Lucas Andrew
Department of Physics, Stanford University, Stanford, California 94305, USA.
Phys Rev Lett. 2018 Mar 16;120(11):116603. doi: 10.1103/PhysRevLett.120.116603.
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 ρ 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 ρ∝T^{2} resistivity in a Fermi liquid may describe low T transport in single-band SrTiO_{3}.
我们提出了在跨越弹道到流体动力学转变的微扰小非均匀磁场中准粒子输运的理论。在流体动力学极限下,在足够高的温度T时,电阻率ρ通常与动量守恒的电子 - 电子碰撞速率成比例增长。特别地,由此产生的电子流提供了一种简单的情形,其中粘性效应将电导率抑制到弹道值以下。费米液体中这种ρ∝T²电阻率的新机制可能描述了单带SrTiO₃中的低温输运。