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The Quantum Hall Effect of Interacting Electrons in a Periodic Potential | Daniela Pfannkuche
; Allan H. MacDonald ( Department of Physics
; Indiana University
; Bloomington
; USA
; | Date: |
1 Oct 1996 | Subject: | Mesoscopic Systems and Quantum Hall Effect | cond-mat.mes-hall | Affiliation: | a,b) and Allan H. MacDonald (a) ((a) Department of Physics, Indiana University, Bloomington, USA, (b) Max-Planck-Institut fuer Festkoerperforschung, Stuttgart, Germany | 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. | Source: | arXiv, cond-mat/9610012 | Services: | Forum | Review | PDF | Favorites |
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