2017
DOI: 10.1103/physrevb.96.184307
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Kelvin-Helmholtz instability of the Dirac fluid of charge carriers on graphene

Abstract: We provide numerical evidence that a Kelvin-Helmholtz instability occurs in the Dirac fluid of electrons in graphene and can be detected in current experiments. This instability appears for electrons in the viscous regime passing though a micrometer scale obstacle and affects measurements on the time scale of nanoseconds. A possible realization with a needle shaped obstacle is proposed to produce and detect this instability by measuring the electric potential difference between contact points located before an… Show more

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Cited by 20 publications
(20 citation statements)
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“…For the FD distribution, we use z = 1, which is appropriate, for instance, to model the Dirac fluid on graphene close to the charge neutrality point (µ = 0) [41,40]. So the weight function becomes…”
Section: Expansionmentioning
confidence: 99%
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“…For the FD distribution, we use z = 1, which is appropriate, for instance, to model the Dirac fluid on graphene close to the charge neutrality point (µ = 0) [41,40]. So the weight function becomes…”
Section: Expansionmentioning
confidence: 99%
“…In Ref. [41], the first model based on a fifth order expansion of the FD distribution was used to study the Kelvin-Helmholtz instability on graphene. Since this is a viscous fluid dynamical effect, a fully dissipative method is desirable to achieve better accuracy of the results.…”
Section: Introductionmentioning
confidence: 99%
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“…Finally, several authors have attempted to adapt RLBM schemes to the study of (2 + 1)dimensional relativistic hydrodynamics, motivated by the interest for the study of pseudo-relativistic systems such as the electrons flow in graphene. A series of theoretical works have taken into consideration the possibility of observing Rayleigh-Bénard instability [49,50], Kelvin-Helmholtz instability [51], current whirlpools [52], as well as preturbulent regimes [53,54] in a electronic fluid.…”
Section: Introductionmentioning
confidence: 99%
“…The hamiltonian of the Drude-Sommerfeld framework provides the thermally accessible energy levels E that are accessed through the residual scattering near to the Fermi level. The residual scattering can be formally included through the non-equilibrium Boltzmann-BGK equation 44,45 . The occupation number of an electronic state |χ , H|χ = E|χ , is f 0 ( k) = 1/ {exp [β(E − µ)] + 1}, β ≡ 1/k B T , for a temperature T and µ is the chemical potential.…”
Section: Topological Properties Of the Drude-sommerfeld Modelmentioning
confidence: 99%