Anomalous reflection phase of graphene plasmons and its influence on resonators

Nikitin, Alexey Y.; Low, Tony; Martín‐Moreno, Luis

doi:10.1103/physrevb.90.041407

Cited by 106 publications

(112 citation statements)

References 33 publications

Supporting

Mentioning

101

Contrasting

Unclassified

Order By: Relevance

“…The spectral location of the resonance is strongly tunable as a function of the ribbon width. These frequencies correspond to the solutions of k B w + φ R = nπ , as described earlier but with the constraint that n is an even integer [35]. Odd n solutions are nondipolar modes, hence do not couple with normally incident plane waves.…”

mentioning

confidence: 92%

See 1 more Smart Citation

Chiral plasmon in gapped Dirac systems

et al. 2016

View full text Add to dashboard Cite

We study the electromagnetic response and surface electromagnetic modes in a generic gapped Dirac material under pumping with circularly polarized light. The valley imbalance due to pumping leads to a net Berry curvature, giving rise to a finite transverse conductivity. We discuss the appearance of nonreciprocal chiral edge modes, their hybridization and waveguiding in a nanoribbon geometry, and giant polarization rotation in nanoribbon arrays. DOI: 10.1103/PhysRevB.93.041413 Introduction. The Berry curvature is a topological property of the Bloch energy band and acts as an effective magnetic field in momentum space [1][2][3]. Hence, topological materials may exhibit anomalous Hall-like transverse currents in the presence of an applied electric field, in the absence of a magnetic field. Examples includes topological insulators [4] with propagating surface states that are protected against backscattering from disorder and impurities and transition metal dichalcogenides where the two valleys carry opposite Berry curvature giving rise to bulk topological charge neutral valley currents [5,6]. These bulk topological currents were also experimentally investigated in other Dirac materials, such as a gapped graphene and bilayer graphene system [7,8]. The electromagnetic response of these gapped Dirac systems, particularly that due to its surface electromagnetic modes (i.e., plasmons), are relative unexplored.In gapped graphene or monolayer transition metal dichalcogenides, electrons in the two valleys have opposite Berry curvature, ensured by time-reversal symmetry (TRS) of their chiral Hamiltonians [5]. Hence, far field light scattering properties of these atomically thin systems does not differentiate between circularly polarized light, i.e., zero circular dichroism in the classical sense. Optical pumping with circularly polarized light naturally breaks TRS, and a net planar chirality ensues. However, under typical experimental conditions, the transverse conductivity due to Berry curvature is less than the quantized conductivity e 2 / , and the associated optical dichroism effect is not prominent. These effects, however, can potentially be amplified through enhanced light-matter interaction with plasmons [9][10][11][12][13].In this Rapid Communication, we discuss the emergence of chiral electromagnetic plasmonic modes and their associated optical dichroism effect. We consider a gapped Dirac system under continuous pumping with circularly polarized light. We discuss the appearance of edge chiral plasmons and how they can allow launching of one-way propagating edge plasmons in a semi-infinite geometry. We also consider the hybridization of these chiral edge modes in a nanoribbon geometry and the possibility of nonreciprocal waveguiding. Their far-field optical properties reveal resonant absorption accompanied by sizable polarization rotation.

show abstract

mentioning

confidence: 92%

“…The cutoff frequencies for all except the lowest mode are consistent with the Fabry-Perót condition, k B w + φ R = nπ , where k B is the bulk plasmon momentum in the MDS, as given by Eq. (5), and φ R ≈ −3π/4 is the approximate phase acquired by the plasmon upon reflection from the ribbon edge [35].…”

mentioning

confidence: 99%

Chiral plasmon in gapped Dirac systems

et al. 2016

View full text Add to dashboard Cite

show abstract

“…Figure 2 shows v ex as a function of p ex for different values of n e /n 0 using Eq. (20) and the numerical fit in Eq. (22).…”

Section: Semi-classical Kinetic Modelmentioning

confidence: 99%

“…The linear dielectric response and properties of plasmons in graphene, initially t r e a t e di nR e f s .13 and 14, are an active field of theoretical studies. [15][16][17][18][19][20] The wave frequency of low-energy 2D plasmons is typically proportional to the square root of the wavenumber, and observed 2D plasmons have wave-frequencies most commonly in the THz range or below. The properties of massless Dirac fermions also lead to that the frequency of 2D plasmons in graphene scales as the electron density raised to 1/4, 13,14 in contrast to that of Schr€ odinger electrons 21,22 where the frequency of 2D plasmons scales as the square root of the electron density.…”

Section: Introductionmentioning

confidence: 99%

Semiclassical fluid model of nonlinear plasmons in doped graphene

Eliasson

Liu

2018

Physics of Plasmas

View full text Add to dashboard Cite

A nonlinear fluid model of high-frequency plasmons in doped graphene is derived by taking fluid moments of the semi-classical kinetic equation for the electron gas. As a closure of the fluid moments, adiabatic compression is assumed with a given form of the distribution function, combined with an exact linear response based on the linearized Vlasov-Poisson system. In the linear regime, the model is in the long wavelength limit consistent with previous results using the random phase approximation for a two-dimensional electron gas, while it neglects the short-range interactions between massless Dirac fermions. The fluid model may be used to study the non-linear plasmonic wave mixing and optical coupling to lasers in graphene.

show abstract

“…The plasmon wave vector is related to the ribbon width W via q x ≈ 3π/4W , after accounting for the anomalous reflection phase off the edges [32]. In our case, the proportionality constant in Eq.…”

mentioning

confidence: 99%

Nonlocal electromagnetic response of graphene nanostructures

et al. 2015

View full text Add to dashboard Cite

Nonlocal electromagnetic effects of graphene arise from its naturally dispersive dielectric response. We present semianalytical solutions of nonlocal Maxwell's equations for graphene nanoribbon arrays with features around 100 nm, where we found prominent departures from its local response. Interestingly, the nonlocal corrections are stronger for light polarization parallel to the ribbons, which manifests as an additional broadening of the Drude peak. For the perpendicular polarization case, nonlocal effects lead to blue-shifts of the plasmon peaks. These manifestations provide a physical measure of nonlocal effects, and we quantify their dependence on the ribbon width, doping, and wavelength.

show abstract

Anomalous reflection phase of graphene plasmons and its influence on resonators

Cited by 106 publications

References 33 publications

Chiral plasmon in gapped Dirac systems

Chiral plasmon in gapped Dirac systems

Semiclassical fluid model of nonlinear plasmons in doped graphene

Nonlocal electromagnetic response of graphene nanostructures

Contact Info

Product

Resources

About