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).

考虑了具有自旋 3/2 费米子的系统的手性分离效应 (CSE)。对于具有相对论性无质量 Rarita-Schwinger 费米子的自洽阿德勒模型（RSA 模型），我们发现 CSE 电导率是无质量狄拉克费米子的五倍。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，我们计算出 CSE 电导率是 Weyl 费米子的四倍。我们表明，拓扑半金属中任何多简并费米点的 CSE 电导率与其陈数成正比，并且受到拓扑保护。在计算过程中，我们证明了一个指数定理，该定理将费米点的陈数和相应朗道能带结构的光谱不对称性联系起来。