Kinetic theory of electronic transport in random magnetic fields

Abstract

We present the theory of quasiparticle transport in perturbatively small inhomogeneous magnetic fields across the ballistic-to-hydrodynamic crossover. In the hydrodynamic limit, the resistivity $\rho$ generically grows proportionally to the rate of momentum-conserving electron-electron collisions at large enough temperatures $T$. In particular, the resulting flow of electrons provides a simple scenario where viscous effects suppress conductance below the ballistic value. This new mechanism for $\rho \propto T^2$ resistivity in a Fermi liquid may describe low $T$ transport in single-band ${\mathrm{SrTiO}}_3$.

v2: published version. 7+8 pages, 1+0 figures

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Cited by in corpus (9)

• Hydrodynamics of electrons in graphene
• Electronic sound modes and plasmons in hydrodynamic two-dimensional metals
• Electronic hydrodynamics and the breakdown of the Wiedemann-Franz and Mott laws in interacting metals
• T-square resistivity without Umklapp scattering in dilute metallic Bi${}_2$O${}_2$Se
• Electron-phonon hydrodynamics
• Electron hydrodynamics with a polygonal Fermi surface
• Anomalous normal state resistivity in superconducting $L{a}_{2-x}C{e}_{x}Cu{O}_4$: Fermi liquid or strange metal?
• Hydrodynamic effective field theories with discrete rotational symmetry
• Sign of viscous magnetoresistance in electron fluids