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arXiv · 1710.11141

Kinetic theory of electronic transport in random magnetic fields

Andrew Lucas
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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 $\mathrm{SrTiO}_3$.

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Andrew Lucas. 2017-10-30. Kinetic theory of electronic transport in random magnetic fields. https://doi.org/10.1103/physrevlett.120.116603

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