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Non-Fermi-liquid theory for disordered metals near two dimensions

Baranov, MA and Burmistrov, IS and Pruisken, AMM (2002) Non-Fermi-liquid theory for disordered metals near two dimensions. In: Physical Review B: Condensed Matter and Materials Physics, 66 (7).

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Official URL: http://prb.aps.org/abstract/PRB/v66/i7/e075317


We consider the Finkelstein action describing a system of spin-polarized or spinless electrons in 2+2epsilon dimensions, in the presence of disorder as well as the Coulomb interactions. We extend the renormalization-group analysis of our previous work and evaluate the metal-insulator transition of the electron gas to second order in an epsilon expansion. We obtain the complete scaling behavior of physical observables like the conductivity and the specific heat with varying frequency, temperature, and/or electron density. We extend the results for the interacting electron gas in 2+2epsilon dimensions to include the quantum critical behavior of the plateau transitions in the quantum Hall regime. Although these transitions have a very different microscopic origin and are controlled by a topological term in the action (theta term), the quantum critical behavior is in many ways the same in both cases. We show that the two independent critical exponents of the quantum Hall plateau transitions, previously denoted as nu and p, control not only the scaling behavior of the conductances sigma(xx) and sigma(xy) at finite temperatures T, but also the non-Fermi-liquid behavior of the specific heat (c(v)proportional toT(p)). To extract the numerical values of nu and p it is necessary to extend the experiments on transport to include the specific heat of the electron gas.

Item Type: Journal Article
Publication: Physical Review B: Condensed Matter and Materials Physics
Publisher: The American Physical Society
Additional Information: Copyright of this article belongs to The American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Physics
Date Deposited: 21 Jul 2011 06:26
Last Modified: 30 Jan 2019 08:57
URI: http://eprints.iisc.ac.in/id/eprint/39306

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