Transport properties of partially equilibrated quantum wires

Details Transport properties of partially equilibrated quantum wires Transport properties of partially equilibrated quantum wires

2009-10-18

arxiv.org/abs/0910.3389v1

Phys. Rev. B 81, 115313 (2010)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

20 pages, 6 figures

Scientific paper

10.1103/PhysRevB.81.115313

We study the effect of thermal equilibration on the transport properties of a weakly interacting one-dimensional electron system. Although equilibration is severely suppressed due to phase-space restrictions and conservation laws, it can lead to intriguing signatures in partially equilibrated quantum wires. We consider an ideal homogeneous quantum wire. We find a finite temperature correction to the quantized conductance, which for a short wire scales with its length, but saturates to a length-independent value once the wire becomes exponentially long. We also discuss thermoelectric properties of long quantum wires. We show that the uniform quantum wire is a perfect thermoelectric refrigerator, approaching Carnot efficiency with increasing wire length.

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