Statistics of quantum transport in chaotic cavities with broken time-reversal symmetry

dc.creatorNovaes, Marcel
dc.date2008-05-29
dc.date2008-08-04
dc.date.accessioned2026-07-07T09:54:10Z
dc.date.available2026-07-07T09:54:10Z
dc.descriptionThe statistical properties of quantum transport through a chaotic cavity are encoded in the traces $\T={\rm Tr}(tt^†)^n$, where $t$ is the transmission matrix. Within the Random Matrix Theory approach, these traces are random variables whose probability distribution depends on the symmetries of the system. For the case of broken time-reversal symmetry, we present explicit closed expressions for the average value and for the variance of $\T$ for all $n$. In particular, this provides the charge cumulants $\Q$ of all orders. We also compute the moments $<g^n>$ of the conductance $g=\mathcal{T}_1$. All the results obtained are exact, {\it i.e.} they are valid for arbitrary numbers of open channels.
dc.description5 pages, 4 figures. v2-minor changes
dc.identifierhttps://arxiv.org/abs/0805.4590
dc.identifierhttp://arxiv.org/abs/0805.4590
dc.identifierPhys. Rev. B 78, 035337 (2008)
dc.identifierdoi:10.1103/PhysRevB.78.035337
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166217
dc.subjectMesoscale and Nanoscale Physics
dc.subjectChaotic Dynamics
dc.titleStatistics of quantum transport in chaotic cavities with broken time-reversal symmetry
dc.typetext

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