Europhys. Lett.
Volume 63, Number 5, September 2003
Page(s) 736 - 742
Section Condensed matter: electronic structure, electrical, magnetic, and optical properties
Published online 01 November 2003
DOI: 10.1209/epl/i2003-00585-0
Europhys. Lett., 63 (5) , pp. 736-742 (2003)

Scaling approach to the phase diagram of quantum Hall systems

M. O. Goerbig1, 2 and C. Morais Smith1

1  Département de Physique, Université de Fribourg Pérolles, CH-1700 Fribourg, Switzerland
2  Laboratoire de Physique des Solides, Université Paris-Sud - F-91405 Orsay, France

(Received 30 April 2003; accepted 25 June 2003)

We present a simple classification of the different liquid and solid phases of quantum Hall systems in the regime where the Coulomb interaction between 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.

73.43.-f - Quantum Hall effects.
73.43.Nq - Quantum phase transitions.
73.20.Qt - Electron solids.

© EDP Sciences 2003