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arXiv 2011.13407hep-ph
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自旋为3/2的费米子的手征分离效应

Chiral separation effect for spin 3/2 fermions

Z. V. Khaidukov, R. A. Abramchuk

摘要:

研究了自旋为3/2的费米子系统的手征分离效应。对于具有相对论性无质量的Rarita-Schwinger费米子的自洽Adler模型(RSA模型),我们发现CSE电导率是无质量Dirac费米子的5倍。对于Rarita-Schwinger-Weyl半金属中的四重带交叉模型,其中存在准自旋为3/2的无质量费米子,我们计算了CSE电导率是Weyl费米子的四倍。我们证明了拓扑半金属中任意多简并费米点的CSE电导率与其陈数成正比,并且是拓扑保护的。在计算过程中,我们证明了一个将费米点的陈数与朗道能带结构的光谱不对称性联系起来的指数定理。对于RSA模型(以及Dirac费米子),我们发现任何手征费米子系统的CSE由相应的陈数决定的假设是正确的。

英文摘要:

Chiral Separation Effect (CSE) for systems that feature spin 3/2 fermions was considered. For the self-consistent Adler's model with relativistic massless Rarita-Schwinger fermions (RSA model), we found that the CSE conductivity is five times larger than for massless Dirac fermions. For a model of four-fold band crossing in Rarita-Schwinger-Weyl semimetals, in which massless fermions with quasispin 3/2 exist, we calculated that the CSE conductivity is four times larger than for Weyl fermions. We show that CSE conductivity for any multi-degenerate Fermi point in topological semimetals is proportional to its Chern number and is topologically protected. Along the calculations, we proved an index theorem that relates Chern number of a Fermi-point and spectral asymmetry of the corresponding Landau band structure. The assumption that CSE for any system of chiral fermions is dictated by the corresponding Chern number is found to be correct for RSA model (and for the Dirac fermions).

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