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Mesoscopic Charge Relaxation

Simon E. Nigg·Rosa Lopez·Markus Buttiker
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Abstract

We consider charge relaxation in the mesoscopic equivalent of an RC circuit. For a single-channel, spin-polarized contact, self-consistent scattering theory predicts a universal charge relaxation resistance equal to half a resistance quantum independent of the transmission properties of the contact. This prediction is in good agreement with recent experimental results. We use a tunneling Hamiltonian formalism and show in Hartree-Fock approximation, that at zero temperature the charge relaxation resistance is universal even in the presence of Coulomb blockade effects. We explore departures from universality as a function of temperature and magnetic field.

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Simon E. Nigg, Rosa Lopez, Markus Buttiker. 2006-06-23. Mesoscopic Charge Relaxation. https://doi.org/10.1103/physrevlett.97.206804

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