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Scaling Approach to the Phase Diagram of Quantum Hall Systems

2003/01/31 by M. O. Goerbig, C. Morais Smith
Physics and Astronomy · #cond-mat.mes-hall

paper · pdf · doi:10.1209/epl/i2003-00585-0

published as Europhys. Lett. 63, 736 (2003) · 4 pages, 3 figures; to be published in Europhys. Lett.; new version contains more detailed description of finite-temperature effects

arxiv created 2003/06/30 · arxiv updated 2009/11/30

Abstract

We present a simple classification of the different liquid and solid phases of quantum Hall systems in the limit where the Coulomb interaction between the electrons is significant, i.e. away from integral filling factors. This classification, and a criterion for the validity of the mean-field approximation in the charge-density-wave phase, is based on scaling arguments concerning the effective interaction potential of electrons restricted to an arbitrary Landau level. Finite-temperature effects are investigated within the same formalism, and a good agreement with recent experiments is obtained.

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