Effects of optical polarization on hybridization of radiative and evanescent field modes

Iurov, Andrii; Huang, Danhong; Gumbs, Godfrey; Pan, W.; Maradudin, A. A.

doi:10.1103/physrevb.96.081408

Cited by 21 publications

(21 citation statements)

References 45 publications

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“…The peculiarities of DOS in TMDCs beyond the Dirac approximations are discussed in [28,29]. The quadratic part of the Hamiltonian (7) results in the curving of the linear in energy pieces seen in Fig.…”

Section: Entropy Per Particlementioning

confidence: 99%

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Entropy per particle spikes in the transition metal dichalcogenides

Shubnyi

Gusynin

Sharapov

et al. 2018

Low Temperature Physics

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We derive a general expression for the entropy per particle as a function of chemical potential, temperature and gap magnitude for the single layer transition metal dichalcogenides. The electronic excitations in these materials can be approximately regarded as two species of the massive or gapped Dirac fermions. Inside the smaller gap there is a region with zero density of states where the dependence of the entropy per particle on the chemical potential exhibits a huge dip-and-peak structure. The edge of the larger gap is accompanied by the discontinuity of the density of states that results in the peak in the dependence of the entropy per particle on the chemical potential. The specificity of the transition metal dichalcogenides makes possible the observation of these features at rather high temperatures order of 100 K. The influence of the uniaxial strain on the entropy per particle is discussed.

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Section: Entropy Per Particlementioning

confidence: 99%

“…Its generalization for the lowbuckled Dirac materials was made in [5] (see also [31]). The expression for the particle density in TMDCs beyond the Dirac approximation is discussed in [29], but it is not very practical for obtaining the derivative ∂µ/∂T . Differentiating Eq.…”

Section: Entropy Per Particlementioning

confidence: 99%

Entropy per particle spikes in the transition metal dichalcogenides

Shubnyi

Gusynin

Sharapov

et al. 2018

Low Temperature Physics

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show abstract

“…The peculiarities of DOS in TMDCs beyond the Dirac approximations are discussed in [63,64]. The quadratic part of the Hamiltonian (36) results in the curving of the electronic dispersion seen in Fig.…”

Section: Entropy Per Particle In Transition Metal Dichalcogenidesmentioning

confidence: 99%

“…Its generalization for the low-buckled Dirac materials was made in [18] (see also [65]). The expression for the particle density in TMDCs beyond the Dirac approximation is discussed in [64], but it is not very practical for obtaining the derivative ∂µ/∂T .…”

Section: Entropy Per Particle In Transition Metal Dichalcogenidesmentioning

confidence: 99%

Entropy Signatures of Topological Phase Transitions

Galperin

Grassano

Gusynin

et al. 2018

J. Exp. Theor. Phys.

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We review the behavior of the entropy per particle in various two-dimensional electronic systems. The entropy per particle is an important characteristic of any many body system that tells how the entropy of the ensemble of electrons changes if one adds one more electron. Recently, it has been demonstrated how the entropy per particle of a two-dimensional electron gas can be extracted from the recharging current dynamics in a planar capacitor geometry. These experiments pave the way to the systematic studies of entropy in various crystal systems including novel two-dimensional crystals such as gapped graphene, germanene and silicene. Theoretically, the entropy per particle is linked to the temperature derivative of the chemical potential of the electron gas by the Maxwell relation. Using this relation, we calculate the entropy per particle in the vicinity of topological transitions in various two-dimensional electronic systems. We show that the entropy experiences quantized steps at the points of Lifshitz transitions in a two-dimensional electronic gas with a parabolic energy spectrum. In contrast, in doubled-gapped Dirac materials, the entropy per particles demonstrates characteristic spikes once the chemical potential passes through the band edges. The transition from a topological to trivial insulator phase in germanene is manifested by the disappearance of a strong zero-energy resonance in the entropy per particle dependence on the chemical potential. We conclude that studies of the entropy per particle shed light on multiple otherwise hidden peculiarities of the electronic band structure of novel two-dimensional crystals. CONTENTS

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“…1, we are faced with both radiative field modes, such as photons and polaritons [15][16][17][18][19] , and evanescent field modes, e.g., surface and graphene plasmons [20][21][22][23] . Research on the optical response of graphene electrons has been previously reported 6,23,24 , but most of those studies have been concerned with the effect due to radiation or grating-deflection field coupling. In contrast to the plane-wavelike light field, we examine the role of coupling by a surface-plasmon-polariton (SPP) near field [25][26][27] to graphene electrons with a different dispersion relation from the usual linear one, i.e., ω = qc, for light in free-space.…”

Section: Introductionmentioning

confidence: 99%

Role of electron back action on photons in hybridizing double-layer graphene plasmons with localized photons

Huang¹,

Iurov²,

Gumbs³

2018

J. Phys.: Condens. Matter

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In this paper, we deal with the electromagnetic coupling between an incident surface-plasmon-polariton wave and relativistic electrons in two graphene layers. Our previous investigation was limited to single-layer graphene (Iurov et al 2017 Phys. Rev. B 96 081408). However, the present work, is both an expanded and extended version of this previous Phys. Rev. B paper after having included very detailed theoretical formalisms and extensive comparisons of results from either one or two graphene layers embedded in a dielectric medium. The additional retarded Coulomb interaction between two graphene layers will compete with the coupling between the single graphene layer and the surface of a conductor. Consequently, some distinctive features, such as triply-hybridized absorption peaks and a new acoustic-like graphene plasmon mode within the anticrossing region, have been found for the double-layer graphene system. Physically, our theory is self-consistent, in comparison with a commonly adopted perturbative theory, for studying hybrid light-plasmon modes and the electron back action on photons. Instead of usual radiation or grating-deflection field coupling, a surface-plasmon-polariton localized field coupling is introduced with completely different dispersion relations for radiative (small wave numbers) and evanescent (large wave numbers) field modes. Technically, the exactly calculated effective scattering matrix for this theory can be employed to construct an effective-medium theory in order to improve the accuracy of the well-known finite-difference time-domain method for solving Maxwell's equations numerically. Practically, the predicted triply-hybridized absorption peaks can excite polaritons only, giving rise to a possible polariton-condensation based laser.

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Effects of optical polarization on hybridization of radiative and evanescent field modes

Cited by 21 publications

References 45 publications

Entropy per particle spikes in the transition metal dichalcogenides

Entropy per particle spikes in the transition metal dichalcogenides

Entropy Signatures of Topological Phase Transitions

Role of electron back action on photons in hybridizing double-layer graphene plasmons with localized photons

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