Hydrodynamics in graphene: Linear-response transport
Hydrodynamics in graphene: Linear-response transport
复制标题
DOI：
10.1103/physrevb.91.035414
复制
发表时间：
2015-01-12
影响因子：
3.7
通讯作者：
Mirlin, A. D.
中科院分区：
文献类型：
--
作者：
Narozhny, B. N.;Gornyi, I. V.;Mirlin, A. D.
我们开发了一个基于石墨烯的系统，我们来自量子动力学方程的输运性质的流体动力学描述。在相互作用为主的制度，共线散射奇异性的碰撞积分导致快速单向热化，并允许我们描述系统的三个宏观电流携带电荷，能量和准粒子的不平衡。在这种“三模式”近似下，我们评估单层石墨烯以及双层石墨烯基结构中的输运系数。由此产生的经典磁阻是强烈敏感的样品的几何形状和领先的松弛过程之间的相互作用。在小的介观样品中，宏观电流是不均匀的，这导致在经典强场中的线性磁阻。将我们的理论应用于双层石墨烯体系，为电荷中性时巨磁阻力的唯象描述提供了微观基础，并发现了掺杂石墨烯中的磁阻力和霍尔阻力。
We develop a hydrodynamic description of transport properties in graphene-based systems, which we derive from the quantum kinetic equation. In the interaction-dominated regime, the collinear scattering singularity in the collision integral leads to fast unidirectional thermalization and allows us to describe the system in terms of three macroscopic currents carrying electric charge, energy, and quasiparticle imbalance. Within this "three-mode" approximation, we evaluate transport coefficients in monolayer graphene as well as in double-layer graphene-based structures. The resulting classical magnetoresistance is strongly sensitive to the interplay between the sample geometry and leading relaxation processes. In small, mesoscopic samples, the macroscopic currents are inhomogeneous, which leads to a linear magnetoresistance in classically strong fields. Applying our theory to double-layer graphene-based systems, we provide a microscopic foundation for a phenomenological description of giant magnetodrag at charge neutrality and find the magnetodrag and Hall drag in doped graphene.