Topological quantization of ensemble averages

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dc.creatorProdan, Emil
dc.date2008-03-22
dc.date2008-10-04
dc.date.accessioned2026-07-07T12:33:35Z
dc.date.available2026-07-07T12:33:35Z
dc.descriptionWe define the current of a quantum observable and, under well defined conditions, we connect its ensemble average to the index of a Fredholm operator. The present work builds on a formalism developed by Kellendonk and Schulz-Baldes \cite{Kellendonk:2004p597} to study the quantization of edge currents for continuous magnetic Schroedinger operators. The generalization given here may be a useful tool to scientists looking for novel manifestations of the topological quantization. As a new application, we show that the differential conductance of atomic wires is given by the index of a certain operator. We also comment on how the formalism can be used to probe the existence of edge states.
dc.description16 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/0803.3274
dc.identifierhttp://arxiv.org/abs/0803.3274
dc.identifierJ. Phys. A: Math. Theor. 42, 065207 (2009)
dc.identifierdoi:10.1088/1751-8113/42/6/065207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217180
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.titleTopological quantization of ensemble averages
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