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The Anderson-Mott Transition as a Random-Field Problem

T. R. Kirkpatrick·D. Belitz
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Abstract

The Anderson-Mott transition of disordered interacting electrons is shown to share many physical and technical features with classical random-field systems. A renormalization group study of an order parameter field theory for the Anderson-Mott transition shows that random-field terms appear at one-loop order. They lead to an upper critical dimension $d_{c}^{+}=6$ for this model. For $d>6$ the critical behavior is mean-field like. For $d<6$ an $ε$-expansion yields exponents that coincide with those for the random-field Ising model. Implications of these results are discussed.

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T. R. Kirkpatrick, D. Belitz. 1994-08-03. The Anderson-Mott Transition as a Random-Field Problem. https://doi.org/10.1103/physrevlett.74.1178

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