Dynamical polarization function, plasmons, and screening in silicene and other buckled honeycomb lattices

Tabert, C. J.; Nicol, E. J.

doi:10.1103/physrevb.89.195410

Cited by 98 publications

(193 citation statements)

References 49 publications

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“…Specifically, we consider anisotropic massless Dirac particles, which could be observed in special few-layer (N L > 5) black phosphorus superlattices for a narrow range of energies. (25) leads to the following energy dispersion…”

Section: Anisotropic Massless Fermions In Few-layer Phosphorusmentioning

confidence: 99%

“…The latter one, ∆ z is directly modified by an external electrostatic field. [22][23][24][25] This is a result of the out-of plane buckling, which is due to a larger radius of Si and Ge atoms compared to carbon and sp 3 hybridization. The most recently fabricated germanene possesses similar buckling features but with different bandgaps and Fermi velocity.…”

Section: Introductionmentioning

confidence: 99%

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Exploring interacting Floquet states in black phosphorus: Anisotropy and bandgap laser tuning

Iurov

Zhemchuzhna

Gumbs

et al. 2017

Journal of Applied Physics

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The dressed states arising from the interaction between electrons and holes, and off-resonant electromagnetic radiation have been investigated for recently fabricated gapped and anisotropic black phosphorus. Our calculations were carried out for the low-energy electronic subbands near the Γ point. States for both linear and circular polarizations of the incoming radiation have been computed. However, our principal emphasis is on linearly polarized light with arbitrary polarization since this case has not been given much attention for dressing fields imposed on anisotropic structures. We have considered various cases for one-and few-layer phosphorus, including massless Dirac fermions with tunable in-plane anisotropy. Initial Hamiltonian parameters are renormalized in a largely different way compared to those for previously reported for gapped Dirac structures and, most importantly, existing anisotropy which could be modified in every direction.

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Section: Anisotropic Massless Fermions In Few-layer Phosphorusmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Exploring interacting Floquet states in black phosphorus: Anisotropy and bandgap laser tuning

Iurov

Zhemchuzhna

Gumbs

et al. 2017

Journal of Applied Physics

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“…1(a) and 1(b). The buckling of the atoms creates potential difference between two sublattices when an external electric field is applied in the direction perpendicular to the surface [17][18][19][20] . The induced potential difference, along with the non-negligible spin orbit (SO) coupling in silicene, will give a tunable energy gap 17,18,20,22 .…”

mentioning

confidence: 99%

“…In this letter, we propose that silicene is a better 2D material rather than graphene to support the TE surface wave. Silicene is a monolayer of silicon atoms arranged in honeycomb lattice and the stable structure of silicene is not purely planar, but slightly buckled [17][18][19][20] , i.e., the two sublattices are separated by vertical distance d = 0.46Å due to the sp 3 -like hybridization 20,21 . The schematic structure of silicene can be seen in Figs.…”

mentioning

confidence: 99%

“…The buckling of the atoms creates potential difference between two sublattices when an external electric field is applied in the direction perpendicular to the surface 17-20 . The induced potential difference, along with the non-negligible spin orbit (SO) coupling in silicene, will give a tunable energy gap 17,18,20,22 . We will show that the tunable energy gap of silicene affects a unique optical conductivity and the properties of TE surface wave which makes it a key difference from graphene.…”

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confidence: 99%

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Broadband transverse electric surface wave in silicene

Ukhtary

Nugraha

Hasdeo

et al. 2016

Applied Physics Letters

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Transverse electric (TE) surface wave in silicine is theoretically investigated. The TE surface wave in silicene is found to exhibit better characteristics compared with that in graphene, in terms of a broader frequency range and more confinement to the surface which originate from the buckled structure of silicene. We found that even undoped silicene can support the TE surface wave. We expect to obtain the similar characteristics of the TE surface wave in other two-dimensional materials that have slightly buckled honeycomb lattice.PACS numbers: 72.20. Pa,73.50.Lw Surface electromagnetic waves, or simply surface waves are electromagnetic (EM) waves that propagate on the surface of a material 1 . Surface waves recently have attracted a lot of interest, because of their capability to transport the EM energy on the surface 1-6 . There are two kinds of surface waves based on their polarizations; the transverse magnetic (TM) and transverse electric (TE) surface waves. In the case of TM surface wave, the component of magnetic field is transverse to the propagation direction, while the electric field has a component parallel to the propagation direction. The TM surface wave that also refers to a surface plasmon, can be seen as an electric dipole wave on the surface of material due to spatial perturbation of charge density 7,8 . On the other hand, the TE surface wave has the component of electric field transverse to the propagation direction while the magnetic field has a component parallel to the direction of propagation. The TE surface wave can be seen as a magnetic dipole wave on the surface of material due to the self-sustained surface current oscillation 7,8 .It is important to note that the radiation loss of magnetic dipole is much smaller than that of electric dipole 9 . Therefore, the TE surface wave can propagate longer than TM surface wave 10,11 , which makes the TE surface wave desirable for the transporting EM energy over long distance 7,11 . However, the TE surface wave cannot exist on the surface of an conventional bulk metal because condition for generating the TE mode is limited which means that the induced surface current is not available in the conventional bulk metal 1,2,7,12 . Some efforts have been made for designing artificial materials so that the TE surface wave can be generated, such as metamaterials and a cluster of nanoparticles, which are generally complicated, hence making them less viable and accessible 3,7,11,13 .The difficulties of generating the TE surface wave can be alleviated by using two-dimensional (2D) materials such like graphene, which is a monolayer of carbon atoms arranged in honeycomb lattice 14,15 . Mikhailov and Ziegler have shown that, when the imaginary part of optical conductivity of 2D material is negative (posi- tive), the TE (TM) surface wave can propagate on the surface of the 2D materials 15 . Due to the presence of the Dirac cone in its electronic structure, the imaginary part of optical conductivity of graphene can be negative at a certain frequency range. This ...

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