Magnetoresistance in relativistic hydrodynamics without anomalies

Abstract

We present expressions for the magnetoconductivity and the magnetoresistance of a strongly interacting metal in 3 + 1 dimensions, derivable from relativistic hydrodynamics. Such an approach is suitable for ultraclean metals with emergent Lorentz invariance. When this relativistic fluid contains chiral anomalies, it is known to exhibit longitudinal negative magnetoresistance. We show that similar effects can arise in nonanomalous relativistic fluids due to the distinctive gradient expansion. In contrast with a Galilean-invariant fluid, the resistivity tensor of a dirty relativistic fluid exhibits similar angular dependence to negative magnetoresistance, even when the constitutive relations and momentum relaxation rate are isotropic. We further account for the effect of magnetic field-dependent corrections to the gradient expansion and the effects of long-wavelength impurities on magnetoresistance. We note that the holographic D3/D7 system exhibits negative magnetoresistance.

Magnetophonons & type-B Goldstones from hydrodynamics to holography

“…We focus our analysis on the electric conductivities: 1) and [112], in particular, on the longitudinal conductivity σ xx (ω) and the Hall conductivity σ xy (ω), defined via the following Kubo formulas:…”

Holographic DC conductivity for backreacted nonlinear electrodynamics with momentum dissipation

“…On the other hand, the behavior of negative magneto-resistance was found in strongly coupled holographic chiral anomalous systems [13][14][15][16]. In [17], it showed that negative magneto-resistance could also arise in nonanomalous relativistic fluids due to the distinctive gradient expansion. Note that the transport phenomena in the presence of Weyl corrections have also been discussed in [18][19][20].…”

Magnetotransport of Weyl semimetals with ℤ2 topological charge and chiral anomaly

“…Similar effect can arise in the hydrodynamical attitude, when the distinctive gradient expansion is taken into account (the non-relativistic constitutive relations can be derived from the most general covariant form of the expression, up to the third order in the field strength) [30]. Moreover, in a relativistic hydrodynamic theory of transport, it depends on the macroscopic model (one can achieve both negative and positive magnetoresistance).…”

“…30) ( the similar condition holds for B µ field). Consequently, by virtue of the equations (4.29) and (4.30), we obtain the expressions describingσ F andσ B .…”

“…Moreover, in a relativistic hydrodynamic theory of transport, it depends on the macroscopic model (one can achieve both negative and positive magnetoresistance). In non-Galilean invariant fluids the effect can arise not only due to the presence of a background magnetic field but also depends on the specific structure of the considered hydrodynamics [30].…”