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Conductance of Tomonaga-Luttinger liquid wires and junctions with resistances

Soori, Abhiram and Sen, Diptiman (2011) Conductance of Tomonaga-Luttinger liquid wires and junctions with resistances. In: EPL, 93 (5).

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Official URL: http://iopscience.iop.org/0295-5075/93/5/57007/

Abstract

We study the effect that resistive regions have on the conductance of a quantum wire with interacting electrons which is connected to Fermi liquid leads. Using the bosonization formalism and a Rayleigh dissipation function to model the power dissipation, we use both scattering theory and Green's function techniques to derive the DC conductance. The resistive regions are generally found to lead to incoherent transport. For a single wire, we find that the resistance adds in series to the contact resistance of h/e(2) for spinless electrons, and the total resistance is independent of the Luttinger parameter K-W of the wire. We numerically solve the bosonic equations to illustrate what happens when a charge density pulse is incident on the wire; the results depend on the parameters of the resistive and interacting regions in interesting ways. For a junction of Tomonaga-Luttinger liquid wires, we use a dissipationless current splitting matrix to model the junction. For a junction of three wires connected to Fermi liquid leads, there are two families of such matrices; we find that the conductance matrix generally depends on K-W for one family but is independent of K-W for the other family, regardless of the resistances present in the system. Copyright (c) EPLA, 2011

Item Type: Journal Article
Additional Information: Copyright of this article belongs to EPL Associaion, European Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 31 Mar 2011 07:04
Last Modified: 31 Mar 2011 07:04
URI: http://eprints.iisc.ernet.in/id/eprint/36361

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