Drift-induced modifications to the dynamical polarization of graphene

Sabbaghi, Mohsen; Lee, Hyun Woo; Stauber, T.; Kim, Kwang S.

doi:10.1103/physrevb.92.195429

Cited by 40 publications

(58 citation statements)

References 89 publications

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“…Therefore, χ yy should be at least positive, justifying Eq. (14). With TRS whereχ xy =χ yx , one can rewrite Eq.…”

Section: Discussionmentioning

confidence: 99%

“…Arguably, the most studied case of chiral plasmonics is the one of magneto-plasmons [3][4][5][6][7][8][9][10][11] , leading to infrared topological plasmons in periodically patterned monolayer graphene 12 and superlattices 13 . Non-reciprocal plasmons can further be obtained by an external source-drain bias [14][15][16] , leading to collimated plasmon beam in the case of large drift current 17 . And a non-trivial Berry curvature of the band-structure can also lead to chiral propagation of the edge mode by appropriately breaking time-reversal symmetry via, e.g., circularly polarized light 18,19 .…”

Section: Introductionmentioning

confidence: 99%

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Unidirectional plasmonic edge modes on general two-dimensional materials

Stauber¹,

Nemilentsau²,

Low³

et al. 2019

2D Mater.

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We investigate the field and spin-momentum coupling of edge plasmons hosted by general twodimensional materials and identify sweet spots depending on the polarisation plane, ellipticity and the position of an electric dipole relative to the plane and edge. Exciting the dipole at these sweet spots by propagating light leads to uni-directional propagating edge plasmons or edge modes suppression. We also extend previous approximate treatments [A. Fetter Phys. Rev. B 32, 7676 (1985)] to include anisotropy and hyperbolic systems, elucidating its predictions for the existence of edge modes. A thorough assessment of the approximate description is carried out, comparing its spin-momentum coupling features in the near field with exact results from Wiener-Hopf techniques. Simulations are also performed confirming the overall picture. Our results shed new light on the quest of chiral plasmonics in 2D materials and should be relevant for future experiments. arXiv:1904.12741v2 [cond-mat.mes-hall]

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“…Therefore, χ yy should be at least positive, justifying Eq. (14). With TRS whereχ xy =χ yx , one can rewrite Eq.…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unidirectional plasmonic edge modes on general two-dimensional materials

Stauber¹,

Nemilentsau²,

Low³

et al. 2019

2D Mater.

View full text Add to dashboard Cite

show abstract

“…The SFD model is a particle-conserving model, meaning that the size of the Fermi disk and therefore, the electron density, n s , are not affected by E DC . This model formulates the NE Fermi energy as follows [5]:…”

Section: B the Shifted Fermi Disk (Sfd) Modelmentioning

confidence: 99%

Electro-optics of current-carrying graphene

2018

Self Cite

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Electro-optical response of a current-carrying monolayer graphene is studied theoretically. Our calculation takes into account full (diagonal and non-diagonal) conductivity tensor obtained from a particle-conserving out-of-equilibrium distribution function of doped graphene. Our analytical and numerical results indicate that the presence of a moderate DC current throughout a doped graphene channel induces large Kerr rotations within a frequency range which can be tuned up to the mid-infrared frequency range.

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“…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]. More accurate studies [26][27][28] revealed no Cerenkov-type instabilities, but were limited to the collisionless case [29].Below we construct the theory of plasmon instabilities in Dirac systems that can handle the subtle issues of Galilean invariance breakdown. Moreover, it is capable to trace the evolution of instabilities across the hydrodynamic-to-ballistic crossover analytically.…”

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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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Drift-induced modifications to the dynamical polarization of graphene

Cited by 40 publications

References 89 publications

Unidirectional plasmonic edge modes on general two-dimensional materials

Unidirectional plasmonic edge modes on general two-dimensional materials

Electro-optics of current-carrying graphene

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

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