Chiral Hall Effect and Chiral Electric Waves

Abstract

We investigate the vector and axial currents induced by external electromagnetic fields and chemical potentials in chiral systems at finite temperature. Similar to the normal Hall effect, we find that an axial Hall current is generated in the presence of the electromagnetic fields along with an axial chemical potential, which may be dubbed as the "chiral Hall effect"(CHE). The CHE is related to the interactions of chiral fermions and exists with the a nonzero axial chemical potential. We argue that the CHE could lead to nontrivial charge distributions at different rapidity in asymmetric heavy ion collisions. Moreover, we study the chiral electric waves(CEW) led by the fluctuations of the vector and axial chemical potentials along with the chiral electric separation effect(CESE), where a density wave propagates along the applied electric field. Combining with the normal/chiral Hall effects, the fluctuations of chemical potentials thus result in Hall density waves. The Hall density waves may survive even at zero chemical potentials and become non-dissipative. We further study the transport coefficients including the Hall conductivities, damping times, wave velocities, and diffusion constants of CEW in a strongly coupled plasma via the AdS/CFT correspondence.

36 pages, 12 figures, sec.IV modified, journal version accepted by PRD

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• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
• Effect of intense magnetic fields on reduced-MHD evolution in $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV Au+Au collisions
• Revisit to electrical and thermal conductivities, Lorenz number and Knudsen number in thermal QCD in a strong magnetic field
• Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
• Boost invariant formulation of the chiral kinetic theory
• Deconfinement and chiral phase transitions in quark matter with a strong electric field
• Possible observables for the chiral electric separation effect in Cu + Au collisions
• Viscous Leptons in the Quark Gluon Plasma