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Controlling conductance statistics of quantum wires by driving ac fields

AuthorsGopar, Víctor A.; Molina, Rafael A.
Issue Date2010
PublisherAmerican Physical Society
CitationPhysical Review B - Condensed Matter and Materials Physics 81 (2010)
AbstractWe calculate the entire distribution of the conductance P (G) of a one-dimensional disordered system-quantum wire-subject to a time-dependent field. Our calculations are based on Floquet theory and a scaling approach to localization. Effects of the applied ac field on the conductance statistics can be strong and in some cases dramatic, as in the high-frequency regime where the conductance distribution shows a sharp cutoff. In this frequency regime, the conductance is written as a product of a frequency-dependent term and a field-independent term, the latter containing the information on the disorder in the wire. We thus use the solution of the Mel'nikov equation for time-independent transport to calculate P (G) at any degree of disorder. At lower frequencies, it is found that the conductance distribution and the correlations of the transmission Floquet modes are described by a solution of the Dorokhov-Mello-Pereyra-Kumar equation with an effective number of channels. In the regime of strong localization, induced by the disorder or the ac field, P (G) is a log-normal distribution. Our theoretical results are verified numerically using a single-band Anderson Hamiltonian. © 2010 The American Physical Society.
Identifiersdoi: 10.1103/PhysRevB.81.195415
issn: 1098-0121
Appears in Collections:(CFMAC-IEM) Artículos
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