论文标题
旋转3/2费米的手性分离效果
Chiral separation effect for spin 3/2 fermions
论文作者
论文摘要
考虑了具有旋转3/2 fermions的系统的手性分离效果（CSE）。对于具有相对论的无质量Rarita-Schwinger Fermions（RSA模型）的自一致的Adler模型，我们发现CSE电导率比无质量的Dirac Fermions大五倍。对于Rarita-Schwinger-Weyl半法中的四倍带交叉的模型，其中存在带有Quasispin 3/2的无质量费米子的模型，我们计算出CSE电导率是Weyl Fermions的四倍。我们表明，拓扑半学中任何多层费米点的CSE电导率与其Chern数字成正比，并且受拓扑保护。按照计算，我们证明了一个指标定理，该定理与相应的兰道带结构的费米点和光谱不对称的chern数相关联。发现对任何手性费米子系统的CSE都由相应的Chern号码决定的假设是RSA模型（以及Dirac Fermions）的正确假设。
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).
