Physics – Condensed Matter – Statistical Mechanics
Scientific paper
1995-07-03
Phys. Rev. B vol. 52, pp. 13922-13935 (1995)
Physics
Condensed Matter
Statistical Mechanics
25pp, REVTeX, 5 ps figs, final version as published
Scientific paper
10.1103/PhysRevB.52.13922
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.
Belitz Dietrich
Kirkpatrick Theodore R.
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