1 O ct 1 99 7 AC transport with reservoirs of finite width

نویسندگان

  • J. U. Nöckel
  • K. Richter
چکیده

The linear response conductance coefficients are calculated in the scattering approach at finite frequency, damping and magnetic field for a microstructure in which the reservoirs are modeled as quantum wire leads of infinite length but finite width. Independently of frequency, inelastic scattering causes sub-bands with large group velocity to contribute more strongly to the conduc-tance than channels of comparable transmission but slower propagation. At finite frequency and magnetic fields, additional correction terms appear, some of which are sensitive to the phase of the S matrix. The Landauer-Büttiker formula [1] for the low-temperature, linear-response DC conduc-tance coefficients of a small conductor requires only the knowledge of the quantum mechanical transmission coefficients, i.e. absolute values of S-matrix elements. The S-matrix in turn appears because one necessarily has to consider the system as being open, i.e. having a continuous spectrum. With discrete levels, no dissipative response is possible. One often uses a model in which the sample is connected to the outside world by straight quantum wires of infinte length [2]. Here, we want to study the linear conductance of such an open system under an AC perturbation. The limiting case of infinitely broad reservoirs and no damping has been considered previously, [3], yielding an admittance matrix for n = l

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AC transport with reservoirs of finite width

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تاریخ انتشار 1997