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arXiv 2103.05591cond-mat.mes-hall
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轨道磁化率和霍尔电导率中出现的节线材料的特征奇异行为

Characteristic singular behaviors of nodal line materials emerging in orbital magnetic susceptibility and Hall conductivity

Ikuma Tateishi, Viktor Könye, Hiroyasu Matsuura, Masao Ogata

摘要:

节线材料的体积性质是近年来的一个重要研究课题。本文利用热格林函数方法研究了节线材料的轨道磁化率和霍尔电导率,发现了它们的奇异性特征。结果表明,在无带隙节线附近,轨道磁化率呈现$δ$函数奇异性,霍尔电导率呈现阶跃函数行为.此外,这些奇异行为被发现显示出强烈的场角依赖性对应的节点线在动量空间中的方向。这些奇异行为和强烈的角度依赖性将为节线的存在及其取向提供明确的证据,并可用于实验检测节线材料。

英文摘要:

The bulk properties of nodal line materials have been an important research topic in recent years. In this paper, we study the orbital magnetic susceptibility and the Hall conductivity of nodal line materials using the formalism with thermal Green's functions and find characteristic singular behaviors of them. It is shown that, in the vicinity of the gapless nodal line, the orbital magnetic susceptibility shows a $δ$-function singularity and the Hall conductivity shows a step function behavior in their chemical potential dependences. Furthermore, these singular behaviors are found to show strong field angle dependences corresponding to the orientation of the nodal line in the momentum space. These singular behaviors and strong angle dependences will give clear evidence for the presence of the nodal line and its orientation and can be used to experimentally detect nodal line materials.

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