Phonon Polaritonics in Two-Dimensional Materials
Abstract
Extreme confinement of electromagnetic energy by phonon polaritons holds the promise of strong and new forms of control over the dynamics of matter. To bring such control to the atomic-scale limit, it is important to consider phonon polaritons in two-dimensional (2D) systems. Recent studies have pointed out that in 2D, splitting between longitudinal and transverse optical (LO and TO) phonons is absent at the Γ point, even for polar materials. Does this lack of LO–TO splitting imply the absence of a phonon polariton in polar monolayers? To answer this, we connect the microscopic phonon properties with the macroscopic electromagnetic response. Specifically, we derive a first-principles expression for the conductivity of a polar monolayer specified by the wave-vector-dependent LO and TO phonon dispersions. In the long-wavelength (local) limit, we find a universal form for the conductivity in terms of the LO phonon frequency at the Γ point, its lifetime, and the group velocity of the LO phonon. Our analysis reveals that the phonon polariton of 2D is simply the LO phonon of the 2D system. For the specific example of hexagonal boron nitride (hBN), we estimate the confinement and propagation losses of the LO phonons, finding that high confinement and reasonablemore »
- Authors:
-
- Harvard Univ., Cambridge, MA (United States); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Harvard Univ., Cambridge, MA (United States)
- Publication Date:
- Research Org.:
- Energy Frontier Research Centers (EFRC) (United States). Photonics at Thermodynamic Limits (PTL); Krell Institute, Ames, IA (United States); Stanford Univ., CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1566555
- Grant/Contract Number:
- FG02-97ER25308; SC0019140
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nano Letters
- Additional Journal Information:
- Journal Volume: 19; Journal Issue: 4; Journal ID: ISSN 1530-6984
- Publisher:
- American Chemical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; optics, phonons; thermal conductivity; charge transport; materials and chemistry by design; mesostructured materials; synthesis (novel materials)
Citation Formats
Rivera, Nicholas, Christensen, Thomas, and Narang, Prineha. Phonon Polaritonics in Two-Dimensional Materials. United States: N. p., 2019.
Web. doi:10.1021/acs.nanolett.9b00518.
Rivera, Nicholas, Christensen, Thomas, & Narang, Prineha. Phonon Polaritonics in Two-Dimensional Materials. United States. https://doi.org/10.1021/acs.nanolett.9b00518
Rivera, Nicholas, Christensen, Thomas, and Narang, Prineha. Thu .
"Phonon Polaritonics in Two-Dimensional Materials". United States. https://doi.org/10.1021/acs.nanolett.9b00518. https://www.osti.gov/servlets/purl/1566555.
@article{osti_1566555,
title = {Phonon Polaritonics in Two-Dimensional Materials},
author = {Rivera, Nicholas and Christensen, Thomas and Narang, Prineha},
abstractNote = {Extreme confinement of electromagnetic energy by phonon polaritons holds the promise of strong and new forms of control over the dynamics of matter. To bring such control to the atomic-scale limit, it is important to consider phonon polaritons in two-dimensional (2D) systems. Recent studies have pointed out that in 2D, splitting between longitudinal and transverse optical (LO and TO) phonons is absent at the Γ point, even for polar materials. Does this lack of LO–TO splitting imply the absence of a phonon polariton in polar monolayers? To answer this, we connect the microscopic phonon properties with the macroscopic electromagnetic response. Specifically, we derive a first-principles expression for the conductivity of a polar monolayer specified by the wave-vector-dependent LO and TO phonon dispersions. In the long-wavelength (local) limit, we find a universal form for the conductivity in terms of the LO phonon frequency at the Γ point, its lifetime, and the group velocity of the LO phonon. Our analysis reveals that the phonon polariton of 2D is simply the LO phonon of the 2D system. For the specific example of hexagonal boron nitride (hBN), we estimate the confinement and propagation losses of the LO phonons, finding that high confinement and reasonable propagation quality factors coincide in regions that may be difficult to detect with current near-field optical microscopy techniques. Finally, we study the interaction of external emitters with 2D hBN nanostructures, finding an extreme enhancement of spontaneous emission due to coupling with localized 2D phonon polaritons and the possibility of multimode strong and ultrastrong coupling between an external emitter and hBN phonons. This may lead to the design of new hybrid states of electrons and phonons based on strong coupling.},
doi = {10.1021/acs.nanolett.9b00518},
journal = {Nano Letters},
number = 4,
volume = 19,
place = {United States},
year = {2019},
month = {3}
}
Web of Science
Works referenced in this record:
Low-Loss, Extreme Subdiffraction Photon Confinement via Silicon Carbide Localized Surface Phonon Polariton Resonators
journal, July 2013
- Caldwell, Joshua D.; Glembocki, Orest J.; Francescato, Yan
- Nano Letters, Vol. 13, Issue 8
Mid-infrared Polaritonic Coupling between Boron Nitride Nanotubes and Graphene
journal, November 2014
- Xu, Xiaoji G.; Jiang, Jian-Hua; Gilburd, Leonid
- ACS Nano, Vol. 8, Issue 11
Sub-diffractional volume-confined polaritons in the natural hyperbolic material hexagonal boron nitride
journal, October 2014
- Caldwell, Joshua D.; Kretinin, Andrey V.; Chen, Yiguo
- Nature Communications, Vol. 5, Issue 1
Tunable Phonon Polaritons in Atomically Thin van der Waals Crystals of Boron Nitride
journal, March 2014
- Dai, S.; Fei, Z.; Ma, Q.
- Science, Vol. 343, Issue 6175
Accessing Phonon Polaritons in Hyperbolic Crystals by Angle-Resolved Photoemission Spectroscopy
journal, August 2015
- Tomadin, Andrea; Principi, Alessandro; Song, Justin C. W.
- Physical Review Letters, Vol. 115, Issue 8
Direct observation of ultraslow hyperbolic polariton propagation with negative phase velocity
journal, September 2015
- Yoxall, Edward; Schnell, Martin; Nikitin, Alexey Y.
- Nature Photonics, Vol. 9, Issue 10
Hyperbolic phonon-polaritons in boron nitride for near-field optical imaging and focusing
journal, June 2015
- Li, Peining; Lewin, Martin; Kretinin, Andrey V.
- Nature Communications, Vol. 6, Issue 1
Subdiffractional focusing and guiding of polaritonic rays in a natural hyperbolic material
journal, April 2015
- Dai, S.; Ma, Q.; Andersen, T.
- Nature Communications, Vol. 6, Issue 1
Graphene on hexagonal boron nitride as a tunable hyperbolic metamaterial
journal, June 2015
- Dai, S.; Ma, Q.; Liu, M. K.
- Nature Nanotechnology, Vol. 10, Issue 8
Low-loss, infrared and terahertz nanophotonics using surface phonon polaritons
journal, January 2015
- Caldwell, Joshua D.; Lindsay, Lucas; Giannini, Vincenzo
- Nanophotonics, Vol. 4, Issue 1
Reversible optical switching of highly confined phonon–polaritons with an ultrathin phase-change material
journal, May 2016
- Li, Peining; Yang, Xiaosheng; Maß, Tobias W. W.
- Nature Materials, Vol. 15, Issue 8
Polaritons in van der Waals materials
journal, October 2016
- Basov, D. N.; Fogler, M. M.; Garcia de Abajo, F. J.
- Science, Vol. 354, Issue 6309
Towards properties on demand in quantum materials
journal, October 2017
- Basov, D. N.; Averitt, R. D.; Hsieh, D.
- Nature Materials, Vol. 16, Issue 11
Polaritons in layered two-dimensional materials
journal, November 2016
- Low, Tony; Chaves, Andrey; Caldwell, Joshua D.
- Nature Materials, Vol. 16, Issue 2
Ultralow-loss polaritons in isotopically pure boron nitride
journal, December 2017
- Giles, Alexander J.; Dai, Siyuan; Vurgaftman, Igor
- Nature Materials, Vol. 17, Issue 2
Infrared hyperbolic metasurface based on nanostructured van der Waals materials
journal, February 2018
- Li, Peining; Dolado, Irene; Alfaro-Mozaz, Francisco Javier
- Science, Vol. 359, Issue 6378
In-plane anisotropic and ultra-low-loss polaritons in a natural van der Waals crystal
journal, October 2018
- Ma, Weiliang; Alonso-González, Pablo; Li, Shaojuan
- Nature, Vol. 562, Issue 7728
Boron nitride nanoresonators for phonon-enhanced molecular vibrational spectroscopy at the strong coupling limit
journal, December 2017
- Autore, Marta; Li, Peining; Dolado, Irene
- Light: Science & Applications, Vol. 7, Issue 4
Phonon-enhanced light–matter interaction at the nanometre scale
journal, July 2002
- Hillenbrand, R.; Taubner, T.; Keilmann, F.
- Nature, Vol. 418, Issue 6894
Tunable Light–Matter Interaction and the Role of Hyperbolicity in Graphene–hBN System
journal, April 2015
- Kumar, Anshuman; Low, Tony; Fung, Kin Hung
- Nano Letters, Vol. 15, Issue 5
Making two-photon processes dominate one-photon processes using mid-IR phonon polaritons
journal, December 2017
- Rivera, Nicholas; Rosolen, Gilles; Joannopoulos, John D.
- Proceedings of the National Academy of Sciences, Vol. 114, Issue 52
Control of semiconductor emitter frequency by increasing polariton momenta
journal, June 2018
- Kurman, Yaniv; Rivera, Nicholas; Christensen, Thomas
- Nature Photonics, Vol. 12, Issue 7
Strong light-matter coupling in quantum chemistry and quantum photonics
journal, September 2018
- Flick, Johannes; Rivera, Nicholas; Narang, Prineha
- Nanophotonics, Vol. 7, Issue 9
Ultra-confined surface phonon polaritons in molecular layers of van der Waals dielectrics
journal, May 2018
- Dubrovkin, Alexander M.; Qiang, Bo; Krishnamoorthy, Harish N. S.
- Nature Communications, Vol. 9, Issue 1
Calculating excitons, plasmons, and quasiparticles in 2D materials and van der Waals heterostructures
journal, June 2017
- Thygesen, Kristian Sommer
- 2D Materials, Vol. 4, Issue 2
Vibrational properties of single-wall nanotubes and monolayers of hexagonal BN
journal, December 2002
- Sánchez-Portal, D.; Hernández, E.
- Physical Review B, Vol. 66, Issue 23
Electric Polarization of Heteropolar Nanotubes as a Geometric Phase
journal, January 2002
- Mele, E. J.; Král, Petr
- Physical Review Letters, Vol. 88, Issue 5
Vibrational Properties of Hexagonal Boron Nitride: Inelastic X-Ray Scattering and Ab Initio Calculations
journal, March 2007
- Serrano, J.; Bosak, A.; Arenal, R.
- Physical Review Letters, Vol. 98, Issue 9
Breakdown of Optical Phonons’ Splitting in Two-Dimensional Materials
journal, May 2017
- Sohier, Thibault; Gibertini, Marco; Calandra, Matteo
- Nano Letters, Vol. 17, Issue 6
Plasmonics in graphene at infrared frequencies
journal, December 2009
- Jablan, Marinko; Buljan, Hrvoje; Soljačić, Marin
- Physical Review B, Vol. 80, Issue 24
Dispersion and Damping of a Two-Dimensional Plasmon in a Metallic Surface-State Band
journal, June 2001
- Nagao, Tadaaki; Hildebrandt, Torsten; Henzler, Martin
- Physical Review Letters, Vol. 86, Issue 25
Optical excitations in electron microscopy
journal, February 2010
- García de Abajo, F. J.
- Reviews of Modern Physics, Vol. 82, Issue 1
Low-energy acoustic plasmons at metal surfaces
journal, July 2007
- Diaconescu, Bogdan; Pohl, Karsten; Vattuone, Luca
- Nature, Vol. 448, Issue 7149
Probing low-energy hyperbolic polaritons in van der Waals crystals with an electron microscope
journal, July 2017
- Govyadinov, Alexander A.; Konečná, Andrea; Chuvilin, Andrey
- Nature Communications, Vol. 8, Issue 1
Graphene Plasmonics: A Platform for Strong Light–Matter Interactions
journal, August 2011
- Koppens, Frank H. L.; Chang, Darrick E.; García de Abajo, F. Javier
- Nano Letters, Vol. 11, Issue 8
Shrinking light to allow forbidden transitions on the atomic scale
journal, July 2016
- Rivera, Nicholas; Kaminer, Ido; Zhen, Bo
- Science, Vol. 353, Issue 6296
Infrared Topological Plasmons in Graphene
journal, June 2017
- Jin, Dafei; Christensen, Thomas; Soljačić, Marin
- Physical Review Letters, Vol. 118, Issue 24
Macroscopic quantum electrodynamics - Concepts and applications
journal, October 2008
- Scheel, Stefan; Buhmann, Stefan
- Acta Physica Slovaca. Reviews and Tutorials, Vol. 58, Issue 5
Ultralight Angstrom-Scale Optimal Optical Reflectors
journal, November 2017
- Papadakis, Georgia T.; Narang, Prineha; Sundararaman, Ravishankar
- ACS Photonics, Vol. 5, Issue 2
Theoretical predictions for hot-carrier generation from surface plasmon decay
journal, December 2014
- Sundararaman, Ravishankar; Narang, Prineha; Jermyn, Adam S.
- Nature Communications, Vol. 5, Issue 1
Dynamics and Spin-Valley Locking Effects in Monolayer Transition Metal Dichalcogenides
journal, August 2018
- Ciccarino, Christopher J.; Christensen, Thomas; Sundararaman, Ravishankar
- Nano Letters, Vol. 18, Issue 9
Works referencing / citing this record:
Polariton Photonics Using Structured Metals and 2D Materials
journal, October 2019
- Cai, Ziqiang; Xu, Yihao; Wang, Chuangtang
- Advanced Optical Materials, Vol. 8, Issue 5
Probing Polaritons in 2D Materials with Synchrotron Infrared Nanospectroscopy
journal, December 2019
- Barcelos, Ingrid D.; Bechtel, Hans A.; de Matos, Christiano J. S.
- Advanced Optical Materials, Vol. 8, Issue 5
Three-dimensional near-field analysis through peak force scattering-type near-field optical microscopy
journal, January 2020
- Wang, Haomin; Li, Jiahan; Edgar, James H.
- Nanoscale, Vol. 12, Issue 3
Three-dimensional Near-field Analysis Through Peak Force Scattering-type Near-field Optical Microscopy
preprint, January 2019
- Wang, Haomin; Li, Jiahan; Edgar, James H.
- arXiv