Chiral separation effect for spin 3/2 fermions

Abstract

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).

References in corpus (38)

• The Chiral Magnetic Effect
• Chiral Anomaly and Classical Negative Magnetoresistance of Weyl Metals
• Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Anomalous Axion Interactions and Topological Currents in Dense Matter
• Discovery of topological chiral crystals with helicoid arc states
• New classes of chiral topological nodes with non-contractible surface Fermi arcs in CoSi
• Chiral Magnetic conductivity
• Observation of Chiral Fermions with a Large Topological Charge and and Associated Fermi-Arc Surface States in CoSi
• Chiral Topological Semimetal with Multifold Band Crossings and Long Fermi arcs
• Adler-Bell-Jackiw anomaly in Weyl semi-metals: Application to Pyrochlore Iridates
• Observation and control of maximal Chern numbers in a chiral topological semimetal
• Berry phase correction to electron density in solids and "exotic" dynamics
• A condensed matter realization of the axial magnetic effect
• Notes on chiral hydrodynamics within effective theory approach
• Chiral magnetic effect in lattice QCD with a chiral chemical potential
• Anomalous Transport from Kubo Formulae
• Normal ground state of dense relativistic matter in a magnetic field
• Computing Spectral Densities in Finite Temperature Field Theory
• Emergent spacetime and gravitational Nieh-Yan anomaly in chiral $p+ip$ Weyl superfluids and superconductors
• Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field
• Observation of multiple types of topological fermions in PdBiSe
• Chiral torsional effect
• Nieh-Yan Anomaly: Torsional Landau Levels, central charge and anomalous thermal Hall effect
• Chiral Separation Effect in lattice regularization
• Interplay of topology and electron-electron interactions in Rarita-Schwinger-Weyl semimetals
• Cutting rules at finite temperature
• The Zilch Vortical Effect
• Chiral asymmetry and axial anomaly in magnetized relativistic matter
• Index theorem on chiral Landau bands for topological fermions
• Topological magnetotorsional effect in Weyl semimetals
• Chiral torsional effect with finite temperature, density and curvature
• A numerical study of non-perturbative corrections to the Chiral Separation Effect in quenched finite-density QCD
• Anatomy of the chiral vortical effect
• Anomalous Transport in Holographic Chiral Superfluids via Kubo Formulae
• Analysis of a gauged model with a spin-$\frac{1}{2}$ field directly coupled to a Rarita-Schwinger spin-$\frac{3}{2}$ field
• Chiral Anomaly Calculation in the Extended Coupled Rarita-Schwinger Mode
• Analysis of an $SU(8)$ model with a spin-$\frac{1}{2}$ field directly coupled to a gauged Rarita-Schwinger spin-$\frac{3}{2}$ field

Cited by in corpus (2)

• Chiral Vortical Effect in Extended Rarita-Schwinger Field Theory and Chiral Anomaly
• Gravitational chiral anomaly for spin 3/2 field interacting with spin 1/2 field