论文标题
在拓扑结节半法中,非绝热的手性电荷泵送
Non-adiabatic corrections to chiral charge pumping in topological nodal semimetals
论文作者
论文摘要
研究了代表几种代表Weyl和Dirac半法的$ K \ CDOT P $模型在Slater形式主义中的Landau-Zener样问题的多体版本,我们系统地在这些模型中系统地包括非绝热校正,以在这些模型中的量子量泵。在本文中,我们表明相对同型不变[Sun等,Phys。莱特牧师。 121,106402(2018)]和Euler类不变性[Bouhon等,Nat。物理。 16,1137(2020)]在非绝热校正中,非绝热校正对手性电荷泵的量子。这些校正可能会影响与手性异常有关的电导率通道。此外,我们表明,对于非晶状体系统,该贡献对所施加的磁场的方向(对于所谓的非符号淋巴结循环)敏感,这表明猜想的方向选择性手性手性手性除非 - 肌电系统在非肌电系统中的强度[Bzdušek等人强烈[Bzdušek等人(伦敦)538,538,2016年5(2016)。各向异性纵向磁磁性。提出的方法可以轻松地应用于其他$ K \ CDOT P $或紧密结合模型。
Studying many-body versions of Landau-Zener-like problems of non-interacting electrons in the Slater formalism for several $k \cdot p$ models representing Weyl and Dirac semimetals, we systematically include non-adiabatic corrections to a quantum limit of chiral charge pumping in these models. In this paper, we show that relative homotopy invariant [Sun et al., Phys. Rev. Lett. 121, 106402 (2018)] and Euler class invariant [Bouhon et al., Nat. Phys. 16, 1137 (2020)] non-trivially manifest in the non-adiabatic corrections to the quantum limit of chiral charge pumping. These corrections could affect conductivity channels connected with the presence of chiral anomaly. Moreover, we show that, for non-symmorphic systems, this contribution is sensitive to the direction of the applied magnetic field (in respect to the so-called non-symmorphic nodal loop), suggesting that the conjectured direction-selective chiral anomaly in non-symmorphic systems [Bzdušek et al., Nature (London) 538, 75 (2016)] could lead to a strongly anisotropic longitudinal magnetoresistance. The presented approach can be easily applied to other $k \cdot p$ or tight-binding models.