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arXiv 1306.6218cond-mat.mes-hall
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具有Rashba自旋轨道耦合的弱相互作用量子线的温度电导

Finite-temperature conductance of weakly interacting quantum wires with Rashba spin-orbit coupling

Thomas L. Schmidt

摘要:

我们计算了在磁场和Rashba自旋轨道耦合作用下,干净的、弱相互作用的一维量子线的有限温度电导。对于塞曼能隙中心附近的化学势($μ= 0$),两粒子散射导致有限温度下量子化电导的主要偏离。另一方面,对于$|μ| > 0$,三粒子散射过程变得更加相关。这些偏差是强非线性单粒子光谱的结果,因此无法使用Luttinger液体理论。我们讨论了这些预测的可观测性在当前的实验中的InSb纳米线和“螺旋液体”,在低温下自发订购的核自旋产生一个有效的Rashba耦合。

英文摘要:

We calculate the finite-temperature conductance of clean, weakly interacting one-dimensional quantum wires subject to Rashba spin-orbit coupling and a magnetic field. For chemical potentials near the center of the Zeeman gap ($μ= 0$), two-particle scattering causes the leading deviation from the quantized conductance at finite temperatures. On the other hand, for $|μ| > 0$, three-particle scattering processes become more relevant. These deviations are a consequence of the strongly nonlinear single-particle spectrum, and are thus not accessible using Luttinger liquid theory. We discuss the observability of these predictions in current experiments on InSb nanowires and in "spiral liquids", where a spontaneous ordering of the nuclear spins at low temperatures produces an effective Rashba coupling.

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