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The Quantum Hall Effect of Interacting Electrons in a Periodic Potential

Daniela Pfannkuche·Allan H. MacDonald
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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 $\exp ( - L/ ξ)$ at large system size $L$. We present numerical results consistent with a scenario in which $ξ$ diverges at continuous phase transitions from fractional to integer quantum Hall states which occur with increasing external potential strength.

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Daniela Pfannkuche, Allan H. MacDonald. 1996-10-15. The Quantum Hall Effect of Interacting Electrons in a Periodic Potential. https://doi.org/10.1103/physrevb.56.r7100

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