A knitting algorithm for calculating Green functions in quantum systems

dc.creatorKazymyrenko, Kyryl
dc.creatorWaintal, Xavier
dc.date2007-11-21
dc.date2008-02-19
dc.date.accessioned2026-07-07T09:26:46Z
dc.date.available2026-07-07T09:26:46Z
dc.descriptionWe propose a fast and versatile algorithm to calculate local and transport properties such as conductance, shot noise, local density of state or local currents in mesoscopic quantum systems. Within the non equilibrium Green function formalism, we generalize the recursive Green function technique to tackle multiterminal devices with arbitrary geometries. We apply our method to analyze two recent experiments: an electronic Mach-Zehnder interferometer in a 2D gas and a Hall bar made of graphene nanoribbons in quantum Hall regime. In the latter case, we find that the Landau edge state pinned to the Dirac point gets diluted upon increasing carrier density.
dc.description7 pages, 5 figures, version for PRB
dc.identifierhttps://arxiv.org/abs/0711.3413
dc.identifierhttp://arxiv.org/abs/0711.3413
dc.identifierPhys. Rev. B 77, 115119 (2008)
dc.identifierdoi:10.1103/PhysRevB.77.115119
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156867
dc.subjectMesoscale and Nanoscale Physics
dc.titleA knitting algorithm for calculating Green functions in quantum systems
dc.typetext

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