Topological contribution to magnetism in the Kane-Mele model: An explicit wave-function approach
Topological contribution to magnetism in the Kane-Mele model: An explicit wave-function approach
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DOI：
10.1103/physrevb.107.085201
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发表时间：
2022-04
影响因子：
3.7
通讯作者：
S. Ozaki;M. Ogata
中科院分区：
文献类型：
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作者：
S. Ozaki;M. Ogata
在我们以前的出版物[S。Ozaki和M. Ogata，Phys. Rev. Research 3，013058]，对于Kane-Mele模型，使用Dirac点周围的展开，示出了磁化率中的轨道-塞曼（OZ）交叉项或自旋塞曼和轨道效应的交叉项的量子化。在本研究中，我们准确地评估轨道，自旋塞曼，和OZ交叉项的凯恩-梅勒模型使用最近开发的配方。这个公式是写在明确的布洛赫波函数，并使我们能够评估每个贡献，考虑到整个布里渊区的积分和所有频带的总和。此外，我们的计算结果证实了OZ交叉项的量子化，并揭示了它在金属情况下的行为。实验检测的量化的可能性进行了讨论。
In our previous publication [S. Ozaki and M. Ogata, Phys. Rev. Research 3, 013058], the quantization of the orbital-Zeeman (OZ) cross term in the magnetic susceptibility, or the cross term of spin Zeeman and orbital effect, was shown for the Kane-Mele model using the expansion around the Dirac points. In the present study, we accurately evaluate the orbital, spin-Zeeman, and OZ cross term of the Kane-Mele model using a recently developed formulation. This formula is written in terms of the explicit Bloch wave functions, and enables us to evaluate each contribution taking account of the integration over the whole Brillouin zone and the summation over all the bands. As a result, additional contributions such as core-electron diamagnetism are found. Furthermore, our evaluation confirms the quantization of the OZ cross term and reveals its behavior including the metallic case. The possibility of experimental detection of the quantization is discussed.