Dephasing via stochastic absorption: A case study in Aharonov-Bohm oscillations

Abstract

The Aharonov-Bohm ring has been the mainstay of mesoscopic physics research since its inception. In this paper we have dwelt on the problem of dephasing of AB oscillations using a phenomenological model based on stochastic absorption. To calculate the conductance in the presence of inelastic scattering we have used the method due to Brouwer and Beenakker. We have shown that conductance is symmetric under flux reversal and visibility of AB oscillations decay to zero as a function of the incoherence parameter thus signalling dephasing in the system. Some comments are made on the relative merits of stochastic absorption with respect to optical potential model, which have been used to mimic dephasing.

4 pages, 4 figures Minor corrections made and journal reference added

References in corpus (4)

• Voltage-probe and imaginary potential models for dephasing in a chaotic quantum dot
• Comparison between the two models of dephasing in mesoscopic systems
• Current magnification effect in mesoscopic systems at equilibrium
• Modelling of Stochastic Absorption in a Random Medium

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• A comparative study of two phenomenological models of dephasing in series and parallel resistors
• Decohering d-dimensional quantum resistance
• Decoherence in electron transport: back-scattering, effect on interference and rectification