Electrodynamics of carbon nanotubes: Dynamic conductivity, impedance boundary conditions, and surface wave propagation

Slepyan, G. Ya.; Maksimenko, S. A.; Lakhtakia, Akhlesh; Yevtushenko, O. M.; Гусаков, А.В.

doi:10.1103/physrevb.60.17136

Cited by 401 publications

(278 citation statements)

References 33 publications

Supporting

Mentioning

256

Contrasting

Unclassified

Order By: Relevance

“…For the case µ c = 0, (3) was first derived in [20] for graphite (with the addition of a factor to account for the interlayer separation between graphene planes), and corresponds to the intraband conductivity of a single-wall carbon nanotube in the limit of infinite radius [10].…”

Section: Electronic Model Of Graphenementioning

confidence: 99%

“…The electromagnetic fields are governed by Maxwell's equations, and the graphene is represented by a conductivity surface [10] that must arise from a microscopic quantum-dynamical model, or from measurement. The method assumes laterally infinite graphene residing at the interface between two dielectrics, in which case classical Maxwell's equations are solved exactly for an arbitrary electrical current.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dyadic Green’s functions and guided surface waves for a surface conductivity model of graphene

Hanson

2008

Journal of Applied Physics

2,540

1,102

View full text Add to dashboard Cite

An exact solution is obtained for the electromagnetic field due to an electric current in the presence of a surface conductivity model of graphene. The graphene is represented by an infinitesimallythin, local and isotropic two-sided conductivity surface. The field is obtained in terms of dyadic Green's functions represented as Sommerfeld integrals. The solution of plane-wave reflection and transmission is presented, and surface wave propagation along graphene is studied via the poles of the Sommerfeld integrals. For isolated graphene characterized by complex surface conductivity σ = σ ′ + jσ ′′ , a proper transverse-electric (TE) surface wave exists if and only if σ ′′ > 0 (associated with interband conductivity), and a proper transverse-magnetic (TM) surface wave exists for σ ′′ < 0 (associated with intraband conductivity). By tuning the chemical potential at infrared frequencies, the sign of σ ′′ can be varied, allowing for some control over surface wave properties.

show abstract

Section: Electronic Model Of Graphenementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Dyadic Green’s functions and guided surface waves for a surface conductivity model of graphene

Hanson

2008

Journal of Applied Physics

2,540

1,102

View full text Add to dashboard Cite

show abstract

“…This model, however, does not take into account the hexagonal lattice of the underlying graphene sheet and the transverse motion quantization. A full quantum-mechanical treatment, including the hexagonal lattice and the transverse quantization, is given in [31], along with a detailed comparison with the spiral model. The comparison shows that the spiral model represents an adequate description of large-radius CNTs and, due to its analytical tractability, can be useful for qualitative estimates.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear coherent magneto-optical response of a single chiral carbon nanotube

Slavcheva

Roussignol

2010

New J. Phys.

View full text Add to dashboard Cite

View the article online for updates and enhancements. Abstract. We propose a theoretical framework and dynamical model for the description of the natural optical activity and Faraday rotation in an individual chiral single-wall carbon nanotube (CNT) in the highly nonlinear coherent regime. The model is based on a discrete-level representation of the optically active states near the band edge. Chirality is modelled by a system Hamiltonian in a four-level basis corresponding to energy-level configurations, specific for each handedness, that are mirror reflections of each other. The axial magnetic field is introduced through the Aharonov-Bohm and Zeeman energylevel shifts. The time evolution of the quantum system, describing a single nanotube with defined chirality, under an ultrashort polarized pulse excitation is studied using the coupled coherent vector Maxwell-pseudospin equations (Slavcheva 2008 Phys. Rev. B 77 115347). We provide an estimate for the effective dielectric constant and the optical dipole matrix element for transitions excited by circularly polarized light in a single nanotube and calculate the magnitude of the circular dichroism and the specific rotatory power in the absence and in the presence of an axial magnetic field. Giant natural gyrotropy (polarization rotatory power ∼3000 • mm −1 (B = 0 T)), superior to that of the crystal birefringent materials, liquid crystals and comparable or exceeding that of the artificially made helical photonic structures, is numerically demonstrated for the specific case of a (5, 4) nanotube. A quantitative estimate of the coherent nonlinear magneto-chiral optical effect in an axial magnetic field is given 3 Authors to whom any correspondence should be addressed. . The model provides a framework for the investigation of the chirality and magnetic field dependence of the ultrafast nonlinear optical response of a single CNT.

show abstract

“…(19) describes other types of driving field too. Namely, substitution k → i k (for real k) transforms the Hankel function into the correspondent Macdonald function K 0 (x), which represents driving the Rabi wave by surface plasmons guided by a noble-metal wire [14], or carbon nanotube [46].…”

Section: The Cylindrical-wave Drivementioning

confidence: 99%

Soliton nanoantennas in two-dimensional arrays of quantum dots

Gligorić¹,

Maluckov²,

Hadžievski³

et al. 2015

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

Abstract. We consider two-dimensional (2D) arrays of self-organized semiconductor quantum dots (QDs) strongly interacting with electromagnetic field in the regime of Rabi oscillations. The QD array built of two-level states is modelled by two coupled systems of discrete nonlinear Schrödinger equations. Localized modes in the form of single-peaked fundamental and vortical stationary Rabi solitons and self-trapped breathers have been found. The results for the stability, mobility and radiative properties of the Rabi modes suggest a concept of a self-assembled 2D soliton-based nano-antenna, which should be stable against imperfections In particular, we discuss the implementation of such a nano-antenna in the form of surface plasmon solitons in graphene, and illustrate possibilities to control their operation by means of optical tools.

show abstract

Electrodynamics of carbon nanotubes: Dynamic conductivity, impedance boundary conditions, and surface wave propagation

Cited by 401 publications

References 33 publications

Dyadic Green’s functions and guided surface waves for a surface conductivity model of graphene

Dyadic Green’s functions and guided surface waves for a surface conductivity model of graphene

Nonlinear coherent magneto-optical response of a single chiral carbon nanotube

Soliton nanoantennas in two-dimensional arrays of quantum dots

Contact Info

Product

Resources

About