Chiral magnetic effect for chiral fermion system

Abstract

We concisely derive chiral magnetic effect through Wigner function approach for chiral fermion system. Then we derive chiral magnetic effect through solving the Landau levels of chiral fermions in detail. The procedures of second quantization and ensemble average lead to the equation of chiral magnetic effect for righthand and lefthand fermion systems. Chiral magnetic effect only comes from the contribution of the lowest Landau level. We carefully analyze the lowest Landau level, and find that all righthand (chirality is +1) fermions move along positive z-direction and all lefthand (chirality is -1) fermions move along negative z-direction. From this picture chiral magnetic effect can be explained clearly in a microscopic way.

References in corpus (23)

• The Chiral Magnetic Effect
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Hydrodynamics with Triangle Anomalies
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Parity violation in hot QCD: why it can happen, and how to look for it
• Fluid dynamics of R-charged black holes
• Charge separation induced by P-odd bubbles in QCD matter
• Azimuthal Charged-Particle Correlations and Possible Local Strong Parity Violation
• The Chiral Magnetic Effect and Anomaly-Induced Transport
• Anomalous Axion Interactions and Topological Currents in Dense Matter
• Observation of charge-dependent azimuthal correlations and possible local strong parity violation in heavy ion collisions
• Charge separation relative to the reaction plane in Pb-Pb collisions at $\sqrt{s_{\mathrm{NN}}}=2.76$ TeV
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Polarization of massive fermions in a vortical fluid
• Anomalies and time reversal invariance in relativistic hydrodynamics: the second order and higher dimensional formulations
• Fluid/gravity model for the chiral magnetic effect
• Electromagnetic fields with electric and chiral magnetic conductivities in heavy ion collisions
• Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma
• A consistent description of kinetic equation with triangle anomaly
• Wigner functions of massive fermions in strong magnetic fields
• Magnetic moment, vorticity-spin coupling and parity-odd conductivity of chiral fermions in 4-dimensional Wigner functions
• The Subtleties of the Wigner Function Formulation of the Chiral Magnetic Effect

Cited by in corpus (8)

• Foundations and Applications of Quantum Kinetic Theory
• Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
• Second-order Charge Currents and Stress Tensor in Chiral System
• Spin polarization induced by magnetic field and the relativistic Barnett effect
• Mode Decomposed Chiral Magnetic Effect and Rotating Fermions
• Thermodynamics of the system of massive Dirac fermions in a uniform magnetic field
• Thermodynamics of Chiral Fermion System in a Uniform Magnetic Field
• Chirality imbalance and chiral magnetic effect under a parallel electromagnetic field