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arXiv 1402.7097cond-mat.mes-hall
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HgTe量子阱中的干涉感生磁电阻

Interference-induced magnetoresistance in HgTe quantum wells

I. V. Gornyi, V. Yu. Kachorovskii, P. M. Ostrovsky

摘要:

利用Bernevig-Hughes-Zhang模型研究了碲化汞量子阱电导率的量子干涉修正。这个模型由两个独立的大质量狄拉克费米子组成。我们描述的正交和辛类之间的交叉与载流子浓度的增加,并计算,分别弱本地化和反本地化校正的情况下,块混合,并假设白噪声无序内的每个块。我们计算了宽间隔磁场中的干涉感生磁电阻,特别是在扩散区之外。值得注意的是,每个狄拉克锥分别给出了一个线性贡献的低场磁阻,这原来是不对称的磁场$B$。我们提出了一个解释这个结果的Berry相形式主义。通过将$B$替换为$-B$,两个块的贡献彼此相关,使得总磁阻在极限$B\to 0$内是对称的和抛物线的。然而,在一定范围内的参数场的依赖原来是强烈的非单调。我们还表明,块混合引起额外的奇异扩散模式,不显示在没有混合。

英文摘要:

We study the quantum interference correction to the conductivity in HgTe quantum wells using the Bernevig-Hughes-Zhang model. This model consists of two independent species (blocks) of massive Dirac fermions. We describe the crossover between the orthogonal and symplectic classes with the increasing the carrier concentration and calculate, respectively, weak localization and antilocalization corrections in the absence of the block mixing and assuming the white-noise disorder within each block. We have calculated the interference-induced magnetoresistance in a wide interval of magnetic fields, in particular, beyond the diffusion regime. Remarkably, each Dirac cone taken separately gives a linear contribution to the low-field magnetoresistance, which turns out to be asymmetric in magnetic field $B$. We present an interpretation of this result in terms of the Berry phase formalism. The contributions of the two blocks are related to each other by replacing $B$ to $-B$, so that the total magnetoresistance is symmetric and parabolic in the limit $B\to 0$. However, in some range of parameters field dependence turns out to be strongly non-monotonous. We also demonstrate that block mixing gives rise to additional singular diffusive modes which do not show up in the absence of mixing.

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