Scaling Approach to the Phase Diagram of Quantum Hall Systems

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.

arXiv comment4 pages, 3 figures; to be published in Europhys. Lett.; new version contains more detailed description of finite-temperature effects

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Cited by in corpus (8)

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• Competition between quantum-liquid and electron-solid phases in intermediate Landau levels
• Microscopic Theory of the Reentrant IQHE in the First and Second Excited LLs
• Influence of Landau-level mixing on Wigner crystallization in graphene
• Electron-solid and electron-liquid phases in graphene
• Real Space Effective Interaction and Phase Transition in the Lowest Landau Level
• Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
• Quantum Phases in Partially Filled Landau Levels