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Correlated voltage probe model of relaxation in two Coulomb-coupled edge channels
Institution:1. Dipartimento di Matematica e Fisica, Università Roma Tre, Via della Vasca Navale 84, 00146 Roma, Italy;2. Nano-Bio Spectroscopy Group, Departamento de Fìsica de Materiales, Universidad del Paìs Vasco UPV/EHU, E-20018 San Sebastiàn, Spain;1. National Polytechnic Institute, ESFM, Mexico, D.F. 07738, Mexico;2. National Polytechnic Institute, UPIITA, Mexico, D.F. 07320, Mexico;1. Yerevan State University, Faculty of Physics, Department of Solid State Physics, 1 Al. Manoogian, Yerevan 0025, Armenia;2. State Engineering University of Armenia, 105, V. Teryan, Yerevan 0009, Armenia
Abstract:A phenomenological correlated voltage probe model is introduced to mimic the effects of inelastic scattering between particles in different conduction channels of a phase coherent conductor. As an illustration, the non-equilibrium distribution functions of two noisy co-propagating chiral edge channels of the integer quantum Hall effect are calculated and compared with recent experiments. The method is further applied to calculate the linear response current noise through an interacting Mach–Zehnder interferometer.
Keywords:Mesoscopic electron transport  Quantum Hall edge-states  Coulomb induced energy relaxation  Voltage probe model  Current noise
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