133 citations · 795 across the 60 of their papers we have counts for
9 papers · 1 filter
Phase transitions in a complex network
Charles Radin, Lorenzo Sadun
We study a mean field model of a complex network, focusing on edge and triangle densities. Our first result is the derivation of a variational characterization of the entropy densi…
Transport and Dissipation in Quantum Pumps
J. E. Avron, A. Elgart, G. M. Graf +1
This paper is about adiabatic transport in quantum pumps. The notion of ``energy shift'', a self-adjoint operator dual to the Wigner time delay, plays a role in our approach: It de…
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…
Fast and Slow Blowup in the S^2 Sigma Model and (4+1)-Dimensional Yang-Mills Model
Jean Marie Linhart, Lorenzo A. Sadun
We study singularity formation in spherically symmetric solutions of the charge-one and charge-two sector of the (2+1)-dimensional S^2 sigma-model and the (4+1)-dimensional Yang-Mi…
Optimal Quantum Pumps
J. E. Avron, A. Elgart, G. M. Graf +1
We study adiabatic quantum pumps on time scales that are short relative to the cycle of the pump. In this regime the pump is characterized by the matrix of energy shift which we in…
Fredholm Indices and the Phase Diagram of Quantum Hall Systems
Joseph E. Avron, Lorenzo Sadun
The quantized Hall conductance in a plateau is related to the index of a Fredholm operator. In this paper we describe the generic ``phase diagram'' of Fredholm indices associated w…