Comparison between ultrathin phonon polariton modes in monolayer hexagonal boron nitrides
Keywords:
surface phonon polaritons, hexagonal boron nitrides, skin depth, surface conductivity, ultrathin waveguidesAbstract
The dispersion properties and characteristics of monolayer hexagonal boron nitrides (hBN) supported by transverse magnetic (TM) and transverse electric (TE) phonon polaritons in the air-hBN-air structure have been extensively studied. The analytical results show that the hBN based TM (TE) phonon polaritons exist in Restsrahlen bands when imaginary surface conductivity is positive (negative). The effective mode indexes of TM phonon polaritons are much higher than those of TE phonon polaritons, with respective values of and which makes TM more promising in practical realization. In addition, the propagation length of TE polaritons is less lossy and surpasses that of TM polaritons by factor . This paper compares these important properties and sheds more insight into their applications in photonics and optoelectronic devices.
References
A. Nagashima, N. Tejima, Y. Gamou, T. Kawai, C. Oshima,
“Electronic Structure of Monolayer Hexagonal Boron Nitride Physisorbed on Metal Surfaces,” Phys. Rev. Lett. 1995, 75, p 3918−3921, 1995.
K. Watanabe, T. Taniguchi, and H. Kanda, “Direct-bandgap properties and evidence for ultraviolet lasing of hexagonal boron nitride single crystal,” Nat. Mater. 3, pp. 404–409, 2004.
Y.-N. Xu and W. Y. Ching, “Calculation of ground-state and optical properties of boron nitrides in the hexagonal, cubic, and wurtzite structures,” Phys. Rev. B 44, pp. 7787–7798,1991.
G. Cassabois, P. Valvin, and B. Gil, “Hexagonal boron nitride is an indirect bandgap semiconductor,” Nat. Photon. 10, pp. 262–266, 2016.
K.Watanabe, T. Taniguchi, T. Niiyama, K. Miya, and M. Taniguchi, “Far ultraviolet plane-emission handheld device based on hexagonal boron nitride,” Nat. Photon. 3, pp. 591–594, 2009.
G. Cassabois, P. Valvin, and B. Gil, “Intervalley scattering in hexagonal boron nitride,” Phys. Rev. B 93, p. 035207, 2016.
K. K. Kim, et al “Synthesis of Monolayer Hexagonal Boron Nitride on Cu Foil Using Chemical Vapor Deposition,” Nano Lett. 12, p 161−166, 2012.
Y. Liu, S. Bhowmick, B.I. Yakobson, “BN White Graphene with “Colorful” Edges: The Energies and Morphology,” Nano Lett. 11, p 3113−3116, 2011.
A. Poddubny, I. Iorsh, P. Belov, Y. Kivshar, “Hyperbolic metamaterials” Nat. Photon. 7, 948–957, 2013.
T. Low et al “Polaritons in layered two-dimensional materials” Nat. Materials 16 pp. 182-194, 2017.
S. Dai et al “Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial,” Nat. Nanotech. 10, pp. 682-6, 2015.
D. N. Basov, M. M. Fogler, F. J. García de Abajo, “Polaritons in van der Waals materials,” Science 354 pp. aag1992, 2016.
J. D. Caldwell, et al “Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride,” Nature Commun. 5, 5221, 2014.
S. Dai, et al “Tunable phonon polaritons in atomically thin van der Waals crystals of boron nitride,” Science 343, pp. 1125-1129, 2014.
Woessner A et al “Highly confined low-loss plasmons in graphene–boron nitride heterostructures.” Nat. Mater. 14 pp. 4, 2015.
C. R. Dean, et al “Boron nitride substrates for high-quality graphene electronics,” Nat. Nanotechnol. 5, pp. 722−726, 2010.
J. Xue, et al “Scanning tunnelling microscopy and spectroscopy of ultra-flat graphene on hexagonal boron nitride,” Nat. Mater. 10, pp. 282−285, 2011.
G. Shi, “Boron Nitride−Graphene Nanocapacitor and the Origins of Anomalous Size Dependent Increase of Capacitance,” Nano Lett.14, 1739−1744, 2014.
M. Y. Musa, et al, “Confined transvrese electric phonon polaritons in hexagonal boron nitrides,” 2D Materials, vol. 5, pp. 015018, 2017.
Q. Bao, H. Zhang, B. Wang, Z. Ni, C. H. Y. X. Lim, Y. Wang, D. Y. Tang and K. P. Loh “Broadband graphene polarizer.” Nat. Photonics 5 411-5, 2011.
G. Shkerdin, H. Alkorre, H. Guoqiang and J. H. Stiens “Modified TE modes of metal waveguide with integrated graphene structure in the sub-terahertz frequency range.” IET Microw. Antennas Propag. 10 692-9, 2016
L. Sun, Y. Zhang, Y. Wang, C. Zhang, C. Min, Y. Yang, S. Zhu and X. Yuan “Refractive index mapping of single cells with a graphene-based optical sensor.” Sensors and Actuators B 242 41-6, 2017.
X. Lin, Y. Shen, I. Kaminer, H. Chen and M. Soljacic “Transverse-electric Brewster effect enabled by nonmagnetic two-dimensional materials.” Phys. Rev. A 94 023836, 2017.
S. C. Lee, “Crystal orientation dependence of polarized infrared response of sapphire crystal” Optical Mater. 37 pp. 773-9, 2014.
S. C. Lee “Surface phonon polaritons responses of hexagonal sapphire crystals with non-polar and semi-polar crystallographic planes” Optic Lett. 39 pp. 5467-70, 2014.
