89 citations · 133 across the 4 of their papers we have counts for
6 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…
Spectral Theory of Time Dispersive and Dissipative Systems
Alex Figotin, Jeffrey H. Schenker
We study linear time dispersive and dissipative systems. Very often such systems are not conservative and the standard spectral theory can not be applied. We develop a mathematical…
Hölder equicontinuity of the integrated density of states at weak disorder
Jeffrey H Schenker
Hölder continuity, , with a constant independent of the disorder strength is proved for the integrated density of states associated…
Fractional Moment Methods for Anderson Localization in the Continuum
Michael Aizenman, Alexander Elgart, Sergey Naboko +2
The fractional moment method, which was initially developed in the discrete context for the analysis of the localization properties of lattice random operators, is extended to appl…
WITHDRAWN: Adiabatic charge transport and the Kubo formula for 2D Hall conductance
Michael Aizenman, Alexander Elgart, Jeffrey H. Schenker
This paper has been withdrawn by the authors, due to an error in the proof of Lemma 3.1.
A strong operator topology adiabatic theorem
Alexander Elgart, Jeffrey H. Schenker
We prove an adiabatic theorem for the evolution of spectral data under a weak additive perturbation in the context of a system without an intrinsic time scale. For continuous funct…