Dyadic Green's Functions for an Anisotropic, Non-Local Model of Biased Graphene

@article{Hanson2008DyadicGF,
  title={Dyadic Green's Functions for an Anisotropic, Non-Local Model of Biased Graphene},
  author={George W. Hanson},
  journal={IEEE Transactions on Antennas and Propagation},
  year={2008},
  volume={56},
  pages={747-757}
}
  • G. Hanson
  • Published 2008
  • Physics
  • IEEE Transactions on Antennas and Propagation
Dyadic Green's functions are presented for an anisotropic surface conductivity model of biased graphene. The graphene surface can be biased using either a perpendicular static electric field, or by a static magnetic field via the Hall effect. The graphene is represented by an infinitesimally-thin, two-sided, non-local anisotropic conductivity surface, and the field is obtained in terms of Sommerfeld integrals. The role of spatial dispersion is accessed, and the effect of various static bias… Expand

Figures from this paper

Dyadic Green's function for the electrically biased graphene-based multilayered spherical structures
Abstract Dyadic Green's function for a multilayered spherical structure with alternating graphene-dielectric shells is extracted in this paper. To this end, the unknown expansion coefficients of theExpand
Analytical Expressions for the Electromagnetic Dyadic Green’s Function in Graphene and Thin Layers
An analytical general analysis of the electromagnetic dyadic Green's function for 2-D sheet (or a very thin film) is presented, with an emphasis on the case of graphene. A modified steepest descentExpand
Time-Domain Green's Function for a Vertical Dipole Above a Graphene Sheet
The three-dimensional potential time-domain Green's function for a vertical electric dipole radiating in vacuum in the presence of a graphene sheet is derived in a semi-analytical form, by assuming aExpand
Non-local models and effects in graphene nanointerconnects
A non-local formulation for the intraband dyadic conductivity of graphene is presented and applied to the study of electromagnetic propagation of modes supported by graphene nanoribbons. AExpand
Propagation of hybrid transverse magnetic-transverse electric plasmons on magnetically biased graphene sheets
The propagation of plasmons on magnetically biased graphene sheets is addressed. The analysis is based on the transverse resonance method extended to handle the graphene conductivity tensor andExpand
Surface plasmons on graphene sheets: Effect of spatial dispersion and magnetostatic bias
We study the characteristics of surface plasmons propagating along graphene sheets, focusing on the effect of spatial dispersion and applied magnetostatic bias, and taking into account the influenceExpand
Dyadic Green’s Function for the Tensor Surface Conductivity Boundary Condition
Dyadic Green’s function (DGF) for the tensor surface conductivity boundary condition (TSCBC) is formulated in this paper. Electrically biased spatially dispersive graphene sheet, densely packedExpand
Non-reciprocal gyrotropy in graphene: New phenomena and applications
The non-reciprocal gyrotropic properties of magnetically biased graphene are presented and subsequent potential applications are proposed. Graphene exhibits strong Faraday rotation at microwaveExpand
Distortion of surface plasmon polariton propagation on graphene due to chemical potential variation
The variation of graphene chemical potential owing to surface plasmon polariton excitation and its influence on the propagation properties of the latter is systematically examined in this paper.Expand
Spatial dispersion effects upon local excitation of extrinsic plasmons in a graphene micro-disk
Excitation of surface plasmon waves in extrinsic graphene is studied using a full-wave electromagnetic field solver as analysis engine. Particular emphasis is placed on the role played by spatialExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 35 REFERENCES
Dyadic Green's functions and guided surface waves for a surface conductivity model of graphene
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 infinitesimallyExpand
Transport of Dirac quasiparticles in graphene: Hall and optical conductivities
The analytical expressions for both diagonal and off-diagonal ac and dc conductivities of graphene placed in an external magnetic field are derived. These conductivities exhibit rather unusualExpand
Magneto-optical conductivity in Graphene
Landau level quantization in graphene reflects the Dirac nature of its quasiparticles and has been found to exhibit an unusual integer quantum Hall effect. In particular the lowest Landau level canExpand
Space-time dispersion of graphene conductivity
Abstract.We present an analytic calculation of the conductivity of pure graphene as a function of frequency ω, wave-vector k, and temperature for the range where the energies related to all theseExpand
Unusual microwave response of dirac quasiparticles in graphene.
TLDR
It is shown that microwaves are an excellent probe of their unusual dynamics and the diagonal and Hall conductivities at small Omega become independent of B but remain nonzero and show a structure associated with the lowest Landau level. Expand
Sum Rules for the Optical and Hall Conductivity in Graphene
Graphene has two atoms per unit cell with quasiparticles exhibiting the Dirac-like behavior. These properties lead to interband in addition to intraband optical transitions and modify the $f$-sumExpand
Electronic properties of disordered two-dimensional carbon
Two-dimensional carbon, or graphene, is a semimetal that presents unusual low-energy electronic excitations described in terms of Dirac fermions. We analyze in a self-consistent way the effects ofExpand
Experimental observation of the quantum Hall effect and Berry's phase in graphene
TLDR
An experimental investigation of magneto-transport in a high-mobility single layer of graphene observes an unusual half-integer quantum Hall effect for both electron and hole carriers in graphene. Expand
Ultrathin epitaxial graphite: 2D electron gas properties and a route toward graphene-based nanoelectronics.
We have produced ultrathin epitaxial graphite films which show remarkable 2D electron gas (2DEG) behavior. The films, composed of typically three graphene sheets, were grown by thermal decompositionExpand
Dyadic Green's Functions for Integrated Electronic and Optical Circuits
Layered structures play an important role in both integrated microwave circuits and optical integrated circuits. Accurate prediction of device behavior requires evaluation of fields in the system. AnExpand
...
1
2
3
4
...