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arXiv 1801.02663cond-mat.mes-hallcond-mat.supr-con
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自旋对导电的影响较弱时的磁电阻

Magnetoresistance when Spin Effects on Conduction are Weak

Vincent Sacksteder

摘要:

本文考虑某些材料,包括拓扑绝缘体,自旋旋转对称性的破坏比时间反演对称性更强烈。当这些材料处于扩散状态时,即当它们具有足够强的无序以导致电子在穿过样品时散射多次时,电子和空穴成对移动,其具有零自旋并且对自旋物理不敏感。在这种无自旋的情况下工作,我们表明,傅立叶变换相对于外部磁场的磁导得到一条曲线,描述了由样品内的电子和空穴跟踪的环路的面积分布。我们目前的环路面积分布的朗道水平,弱(反)本地化,传导受利维飞行,和线性的现场电阻。这四个中,最后两个是新的结果。比较这些分布,我们认为,在一些拓扑绝缘体中看到的线性场电阻是由相同的扩散散射,导致弱反本地化。不同之处在于,线性场电阻材料保持了通常仅在二维线或环形几何结构的表面上看到的量子相干性水平。在附录中,我们包括一些关于线性温度电阻的推测性材料。

英文摘要:

This paper considers certain materials, including topological insulators, where spin rotation symmetry is broken much more strongly than time reversal symmetry. When these materials are in the diffusive regime, i.e. when they have disorder that is strong enough to cause an electron to scatter many times while crossing a sample, electrons and holes move in pairs that have zero spin and are insensitive to spin physics. Working within this spinless scenario, we show that Fourier transforming the magnetoconductance with respect to external magnetic field obtains a curve describing the area distribution of loops traced by electrons and holes within the sample. We present loop area distributions of Landau levels, weak (anti)localization, conduction governed by Levy flights, and linear-in-field resistance. Of these four the last two are new results. Comparing these distributions, we argue that the linear-in-field resistance seen in some topological insulators is caused by the same diffusive scattering that causes weak antilocalization. The difference is that linear-in-field resistance materials retain a level of quantum coherence that is usually seen only on the surface of 2-D wires or in ring geometries. In an appendix we include some speculative material about linear-in-temperature resistance.

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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