Chiral separation effect for spin 3/2 fermions

A bstract 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 (RSA model), we found CSE conductivity is five times larger than Dirac fermions. a of four-fold band crossing in Rarita-Schwinger-Weyl semimetals, which quasispin exist, calculated four Weyl We show any multi-degenerate Fermi point topological semimetals proportional to its Chern number and topologically protected. Along calculations, proved an index theorem relates Fermi-point spectral asymmetry corresponding Landau structure. The assumption system chiral dictated by be correct RSA (and fermions).