augmented space, and these sectors are identified by path-counting.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2006.MAR.K44.12