Finite Temperature Behavior of the $ν=1$ Quantum Hall Effect in Bilayer Electron Systems

Details Finite Temperature Behavior of the $ν=1$ Quantum Hall Effect in Bilayer Electron Systems Finite Temperature Behavior of the $ν=1$ Quantum Hall Effect in Bilayer Electron Systems

1999-06-24

arxiv.org/abs/cond-mat/9906374v2

Phys. Rev. B 61, 4762 (2000)

Physics

Condensed Matter

Corrected typos, and changed content, 5 pages and 2 figures, accepted in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.61.4762

An effective field theoretic description of $\nu=1$ bilayer electron systems stabilized by Coulomb repulsion in a single wide quantum well is examined using renormalization group techniques. The system is found to undergo a crossover from a low temperature strongly correlated quantum Hall state to a high temperature compressible state. This picture is used to account for the recent experimental observation of an anomalous transition in bilayer electron systems (T. S. Lay, {\em et al.} Phys. Rev. B {\bf 50}, 17725 (1994)). An estimate for the crossover temperature is provided, and it is shown that its dependence on electron density is in reasonable agreement with i the experiment.

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