89 citations · 90 across the 3 of their papers we have counts for
Showing math-phShow all
2 papers · 1 filter
math-ph2004★ 89 cited
Equality of the bulk and edge Hall conductances in a mobility gap
A. Elgart, G. M. Graf, J. H. Schenker
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 quantit…
math-ph2002
Adiabatic charge pumping in open quantum systems
J. E. Avron, A. Elgart, G. M. Graf +2
We introduce a mathematical setup for charge transport in quantum pump connected to a number of external leads. It is proved that under rather general assumption on the Hamiltonian…