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arXiv 2102.00207cond-mat.mes-hallcond-mat.mtrl-scicond-mat.str-elphysics.flu-dynphysics.plasm-ph
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石墨烯中电子输运的流体力学方法:能量弛豫

Hydrodynamic approach to electronic transport in graphene: energy relaxation

B. N. Narozhny, I. V. Gornyi

摘要:

在几乎补偿的石墨烯中,无序辅助的电子-声子散射或“超碰撞”负责准粒子复合和能量弛豫。在流体动力学方法中,这些过程在局部平衡时为连续性方程提供弱衰减项,即,在“理想”流体力学的水平上。在这里,我们报告的衰变项的推导,由于弱违反能量守恒。由于每个能带中的粒子数不守恒,这些项必须与众所周知的复合项同等看待。在足够高的温度下,在“流体动力学区域”,超碰撞主导了两种类型的相互作用)。我们还讨论了超碰撞对热传递方程的贡献(推广了粘性流体力学中能量密度的连续性方程)。

英文摘要:

In nearly compensated graphene, disorder-assisted electron-phonon scattering or "supercollisions" are responsible for both quasiparticle recombination and energy relaxation. Within the hydrodynamic approach, these processes contribute weak decay terms to the continuity equations at local equilibrium, i.e., at the level of "ideal" hydrodynamics. Here we report the derivation of the decay term due to weak violation of energy conservation. Such terms have to be considered on equal footing with the well-known recombination terms due to nonconservation of the number of particles in each band. At high enough temperatures in the "hydrodynamic regime" supercollisions dominate both types of the interaction). We also discuss the contribution of supercollisions to the heat transfer equation (generalizing the continuity equation for the energy density in viscous hydrodynamics).

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