2021
DOI: 10.1103/physrevb.103.115402
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Hydrodynamic collective modes in graphene

Abstract: Collective behavior is one of the most intriguing aspects of the hydrodynamic approach to electronic transport. Here we provide a consistent, unified calculation of the dispersion relations of the hydrodynamic collective modes in graphene. Taking into account viscous effects, we show that the hydrodynamic sound mode in graphene becomes overdamped at sufficiently large momentum scales. Extending the linearized theory beyond the hydrodynamic regime, we connect the diffusive hydrodynamic charge density fluctuatio… Show more

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Cited by 32 publications
(30 citation statements)
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“…For μ ∼ T , both the hydrodynamic and dissipative ("kinetic") contributions are of the same order. Now there is no small parameter in the theory and the full system of linearized hydrodynamic equations can be represented by a 6 × 6 matrix [92]. In the strongly doped regime (μ T ), the hydrodynamic contribution dominates and in addition the boundary scattering becomes diffusive.…”
Section: Discussionmentioning
confidence: 99%
“…For μ ∼ T , both the hydrodynamic and dissipative ("kinetic") contributions are of the same order. Now there is no small parameter in the theory and the full system of linearized hydrodynamic equations can be represented by a 6 × 6 matrix [92]. In the strongly doped regime (μ T ), the hydrodynamic contribution dominates and in addition the boundary scattering becomes diffusive.…”
Section: Discussionmentioning
confidence: 99%
“…We worked in the kinetic regime where plasmon frequency is much larger than the electron-electron scattering rate ω Γ ee [22]. In the low frequency hydrodynamic regime ω Γ ee [22,76,[86][87][88][89][90][91], the non-linear conductivities are similar in magnitude as long as the temperature is not much larger than chemical potential [22,23,92]. Therefore, our estimate of the generation rates should apply as well to the collective modes in the hydrodynamic regime such as the charged 'demons' [22,76,[86][87][88][89][90].…”
Section: Discussion and Experimental Outlookmentioning
confidence: 99%
“…In the low frequency hydrodynamic regime ω Γ ee [22,76,[86][87][88][89][90][91], the non-linear conductivities are similar in magnitude as long as the temperature is not much larger than chemical potential [22,23,92]. Therefore, our estimate of the generation rates should apply as well to the collective modes in the hydrodynamic regime such as the charged 'demons' [22,76,[86][87][88][89][90]. However, in the case of T µ, the demons become almost charge neutral, driven mainly by kinematic pressure, and the physics could be quite different.…”
Section: Discussion and Experimental Outlookmentioning
confidence: 99%
“…Nonreciprocal surface plasmons in 2D electron hydrodynamic materials-Collective behavior is one of the most intriguing aspects of the hydrodynamic approach. In fact, a number of previous works have applied hydrodynamics to analyze collective modes [44][45][46][47][48][49][50], particularly plasma modes [46][47][48][49][50]. We emphasize that our theory highlights both the effects of crystal symmetry and the geometrical effect of Bloch wave function, which have been rarely addressed in these previous works.…”
Section: Introduction-mentioning
confidence: 89%