Theory of electric polarization and spin magnetization in inhomogeneous crystals
ORAL
Abstract
In this presentation, we derive an expression for electric polarization in inhomogeneous crystals by Kubo formula and discuss the physical meaning. We introduce the inhomogeneity linear in the spatial coordinate and incorporate the perturbation with wavenumber q and frequency ω. By calculating the electric current to the qω order, we obtain an expression for the electric polarization in inhomogeneous crystals. Then, we compare our result with semiclassical theory in Ref. [1], and we discuss the difference between them. Spin magnetization in inhomogeneous crystals is also discussed along the same line, and we can derive the multi-band expression for it, which is consistent with the previous work [2]. If time allows, we demonstrate the validity of our theory by the model calculation.
[1] Y. Zhao, Y. Gao, and D. Xiao, Phys. Rev. B 104, 144023 (2021).
[2] A. Shitade, A. Daido, and Y. Yanase, Phys. Rev. B 99, 024404 (2019).
[1] Y. Zhao, Y. Gao, and D. Xiao, Phys. Rev. B 104, 144023 (2021).
[2] A. Shitade, A. Daido, and Y. Yanase, Phys. Rev. B 99, 024404 (2019).
*N. A. acknowledges the financial support from Advanced Research Center for Quantum Physics and Nanoscience, Tokyo Institute of Technology, JST SPRING, Grant Number JPMJSP2106, and JSPS KAKENHI Grant No. JP23KJ0922. Y. G. acknowledges the support of the 363 Fundamental Research Funds for the Central Universities, 364 China (Grant No. WK2340000102). D. X. is supported by DOE Award No. DE-SC0012509. S. M is supported by JSPS KAKENHI Grant Numbers JP22K18687, JP22H00108, and JP24H02231 and by MEXT Initiative to Establish Next-generation Novel Integrated Circuits Centers (X-NICS) Grant Number JPJ011438.
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Presenters
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Nobuhiro Arai
- Institute of Science Tokyo, Tokyo