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arXiv 1907.01337cond-mat.mes-hallquant-ph
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Weyl半金属量子输运的场论方法

Field theory approach to the quantum transport in Weyl semimetals

Michele Burrello, Enore Guadagnini, Luca Lepori, Mihail Mintchev

摘要:

我们分析的表面状态和费米弧的Weyl半金属的结构作为边界条件的函数参数化的哈密顿自伴扩展的极小模型与两个Weyl点。这些边界条件决定了表面系统的赝自旋极化和费米弧的形状。我们解析地推导出表面电流密度分布的期望值,我们评估了作为温度和化学势的函数的异常霍尔电导率,我们讨论了表面电流的关联函数及其对热噪声的贡献。基于晶格变体的模型,我们数值研究了在零温度下的表面态,我们表明,它们的偏振,因此,它们的传输特性,可以通过适当的塞曼条款本地化的表面上变化。我们还提供了一个估计的基础上的Landauer-Büttiker方法的系统的体电导。最后,我们分析了表面异常的霍尔热导率,我们表明,边界属性导致预期的普遍霍尔热导率的修正,从而违反了Wiedemann-Franz定律。

英文摘要:

We analyze the structure of the surface states and Fermi arcs of Weyl semimetals as a function of the boundary conditions parameterizing the Hamiltonian self-adjoint extensions of a minimal model with two Weyl points. These boundary conditions determine both the pseudospin polarization of the system on the surface and the shape of the associated Fermi arcs. We analytically derive the expectation values of the density profile of the surface current, we evaluate the anomalous Hall conductivity as a function of temperature and chemical potential and we discuss the surface current correlation functions and their contribution to the thermal noise. Based on a lattice variant of the model, we numerically study the surface states at zero temperature and we show that their polarization and, consequently, their transport properties, can be varied by suitable Zeeman terms localized on the surface. We also provide an estimate of the bulk conductance of the system based on the Landauer-Büttiker approach. Finally, we analyze the surface anomalous thermal Hall conductivity and we show that the boundary properties lead to a correction of the expected universal thermal Hall conductivity, thus violating the Wiedemann-Franz law.

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