Negative magnetoresistivity in holography

Abstract

Negative magnetoresistivity is a special magnetotransport property associated with chiral anomaly in four dimensional chiral anomalous systems, which refers to the transport behavior that the DC longitudinal magnetoresistivity decreases with increasing magnetic field. We calculate the longitudinal magnetoconductivity in the presence of backreactions of the magnetic field to gravity in holographic zero charge and axial charge density systems with and without axial charge dissipation. In the absence of axial charge dissipation, we find that the quantum critical conductivity grows with increasing magnetic field when the backreaction strength is larger than a critical value, in contrast to the monotonically decreasing behavior of quantum critical conductivity in the probe limit. With axial charge dissipation, we find the negative magnetoresistivity behavior. The DC longitudinal magnetoconductivity scales as $B$ in the large magnetic field limit, which deviates from the exact $B^2$ scaling of the probe limit result. In both cases, the small frequency longitudinal magnetoconductivity still agrees with the formula obtained from the hydrodynamic linear response theory, even in the large magnetic field limit.

33 pages, 13 figures; v2, minor change, version to appear in JHEP

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• Gravitational Anomaly and Transport
• Relativistic Hydrodynamics with General Anomalous Charges
• Thermoelectric DC conductivities from black hole horizons
• Memory matrix theory of magnetotransport in strange metals
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• Anomalous transport from holography: Part II
• Chiral vortical conductivity across a topological phase transition from holography
• Holographic DC Conductivity for Backreacted NLED in Massive Gravity
• Magneto-Transport in a Chiral Fluid from Kinetic Theory
• Chiral magnetic waves in strongly coupled Weyl semimetals
• Magneto-transport in an anomalous fluid with weakly broken symmetries, in weak and strong regime
• Holographic Charged Fluid with Chiral Electric Separation Effect
• A Consistent Holographic Analysis of Anomaly-induced Charge Transport in the D3/D7 Model