A knitting algorithm for calculating Green functions in quantum systems

Details A knitting algorithm for calculating Green functions in quantum systems A knitting algorithm for calculating Green functions in quantum systems

2007-11-21

arxiv.org/abs/0711.3413v2

Phys. Rev. B 77, 115119 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

7 pages, 5 figures, version for PRB

Scientific paper

10.1103/PhysRevB.77.115119

We 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.

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