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Anderson-Mott transition as a quantum glass problem | | D. Belitz
; T.R. Kirkpatrick
; | | Date: |
4 Jul 1995 | | Journal: | Phys. Rev. B vol. 52, pp. 13922-13935 (1995) | | Subject: | Statistical Mechanics; Strongly Correlated Electrons | cond-mat.stat-mech cond-mat.str-el | | Abstract: | We combine a recent mapping of the Anderson-Mott metal-insulator transition on a random-field problem with scaling concepts for random-field magnets to argue that disordered electrons near an Anderson-Mott transition show glass-like behavior. We first discuss attempts to interpret experimental results in terms of a conventional scaling picture, and argue that some of the difficulties encountered point towards a glassy nature of the electrons. We then develop a general scaling theory for a quantum glass, and discuss critical properties of both thermodynamic and transport variables in terms of it. Our most important conclusions are that for a correct interpretation of experiments one must distinguish between self-averaging and non-self averaging observables, and that dynamical or temperature scaling is not of power-law type but rather activated, i.e. given by a generalized Vogel-Fulcher law. Recent mutually contradicting experimental results on Si:P are discussed in the light of this, and new experiments are proposed to test the predictions of our quantum glass scaling theory. | | Source: | arXiv, cond-mat/9507003 | | Services: | Forum | Review | PDF | Favorites | |
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