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arXiv 1202.4632cond-mat.mes-hall
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长量子线在电导平台跃迁时的非线性电导:电压降在哪里?

Nonlinear conductance of long quantum wires at a conductance plateau transition: Where does the voltage drop?

T. Micklitz, A. Levchenko, A. Rosch

摘要:

我们计算了无自旋费米子的线性和非线性电导清洁,长量子线的短程相互作用导致局部平衡。在接近电导从零跳变到一个电导量子的量子相变时,电导获得了由温度、偏置电压和栅极电压的比值控制的普适形式。渐近分析结果相比,玻尔兹曼方程的解决方案,其中包括三粒子散射的影响。令人惊讶的是,我们发现,对于长导线,由于热电效应,电压主要在靠近量子线的一端下降。

英文摘要:

We calculate the linear and nonlinear conductance of spinless fermions in clean, long quantum wires where short-ranged interactions lead locally to equilibration. Close to the quantum phase transition where the conductance jumps from zero to one conductance quantum, the conductance obtains an universal form governed by the ratios of temperature, bias voltage and gate voltage. Asymptotic analytic results are compared to solutions of a Boltzmann equation which includes the effects of three-particle scattering. Surprisingly, we find that for long wires the voltage predominantly drops close to one end of the quantum wire due to a thermoelectric effect.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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