The Quantum Hall Effect of Interacting Electrons in a Periodic Potential

Details The Quantum Hall Effect of Interacting Electrons in a Periodic Potential The Quantum Hall Effect of Interacting Electrons in a Periodic Potential

1996-10-01

arxiv.org/abs/cond-mat/9610012v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

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

Scientific paper

10.1103/PhysRevB.56.R7100

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.

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