04-287 Alex Elgart, Gian Michele Graf, Jeffrey H Schenker

Equality of the bulk and edge Hall conductances in a mobility gap (123K, Latex, with svjour style file) Sep 15, 04

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. We consider the edge and bulk conductances for 2D quantum Hall systems in which the Fermi energy falls in a band where bulk states are localized. We show that the resulting quantities are equal, when appropriately defined. An appropriate definition of the edge conductance may be obtained through a suitable time averaging procedure or by including a contribution from states in the localized band. In a further result on the Harper Hamiltonian, we show that this contribution is essential. In an appendix we establish quantized plateaus for the conductance of systems which need not be translation ergodic.

Files: 04-287.src( 04-287.keywords , EdgeBulk.tex )