Conductance of fully equilibrated quantum wires

Details Conductance of fully equilibrated quantum wires Conductance of fully equilibrated quantum wires

2009-02-17

arxiv.org/abs/0902.2974v1

Phys. Rev. Lett. 102, 116402 (2009)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevLett.102.116402

We study the conductance of a quantum wire in the presence of weak electron-electron scattering. In a sufficiently long wire the scattering leads to full equilibration of the electron distribution function in the frame moving with the electric current. At non-zero temperature this equilibrium distribution differs from the one supplied by the leads. As a result the contact resistance increases, and the quantized conductance of the wire acquires a quadratic in temperature correction. The magnitude of the correction is found by analysis of the conservation laws of the system and does not depend on the details of the interaction mechanism responsible for equilibration.

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