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arXiv 0902.2974cond-mat.mes-hall
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完全平衡量子线的电导

Conductance of fully equilibrated quantum wires

J. Rech, T. Micklitz, K. A. Matveev

摘要:

研究了弱电子-电子散射下量子线的电导。在足够长的导线中,散射导致随电流移动的坐标系中的电子分布函数完全平衡。在非零温度下,这种平衡分布不同于引线提供的平衡分布。结果,接触电阻增加,并且导线的量化电导在温度校正中获得二次曲线。修正的大小是通过分析系统的守恒定律来确定的,并且不依赖于负责平衡的相互作用机制的细节。

英文摘要:

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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