89 citations · 90 across the 3 of their papers we have counts for
4 papers
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…
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…
Vanishing index for supersymmetric 2-matrix model with odd dimensional gauge group
G. M. Graf, D. Hasler, J. Hoppe
We define an operator which for odd-dimensional compact gauge group furnishes unitary equivalence of the bosonic and fermionic sector in the supersymmetric quantum-mechanical matri…
Asymptotic Ground State for 10 Dimensional Reduced Supersymmetric SU(2) Yang Mills Theory
G. M. Graf, J. Hoppe
We calculate the power law decay, and asymptotic form of a (unique) SO(9) and SU(2) invariant wave function satisfying, to leading and sub-leading order, for all 1…