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arXiv 1303.3486cond-mat.mes-hall
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无序单沟道量子环的Aharonov-Bohm电导

Aharonov-Bohm conductance of a disordered single-channel quantum ring

P. M. Shmakov, A. P. Dmitriev, V. Yu. Kachorovskii

摘要:

研究了弱无序对单沟道量子环隧穿电导的影响。我们假设温度高于环中的能级间距,小于费米能。在没有无序的情况下,电导显示出作为磁通量的函数的急剧下降(反共振)。我们讨论了不同类型的无序,发现短程无序加宽了反共振,而长程无序导致了额外的共振凹陷。我们证明了共振凹陷具有基本上非洛伦兹形状。结果被推广到占的自旋轨道相互作用,导致分裂的无序加宽的共振凹陷,并因此共存的两种类型的振荡(都具有尖锐的凹陷的形式):Aharonov-Bohm振荡与磁通量和Aharonov-Casher振荡与自旋轨道耦合的强度。我们还讨论了塞曼耦合的影响。

英文摘要:

We study the effect of weak disorder on tunneling conductance of a single-channel quantum ring threaded by magnetic flux. We assume that temperature is higher than the level spacing in the ring and smaller than the Fermi energy. In the absence of disorder, the conductance shows sharp dips (antiresonances) as a function of magnetic flux. We discuss different types of disorder and find that the short-range disorder broadens antiresonances, while the long-range one leads to arising of additional resonant dips. We demonstrate that the resonant dips have essentially non-Lorentzian shape. The results are generalized to account for the spin-orbit interaction which leads to splitting of the disorder-broadened resonant dips, and consequently to coexisting of two types of oscillations (both having the form of sharp dips): Aharonov-Bohm oscillations with magnetic flux and Aharonov-Casher oscillations with the strength of the spin-orbit coupling. We also discuss the effect of the Zeeman coupling.

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