A continuum model for dephasing in mesoscopic systems

A model of continuous dephasing for one-dimensional mesoscopic conductors is proposed. The model is based on Büttiker's fictitious-probe model which is extended by attaching an infinite number of probes uniformly to various points on the conductor. The associated scattering problem is then solved. When the continuum limit is taken, it becomes possible to describe the dephasing as taking place everywhere. The dephasing rate enters into the model as an adjustable parameter. The effect of dephasing on the conductance for a double-barrier system is also studied numerically.

A one-dimensional conductor in contact with N imaginary probes at various points. The scattering problem associated with this geometry has an exact solution which yields a simple model of dephasing. Figure optionsDownload as PowerPoint slideHighlights
► A simple one-dimensional model that incorporates dephasing.
► A virtual probe model where probes are distributed continuously.
► The scattering wavefunctions in the absence of probes have to be known.
► The scattering matrix in the presence of the probes is found.
► To find conductance, one needs to solve three linear equations.