Electric and magnetic conductivities in magnetized fermion systems
arXiv:2304.00519 · doi:10.1103/PhysRevD.107.116006
Abstract
In Wigner function approach with relaxation time approximation, we calculate electric and magnetic conductivities of a fermion system in the strong magnetic field. The linear response has been calculated to the perturbation of electromagnetic fields on the background constant magnetic field. The Wigner function is separated into an equilibrium part in the background magnetic field and an off-equilibrium part induced by perturbative fields. The analytical expression for the equilibrium part and the corresponding equilibrium conditions are given. For the off-equilibrium part, we obtain the kinetic equation at the leading order in from the master equation of the Wigner function. When perturbative fields only depend on the proper time, the off-equilibrium part can be analytically solved from which the vector and axial vector currents are obtained. We obtain the longitudinal and transverse Ohm conductivities as well as Hall conductivity as the linear response of the vector current to the perturbative electric field. The behaviors of these conductivities as functions of the evolving time, relaxation time, particle mass, and strength of the background magnetic field are investigated both analytically and numerically.
arXiv comment25 pages, 6 figures
References in corpus (74)
- The Chiral Magnetic Effect
- The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
- Estimate of the magnetic field strength in heavy-ion collisions
- Event-by-event generation of electromagnetic fields in heavy-ion collisions
- Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- Matter in Strong Magnetic Fields
- Electromagnetic field evolution in relativistic heavy-ion collisions
- Charge separation induced by P-odd bubbles in QCD matter
- Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
- The Quark-Gluon Plasma: Collective Dynamics and Hard Thermal Loops
- Producing ultra-strong magnetic fields in neutron star mergers
- Anomalous Axion Interactions and Topological Currents in Dense Matter
- Chiral Magnetic Wave
- Quantum Anomalies in Dense Matter
- Electromagnetic fields and anomalous transports in heavy-ion collisions --- A pedagogical review
- Magnetohydrodynamics, charged currents and directed flow in heavy ion collisions
- Chiral magnetic wave at finite baryon density and the electric quadrupole moment of quark-gluon plasma in heavy ion collisions
- Chiral anomaly and local polarization effect from quantum kinetic approach
- Time and space dependence of electromagnetic field in relativistic heavy-ion collisions
- Kinetic theory for massive spin-1/2 particles from the Wigner-function formalism
- Relativistic Chiral Kinetic Theory from Quantum Field Theories
- Magnetic-Field-Induced insulator-conductor transition in SU(2) quenched lattice gauge theory
- Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
- Analytic Bjorken flow in one-dimensional relativistic magnetohydrodynamics
- Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields
- Magnetic Field Induced Polarization Difference between Hyperons and Anti-hyperons
- Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
- Bjorken flow in one-dimensional relativistic magnetohydrodynamics with magnetization
- Magnetic fields in heavy ion collisions: flow and charge transport
- From Kadanoff--Baym to Boltzmann equations for massive spin-1/2 fermions
- Longitudinal Conductivity in Strong Magnetic Field in Perturbative QCD: Complete Leading Order
- Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
- Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation
- Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
- Foundations and Applications of Quantum Kinetic Theory
- Electric conductivity of hot and dense quark matter in a magnetic field with Landau level resummation via kinetic equations
- Extreme matter in electromagnetic fields and rotation
- Electromagnetic response of quark-gluon plasma in heavy-ion collisions
- Lattice study of electromagnetic conductivity of quark-gluon plasma in external magnetic field
- Anomalous Maxwell equations for inhomogeneous chiral plasma
- Transport coefficients of hot magnetized QCD matter beyond the lowest Landau level approximation
- Event-by-event distribution of magnetic field energy over initial fluid energy density in = 200 GeV Au-Au collisions
- The Chiral Magnetic Effect and an experimental bound on the late time magnetic field strength
- Chiral Hall Effect and Chiral Electric Waves
- Shear Viscosity of Quark-Gluon Plasma in Weak Magnetic Field in Perturbative QCD: Leading Log
- New developments in relativistic magnetohydrodynamics
- Transport coefficients of hot and dense hadron gas in a magnetic field: a relaxation time approach
- Transverse flow induced by inhomogeneous magnetic fields in the Bjorken expansion
- Wigner function and pair production in parallel electric and magnetic fields
- Revisit to electrical and thermal conductivities, Lorenz number and Knudsen number in thermal QCD in a strong magnetic field
- Holographic Chiral Electric Separation Effect
- Ellipticity of photon emission from strongly magnetized hot QCD plasma
- Jet quenching parameter of quark-gluon plasma in strong magnetic field: Perturbative QCD and AdS/CFT correspondence
- Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
- Thermal Relaxation, Electrical Conductivity and Charge Diffusion in a Hot QCD Medium
- Effective Actions, Boundaries and Precision Calculations of Casimir Energies
- Bulk viscosity of a hot QCD/QGP medium in strong magnetic field within relaxation-time approximation
- Chiral kinetic theory from Landau level basis
- Wigner functions of massive fermions in strong magnetic fields
- Polarization and Splitting Induced by Rotation and Magnetic Field
- Charge-dependent flow as evidence of strong electromagnetic fields in heavy-ion collisions
- Conductivities of magnetic quark-gluon plasma at strong coupling
- Kinetic Equation for Gluons in the Background Gauge of QCD
- Quantum kinetic theory for spin-1/2 fermions in Wigner function formalism
- Rate and ellipticity of dilepton production in a magnetized quark-gluon plasma
- Electric conductivity with the magnetic field and the chiral anomaly in a holographic QCD model
- Charge-dependent directed flows in heavy-ion collisions by Boltzmann-Maxwell equations
- Anomalous magnetohydrodynamics with temperature-dependent electric conductivity and application to the global polarization
- Spin polarization induced by magnetic field and the relativistic Barnett effect
- Wigner function and kinetic phenomena for chiral plasma in a strong magnetic field
- Chiral susceptibility in Nambu Jona Lasinio model: a Wigner function approach
- Anomalous magnetohydrodynamics with constant anisotropic electric conductivities
- Charge-dependent flow induced by electromagnetic fields in heavy ion collisions
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