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arXiv 1911.03377cond-mat.mtrl-scicond-mat.mes-hall
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I型和II Weyl半金属Casimir相互作用的复光学响应特征

Signatures of Complex Optical Response in Casimir Interactions of Type I and II Weyl Semimetals

Pablo Rodriguez-Lopez, Adrian Popescu, Ignat Fialkovsky, Nail Khusnutdinov, Lilia M. Woods

摘要:

卡西米尔相互作用是由物体之间的电磁涨落引起的,它强烈依赖于组成物体的材料的电子和光学性质。在这里,我们调查这种无处不在的相互作用Weyl半金属,一类3D系统的低能量线性色散和非平凡的拓扑结构,由于对称性条件和源于分离的能量锥。全面检查的所有组件的体电导率张量以及由于费米弧状态在实频域和虚频域的表面电导率,提出了使用Kubo形式主义的Weyl半金属与不同程度的倾斜的线性能量锥。使用广义Lifhsitz方法计算Casimir能量,推导并使用各向异性材料的电磁边界条件。我们发现Weyl半金属之间的Casimir相互作用是类金属的,其大小和特征距离依赖性可以通过倾斜度和化学势来修改。非平凡的拓扑结构在这些3D材料的Casimir相互作用中起着次要作用,并且热波动预计具有与金属系统类似的效果。

英文摘要:

The Casimir interaction is induced by electromagnetic fluctuations between objects and it is strongly dependent upon the electronic and optical properties of the materials making up the objects. Here we investigate this ubiquitous interaction between Weyl semimetals, a class of 3D systems with low energy linear dispersion and nontrivial topology due to symmetry conditions and stemming from separated energy cones. A comprehensive examination of all components of the bulk conductivity tensor as well as the surface conductivity due to the Fermi arc states in real and imaginary frequency domains is presented using the Kubo formalism for Weyl semimetals with different degree of tilting of their linear energy cones. The Casimir energy is calculated using a generalized Lifhsitz approach, for which electromagnetic boundary conditions for anisotropic materials were derived and used. We find that the Casimir interaction between Weyl semimetals is metallic-like and its magnitude and characteristic distance dependence can be modified by the degree of tilting and chemical potential. The nontrivial topology plays a secondary role in the Casimir interaction of these 3D materials and thermal fluctuations are expected to have similar effects as in metallic systems.

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