A knitting algorithm for calculating Green functions in quantum systems

Abstract

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.

7 pages, 5 figures, version for PRB

References in corpus (4)

• Conductance calculations for quantum wires and interfaces: mode matching and Green functions
• Finite bias visibility of the electronic Mach-Zehnder interferometer
• Electronic transport in normal-conductor/graphene/normal-conductor junctions and conditions for insulating behavior at a finite charge-carrier density
• Ballistic quantum transport at high energies and high magnetic fields