Disorder correction to the minimal conductance of a nodal-point semimetal

Zheng Shi; Bjoern Sbierski; Piet W. Brouwer

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Disorder correction to the minimal conductance of a nodal-point semimetal

机译：紊乱校正对节点半牙的最小电导

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We consider the disorder-induced correction to the minimal conductance of an anisotropic two-dimensional Dirac node or a three-dimensional Weyl node. An analytical expression is derived for the correction δG to the conductance of a finite-size sample by an arbitrary potential, without taking the disorder average, in second-order perturbation theory. Considering a generic model of a short-range disorder potential, this result is used to compute the probability distribution P(δG), which is compared to the numerically exact distribution obtained using the scattering matrix approach. We show that P(δG) is Gaussian when the sample has a large width-to-length ratio and study how the expectation value, the standard deviation, and the probability of finding δG ＜ 0 depend on the anisotropy of the dispersion.

机译：我们考虑对各向异性二维DIRAC节点或三维Weyl节点的最小电导的紊乱引起的校正。在二阶扰动理论中，通过任意潜力来导出用于通过任意潜力的有限尺寸样品的校正ΔG的分析表达。考虑到短程障碍潜力的通用模型，该结果用于计算概率分布P（ΔG），该P（ΔG）与使用散射矩阵方法获得的数值精确分布进行比较。我们表明，当样品具有大的宽度与长度比，研究期望值，标准偏差和查找ΔG<0的概率时，P（ΔG）是高斯的，所以Δg<0的概率取决于分散的各向异性。

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《Physical review》 |2020年第2期|024204.1-024204.10|共10页
作者
Zheng Shi; Bjoern Sbierski; Piet W. Brouwer;
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Dahlem Center for Complex Quantum Systems and Physics Department Freie Universitaet Berlin Arnimallee 14 14195 Berlin Germany;

Dahlem Center for Complex Quantum Systems and Physics Department Freie Universitaet Berlin Arnimallee 14 14195 Berlin Germany Department of Physics University of California Berkeley California 94720 USA;

Dahlem Center for Complex Quantum Systems and Physics Department Freie Universitaet Berlin Arnimallee 14 14195 Berlin Germany;

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机译：紊乱校正对节点半牙的最小电导

Disorder correction to the minimal conductance of a nodal-point semimetal

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