Negative Landau Damping in Bilayer Graphene

Morgado, Tiago A.; Silveirinha, Mário G.

doi:10.1103/physrevlett.119.133901

Cited by 77 publications

(86 citation statements)

References 63 publications

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“…This boundary condition ensures that these modes can be orthonormalized according to the sesquilinear form given in Eq. (21), which in this spherically-symmetric scenario assumes the form…”

Section: Spherically-symmetric Stationary Anisotropic Mediummentioning

confidence: 99%

“…The system, a neutral plasma whose components have anisotropic velocity distribution, possesses growing electromagnetic transverse waves. Related effects have been studied since then, with recent applications to solar plasma instability [20] and solid state devices [21]. Moreover, causal aspects of classical propagation in active materials were discussed in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…The sesquilinear form given in Eq. (21), applied to the scenario described in Sec. IV, takes the form -notice that the integrand is a scalar and, as such, can be evaluated in any coordinate system:…”

mentioning

confidence: 99%

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Analogues of gravity-induced instabilities in anisotropic metamaterials

Ribeiro

Vanzella

2020

Phys. Rev. Research

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In the context of field theory in curved spacetimes, it is known that suitable background spacetime geometries can trigger instabilities of fields, leading to exponential growth of their (quantum and classical) fluctuations -a phenomenon called vacuum awakening in the quantum context, which in some classical scenarios seeds spontaneous scalarization/vectorization. Despite its conceptual interest, an actual observation in nature of this effect is uncertain since it depends on the existence of fields with appropriate masses and couplings in strong-gravity regimes. Here, we propose analogues for this gravity-induced instability based on nonlinear optics of metamaterials which could, in principle, be observed in laboratory. * Electronic address: caiocesarribeiro@ifsc.usp.br † Electronic address: vanzella@ifsc.usp.br

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“…This boundary condition ensures that these modes can be orthonormalized according to the sesquilinear form given in Eq. (21), which in this spherically-symmetric scenario assumes the form…”

Section: Spherically-symmetric Stationary Anisotropic Mediummentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analogues of gravity-induced instabilities in anisotropic metamaterials

Ribeiro

Vanzella

2020

Phys. Rev. Research

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“…Here Π + and Π − are the polarizabilities of individual top and bottom layers, V 0 = 2πe 2 /κ|q| is the Fourier transform of Coulomb interaction and κ is the background dielectric constant. Substitution of hydrodynamic polarizability (23) results in biquadratic equation with two eigenmodes…”

Section: Analysis Of Instabilities In the Double-layer Systemmentioning

confidence: 99%

“…The velocity of drift u 0 < v 0 thus never satisfies the Cerenkov criterion. In the HD regime, the lower bound on plasmon velocity isPrevious studies of current-driven plasmon emission in graphene were a field of delusions, with spurious instabilities in ballistic regime predicted [22,23]. The inadequacy of these predictions stems from breakdown of Galilean invariance in Dirac systems [24] which makes the Doppler transform inapplicable for plasmon frequencies in a moving reference frame [25].…”

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confidence: 99%

Emission of plasmons by drifting Dirac electrons: A hallmark of hydrodynamic transport

Svintsov

2019

Phys. Rev. B

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Direct current in clean semiconductors and metals was recently shown to obey the laws of hydrodynamics in a broad range of temperatures and sample dimensions. However, the determination of frequency window for hydrodynamic phenomena remains challenging. Here, we reveal a phenomenon being a hallmark of high-frequency hydrodynamic transport, the Cerenkov emission of plasmons by drifting Dirac electrons. The effect appears in hydrodynamic regime only due to reduction of plasmon velocity by electron-electron collisions below the velocity of carrier drift. To characterize the Cerenkov effect quantitatively, we analytically find the high-frequency non-local conductivity of drifting Dirac electrons across the hydrodynamic-to-ballistic crossover. We find the growth rates of hydrodynamic plasmon instabilities in two experimentally relevant setups: parallel graphene layers and graphene covered by subwavelength grating, further showing their absence in ballistic regime. We argue that the possibility of Cerenkov emission is linked to singular structure of non-local conductivity of Dirac materials and is independent on specific dielectric environment.The realm of hydrodynamic transport spans at length scales exceeding the particle free path [1]. Experimental demarcation of hydrodynamics and ballistics is conveniently performed by measuring the flow through a pipe between two reservoirs. The flow through wide pipes is limited by viscosity (Poiseuille flow), while in narrower pipes it is limited by particle injection (Knudsen flow). Recently, similar experiments were performed in ultraclean solid-state systems, including thin metal wires [2], Weyl semimetals [3], GaAs-based quantum wells [4], and graphene [5-7]. They have revealed quite a broad window of temperatures and sample dimensions where electrons obey the laws of hydrodynamics [8] but not ballistics, as thought previously [9].While the place for dc hydrodynamic (HD) phenomena on temperature and length scales is established [10,11], the bounds for hydrodynamics on frequency scale are less probed [12]. Generally, electron-electron (e-e) collisions being the prerequisite of HD transport affect neither dc nor ac conductivity in uniform fields, though they may affect the properties of waves in solids -plasmons. Still, the spectra of plasmons in HD and ballistic regimes are almost identical as they are dictated by long-range Coulomb forces insensitive to microscopic details of e-e interactions [13,14]. The character of damping due to e-e scattering in ballistic and HD regimes is different [15,16], still, it is often masked by extrinsic damping.In this Letter, we theoretically reveal a plasmonic phenomenon serving as a hallmark of hydrodynamic transport, and is fully prohibited in collisionless ballistic regime. The effect is emission of plasmons by drifting Dirac electrons or, in other words, Cerenkov plasmon instability of electron drift. Our emphasis on Dirac electron systems, especially graphene, is motivated by numerous observations of hydrodynamic phenomena therein [5][6...

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Generation of Slow Surface Plasmon Polaritons in a Complex Waveguide Structure with Electric Current Pump

et al. 2018

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A planar spaser structure composed of semiconducting film and graphene with DC current is proposed and theoretically explored. Graphene possesses velocity of drift current carriers comparable with the phase velocity of surface plasmon polaritons (SPPs) in ultrathin semiconducting film at the terahertz regime. When the synchronism condition between current and slow surface electromagnetic waves is realized, the amplification of plasmons by electric current takes place. In the proposed complex waveguide structure, positive feedback is realized due to reflections from the edges of the active waveguide, and the SPPs are decoupled into light by a microscopic grating manufactured on the semiconducting film surface.

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Negative Landau Damping in Bilayer Graphene

Cited by 77 publications

References 63 publications

Analogues of gravity-induced instabilities in anisotropic metamaterials

Analogues of gravity-induced instabilities in anisotropic metamaterials

Emission of plasmons by drifting Dirac electrons: A hallmark of hydrodynamic transport

Generation of Slow Surface Plasmon Polaritons in a Complex Waveguide Structure with Electric Current Pump

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