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arXiv 1507.08946cond-mat.mes-hallcond-mat.dis-nncond-mat.mtrl-scicond-mat.str-elphysics.flu-dyn
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石墨烯中碰撞主导的非线性流体动力学

Collision-dominated nonlinear hydrodynamics in graphene

U. Briskot, M. Schütt, I. V. Gornyi, M. Titov, B. N. Narozhny, A. D. Mirlin

摘要:

我们提出了一个有效的流体动力学理论的电子输运在石墨烯中的相互作用为主的制度。我们从微观玻尔兹曼动力学方程中推导出紧急的流体动力学描述,并考虑到库仑相互作用引起的耗散,并找到任意密度的狄拉克费米子在石墨烯中的粘度。在高温下,粘性项对清洁样品的输运系数有显著影响。在线性响应,我们表明,粘度体现在非局部电导率以及流体动力学等离子体激元的色散。在线性响应之外,我们将导出的非线性流体力学应用于石墨烯中的热点弛豫问题。

英文摘要:

We present an effective hydrodynamic theory of electronic transport in graphene in the interaction-dominated regime. We derive the emergent hydrodynamic description from the microscopic Boltzmann kinetic equation taking into account dissipation due to Coulomb interaction and find the viscosity of Dirac fermions in graphene for arbitrary densities. The viscous terms have a dramatic effect on transport coefficients in clean samples at high temperatures. Within linear response, we show that viscosity manifests itself in the nonlocal conductivity as well as dispersion of hydrodynamic plasmons. Beyond linear response, we apply the derived nonlinear hydrodynamics to the problem of hot spot relaxation in graphene.

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