The Quantum Hall Effect of Interacting Electrons in a Periodic Potential

Abstract

We consider the influence of an external periodic potential on the fractional quantum Hall effect of two-dimensional interacting electron systems. For many electrons on a torus, we find that the splitting of incompressible ground state degeneracies by a weak external potential diminishes as $\exp (-L/\xi )$ at large system size $L$. We present numerical results consistent with a scenario in which $\xi$ diverges at continuous phase transitions from fractional to integer quantum Hall states which occur with increasing external potential strength.

4 pages, REVTeX, 3 epsf-embedded color postscript figures, submitted to PRB (Rapid Comm.), added reference in revised version

References in corpus (3)

• Continuous Quantum Phase Transitions
• Two interacting particles in the Harper model
• Lattice Electrons on a Cylinder Surface in the Presence of Rational Magnetic Flux and Disorder

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