Quantum Corrections in Nanoplasmonics: Shape, Scale, and Material
Abstract
The classical treatment of plasmonics is insufficient at the nanometer-scale due to quantum mechanical surface phenomena. Here, an extension of the classical paradigm is reported which rigorously remedies this deficiency through the incorporation of first-principles surface response functions—the Feibelman d parameters—in general geometries. Several analytical results for the leading-order plasmonic quantum corrections are obtained in a first-principles setting; particularly, a clear separation of the roles of shape, scale, and material is established. The utility of the formalism is illustrated by the derivation of a modified sum rule for complementary structures, a rigorous reformulation of Kreibig’s phenomenological damping prescription, and an account of the small-scale resonance shifting of simple and noble metal nanostructures.
- Authors:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
- Univ. Bordeaux, Talence (France); Centre National de la Recherche Scientifique (CNRS), Talence (France)
- Technical Univ. of Denmark, Lyngby (Denmark). Center for Nanostructured Graphene, and Dept. of Micro- and Nanotechnology
- Publication Date:
- Research Org.:
- Energy Frontier Research Centers (EFRC) (United States). Solid-State Solar-Thermal Energy Conversion Center (S3TEC); Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1470504
- Alternate Identifier(s):
- OSTI ID: 1351126
- Grant/Contract Number:
- SC0001299; FG02-09ER46577
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 118; Journal Issue: 15; Related Information: S3TEC partners with Massachusetts Institute of Technology (lead); Boston College; Oak Ridge National Laboratory; Rensselaer Polytechnic Institute; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 74 ATOMIC AND MOLECULAR PHYSICS
Citation Formats
Christensen, Thomas, Yan, Wei, Jauho, Antti-Pekka, Soljačić, Marin, and Mortensen, N. Asger. Quantum Corrections in Nanoplasmonics: Shape, Scale, and Material. United States: N. p., 2017.
Web. doi:10.1103/PhysRevLett.118.157402.
Christensen, Thomas, Yan, Wei, Jauho, Antti-Pekka, Soljačić, Marin, & Mortensen, N. Asger. Quantum Corrections in Nanoplasmonics: Shape, Scale, and Material. United States. https://doi.org/10.1103/PhysRevLett.118.157402
Christensen, Thomas, Yan, Wei, Jauho, Antti-Pekka, Soljačić, Marin, and Mortensen, N. Asger. Tue .
"Quantum Corrections in Nanoplasmonics: Shape, Scale, and Material". United States. https://doi.org/10.1103/PhysRevLett.118.157402. https://www.osti.gov/servlets/purl/1470504.
@article{osti_1470504,
title = {Quantum Corrections in Nanoplasmonics: Shape, Scale, and Material},
author = {Christensen, Thomas and Yan, Wei and Jauho, Antti-Pekka and Soljačić, Marin and Mortensen, N. Asger},
abstractNote = {The classical treatment of plasmonics is insufficient at the nanometer-scale due to quantum mechanical surface phenomena. Here, an extension of the classical paradigm is reported which rigorously remedies this deficiency through the incorporation of first-principles surface response functions—the Feibelman d parameters—in general geometries. Several analytical results for the leading-order plasmonic quantum corrections are obtained in a first-principles setting; particularly, a clear separation of the roles of shape, scale, and material is established. The utility of the formalism is illustrated by the derivation of a modified sum rule for complementary structures, a rigorous reformulation of Kreibig’s phenomenological damping prescription, and an account of the small-scale resonance shifting of simple and noble metal nanostructures.},
doi = {10.1103/PhysRevLett.118.157402},
journal = {Physical Review Letters},
number = 15,
volume = 118,
place = {United States},
year = {Tue Apr 11 00:00:00 EDT 2017},
month = {Tue Apr 11 00:00:00 EDT 2017}
}
Web of Science
Figures / Tables:
Works referenced in this record:
Effective relaxation time in small spheres: Diffuse surface scattering
journal, December 1984
- Apell, P.; Monreal, R.; Flores, F.
- Solid State Communications, Vol. 52, Issue 12
Plasmonic Nanoantennas: Fundamentals and Their Use in Controlling the Radiative Properties of Nanoemitters
journal, June 2011
- Giannini, Vincenzo; Fernández-Domínguez, Antonio I.; Heck, Susannah C.
- Chemical Reviews, Vol. 111, Issue 6
Nonlocal Response of Metallic Nanospheres Probed by Light, Electrons, and Atoms
journal, January 2014
- Christensen, Thomas; Yan, Wei; Raza, Søren
- ACS Nano, Vol. 8, Issue 2
Classical and quantum plasmonics in graphene nanodisks: Role of edge states
journal, December 2014
- Christensen, Thomas; Wang, Weihua; Jauho, Antti-Pekka
- Physical Review B, Vol. 90, Issue 24
First-principles study of surface plasmons on Ag(111) and H/Ag(111)
journal, December 2011
- Yan, Jun; Jacobsen, Karsten W.; Thygesen, Kristian S.
- Physical Review B, Vol. 84, Issue 23
Robust Subnanometric Plasmon Ruler by Rescaling of the Nonlocal Optical Response
journal, June 2013
- Teperik, T. V.; Nordlander, P.; Aizpurua, J.
- Physical Review Letters, Vol. 110, Issue 26
Multipole plasmons and their disappearance in few-nanometre silver nanoparticles
journal, November 2015
- Raza, Søren; Kadkhodazadeh, Shima; Christensen, Thomas
- Nature Communications, Vol. 6, Issue 1
Antennas for light
journal, February 2011
- Novotny, Lukas; van Hulst, Niek
- Nature Photonics, Vol. 5, Issue 2
Blue shift of the Mie plasma frequency in Ag clusters and particles
journal, September 1993
- Tiggesbäumker, Josef; Köller, Lars; Meiwes-Broer, Karl-Heinz
- Physical Review A, Vol. 48, Issue 3
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
A generalized non-local optical response theory for plasmonic nanostructures
journal, May 2014
- Mortensen, N. A.; Raza, S.; Wubs, M.
- Nature Communications, Vol. 5, Issue 1
Comment on ‘‘Surface plasmon dispersion of Ag’’
journal, January 1994
- Feibelman, Peter J.
- Physical Review Letters, Vol. 72, Issue 5
Exchange and correlation in atoms, molecules, and solids by the spin-density-functional formalism
journal, May 1976
- Gunnarsson, O.; Lundqvist, B. I.
- Physical Review B, Vol. 13, Issue 10
Plasmonic Properties of Metallic Nanoparticles: The Effects of Size Quantization
journal, December 2011
- Townsend, Emily; Bryant, Garnett W.
- Nano Letters, Vol. 12, Issue 1
Which resonances in small metallic nanoparticles are plasmonic?
journal, November 2014
- Townsend, Emily; Bryant, Garnett W.
- Journal of Optics, Vol. 16, Issue 11
Dielectric function and plasma resonances of small metal particles
journal, December 1975
- Genzel, L.; Martin, T. P.; Kreibig, U.
- Zeitschrift f�r Physik B Condensed Matter and Quanta, Vol. 21, Issue 4
An embedding approach for surface calculations
journal, March 1984
- Benesh, G. A.; Inglesfield, J. E.
- Journal of Physics C: Solid State Physics, Vol. 17, Issue 9
Blueshift of the surface plasmon resonance in silver nanoparticles studied with EELS
journal, January 2013
- Raza, Søren; Stenger, Nicolas; Kadkhodazadeh, Shima
- Nanophotonics, Vol. 2, Issue 2
The limitation of electron mean free path in small silver particles
journal, August 1969
- Kreibig, U.; Fragstein, C. v.
- Zeitschrift f�r Physik, Vol. 224, Issue 4
Quantum plasmon resonances of individual metallic nanoparticles
journal, March 2012
- Scholl, Jonathan A.; Koh, Ai Leen; Dionne, Jennifer A.
- Nature, Vol. 483, Issue 7390
Ultimate limit of field confinement by surface plasmon polaritons
journal, January 2015
- Khurgin, Jacob B.
- Faraday Discussions, Vol. 178
Ab initio nanoplasmonics: The impact of atomic structure
journal, October 2014
- Zhang, Pu; Feist, Johannes; Rubio, Angel
- Physical Review B, Vol. 90, Issue 16
A Simple Derivation of the Surface Contribution to the Reflectivity of a Metal, and its Use in the Van der Waals Interaction
journal, October 1981
- Apell, P.
- Physica Scripta, Vol. 24, Issue 4
Nonlocal optical response in metallic nanostructures
journal, April 2015
- Raza, Søren; Bozhevolnyi, Sergey I.; Wubs, Martijn
- Journal of Physics: Condensed Matter, Vol. 27, Issue 18
Surface-plasmon dispersion and size dependence of Mie resonance: Silver versus simple metals
journal, October 1993
- Liebsch, A.
- Physical Review B, Vol. 48, Issue 15
Plasmonics for extreme light concentration and manipulation
journal, February 2010
- Schuller, Jon A.; Barnard, Edward S.; Cai, Wenshan
- Nature Materials, Vol. 9, Issue 3
Probing the Ultimate Limits of Plasmonic Enhancement
journal, August 2012
- Ciraci, C.; Hill, R. T.; Mock, J. J.
- Science, Vol. 337, Issue 6098
Influence of the Electron Charge Distribution on Surface-Plasmon Dispersion
journal, January 1970
- Bennett, Alan J.
- Physical Review B, Vol. 1, Issue 1
Quantum mechanical effects in plasmonic structures with subnanometre gaps
journal, June 2016
- Zhu, Wenqi; Esteban, Ruben; Borisov, Andrei G.
- Nature Communications, Vol. 7, Issue 1
Charge-Tunable Quantum Plasmons in Colloidal Semiconductor Nanocrystals
journal, December 2013
- Schimpf, Alina M.; Thakkar, Niket; Gunthardt, Carolyn E.
- ACS Nano, Vol. 8, Issue 1
Surface plasmon excitation of objects with arbitrary shape and dielectric constant
journal, October 1989
- Ouyang, Feng; Isaacson, Michael
- Philosophical Magazine B, Vol. 60, Issue 4
Optical Constants of the Noble Metals
journal, December 1972
- Johnson, P. B.; Christy, R. W.
- Physical Review B, Vol. 6, Issue 12, p. 4370-4379
Nonlocal response in thin-film waveguides: Loss versus nonlocality and breaking of complementarity
journal, September 2013
- Raza, Søren; Christensen, Thomas; Wubs, Martijn
- Physical Review B, Vol. 88, Issue 11
Surface Plasmons and Nonlocality: A Simple Model
journal, August 2013
- Luo, Yu; Fernandez-Dominguez, A. I.; Wiener, Aeneas
- Physical Review Letters, Vol. 111, Issue 9
Theory of Metal Surfaces: Charge Density and Surface Energy
journal, June 1970
- Lang, N. D.; Kohn, W.
- Physical Review B, Vol. 1, Issue 12
Red shift of surface plasmons in small metal particles
journal, December 1982
- Apell, P.; Ljungbert, Å.
- Solid State Communications, Vol. 44, Issue 9
Landau damping of surface plasmons in metal nanostructures
journal, December 2016
- Shahbazyan, Tigran V.
- Physical Review B, Vol. 94, Issue 23
Optical absorption of small metallic particles
journal, June 1985
- Kreibig, U.; Genzel, L.
- Surface Science, Vol. 156
Quantum size effects in the surface-plasmon excitation of small metallic particles by electron-energy-loss spectroscopy
journal, December 1992
- Ouyang, F.; Batson, P. E.; Isaacson, M.
- Physical Review B, Vol. 46, Issue 23
Core Polarization in the Optical Response of Metal Clusters: Generalized Time-Dependent Density-Functional Theory
journal, February 1997
- Serra, Llorenç; Rubio, Angel
- Physical Review Letters, Vol. 78, Issue 8
Green's function surface-integral method for nonlocal response of plasmonic nanowires in arbitrary dielectric environments
journal, October 2013
- Yan, Wei; Mortensen, N. Asger; Wubs, Martijn
- Physical Review B, Vol. 88, Issue 15
Quantum effects and nonlocality in strongly coupled plasmonic nanowire dimers
journal, January 2013
- Teperik, Tatiana V.; Nordlander, Peter; Aizpurua, Javier
- Optics Express, Vol. 21, Issue 22
Fundamental Limits to Extinction by Metallic Nanoparticles
journal, March 2014
- Miller, O. D.; Hsu, C. W.; Reid, M. T. H.
- Physical Review Letters, Vol. 112, Issue 12
Surface plasmon resonances of arbitrarily shaped nanometallic structures in the small-screening-length limit
journal, July 2016
- Schnitzer, Ory; Giannini, Vincenzo; Maier, Stefan A.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 472, Issue 2191
Sum rules for surface plasmon frequencies
journal, September 1996
- Apell, S. P.; Echenique, P. M.; Ritchie, R. H.
- Ultramicroscopy, Vol. 65, Issue 1-2
Surface electronic structure: Embedded self-consistent calculations
journal, April 1988
- Inglesfield, J. E.; Benesh, G. A.
- Physical Review B, Vol. 37, Issue 12
Influence of a polarizable medium on the nonlocal optical response of a metal surface
journal, November 1995
- Liebsch, A.; Schaich, W. L.
- Physical Review B, Vol. 52, Issue 19
Spatial Nonlocality in the Optical Response of Metal Nanoparticles
journal, September 2011
- David, Christin; García de Abajo, F. Javier
- The Journal of Physical Chemistry C, Vol. 115, Issue 40
Optical Properties of Noble Metal Clusters as a Function of the Size: Comparison between Experiments and a Semi-Quantal Theory
journal, February 2006
- Cottancin, E.; Celep, G.; Lermé, J.
- Theoretical Chemistry Accounts, Vol. 116, Issue 4-5
Quantum-Spillover-Enhanced Surface-Plasmonic Absorption at the Interface of Silver and High-Index Dielectrics
journal, November 2015
- Jin, Dafei; Hu, Qing; Neuhauser, Daniel
- Physical Review Letters, Vol. 115, Issue 19
Unusual resonances in nanoplasmonic structures due to nonlocal response
journal, September 2011
- Raza, Søren; Toscano, Giuseppe; Jauho, Antti-Pekka
- Physical Review B, Vol. 84, Issue 12
Revealing the quantum regime in tunnelling plasmonics
journal, November 2012
- Savage, Kevin J.; Hawkeye, Matthew M.; Esteban, Rubén
- Nature, Vol. 491, Issue 7425
Numerical simulation of electron energy loss near inhomogeneous dielectrics
journal, December 1997
- García de Abajo, F. J.; Aizpurua, J.
- Physical Review B, Vol. 56, Issue 24
Size Dependence of the Optical Response of Spherical Sodium Clusters
journal, February 1995
- Reiners, Thomas; Ellert, Christoph; Schmidt, Martin
- Physical Review Letters, Vol. 74, Issue 9
Dynamical screening at simple-metal surfaces
journal, November 1987
- Liebsch, A.
- Physical Review B, Vol. 36, Issue 14
Projected Dipole Model for Quantum Plasmonics
journal, September 2015
- Yan, Wei; Wubs, Martijn; Asger Mortensen, N.
- Physical Review Letters, Vol. 115, Issue 13
Calculation of corrections to Fresnel optics from density response
journal, July 1986
- Kempa, K.; Schaich, W. L.
- Physical Review B, Vol. 34, Issue 2
Quantum plasmonics: from jellium models to ab initio calculations
journal, January 2016
- Varas, Alejandro; García-González, Pablo; Feist, Johannes
- Nanophotonics, Vol. 5, Issue 3
Optical properties of pure and core-shell noble-metal nanoclusters from TDDFT: The influence of the atomic structure
journal, October 2011
- Weissker, H. -Ch.; Mottet, C.
- Physical Review B, Vol. 84, Issue 16
A General Non-Local Theory for the Electromagnetic Response of a Small Metal Particle
journal, August 1982
- Apell, P.; Ljungbert, Å
- Physica Scripta, Vol. 26, Issue 2
The normal modes at the surface of simple metals
journal, May 1991
- Tsuei, K. -D; Plummer, E. W.; Liebsch, A.
- Surface Science, Vol. 247, Issue 2-3
Surface electromagnetic fields
journal, January 1982
- Feibelman, P.
- Progress in Surface Science, Vol. 12, Issue 4
Surface plasmon in metallic nanoparticles: Renormalization effects due to electron-hole excitations
journal, October 2006
- Weick, Guillaume; Ingold, Gert-Ludwig; Jalabert, Rodolfo A.
- Physical Review B, Vol. 74, Issue 16
The Surface Plasmon Resonance of Free and Embedded Ag-Clusters in the Size Range 1,5 nm < D < 30 nm
journal, October 1998
- Charlé, K. -P.; König, L.; Nepijko, S.
- Crystal Research and Technology, Vol. 33, Issue 7-8
The normal modes at the surface of simple metals
journal, May 1990
- Tsuei, K. -D.; Plummer, E. W.; Liebsch, A.
- Surface Science Letters, Vol. 247, Issue 2-3
Plasmonic Properties of Metallic Nanoparticles: The Effects of Size Quantization
conference, January 2011
- Townsend, Emily; Bryant, Garnett W.
- Quantum Electronics and Laser Science Conference, CLEO:2011 - Laser Applications to Photonic Applications
Quantum mechanical effects in plasmonic structures with subnanometre gaps.
journalarticle, January 2016
- Zhu, Wenqi; Esteban, Ruben; Borisov, Andrei G.
- Springer Science and Business Media LLC
Optical absorption of small metallic particles
journal, June 1985
- Kreibig, U.; Genzel, L.
- Surface Science Letters, Vol. 156
Foundations of Potential Theory
journal, December 1930
- Kellogg, O. D.
- Monatshefte für Mathematik und Physik, Vol. 37, Issue 1, p. A40-A41
Graphene plasmonics: A platform for strong light-matter interaction
text, January 2011
- Koppens, Frank H. L.; Chang, Darrick E.; de Abajo, F. Javier Garcia
- arXiv
Blueshift of the surface plasmon resonance in silver nanoparticles studied with EELS
text, January 2012
- Raza, Søren; Stenger, Nicolas; Kadkhodazadeh, Shima
- arXiv
Nonlocal response in thin-film waveguides: loss versus nonlocality and breaking of complementarity
text, January 2013
- Raza, Søren; Christensen, Thomas; Wubs, Martijn
- arXiv
Ab-initio nanoplasmonics: The impact of atomic structure
text, January 2014
- Zhang, Pu; Feist, Johannes; Rubio, Angel
- arXiv
Ultimate limit of field confinement by surface plasmon polaritons
text, January 2014
- Khurgin, Jacob B.
- arXiv
Projected-Dipole Model for Quantum Plasmonics
text, January 2015
- Yan, Wei; Wubs, Martijn; Mortensen, N. Asger
- arXiv
Multipole plasmons and their disappearance in few-nanometer silver nanoparticles
text, January 2015
- Raza, Søren; Kadkhodazadeh, Shima; Christensen, Thomas
- arXiv
Surface-plasmon resonances of arbitrarily shaped nanometallic structures in the small-screening-length limit
text, January 2016
- Schnitzer, Ory; Giannini, Vincenzo; Maier, Stefan A.
- arXiv
Landau damping of surface plasmons in metal nanostructures
text, January 2016
- Shahbazyan, Tigran V.
- arXiv
Surface plasmon in metallic nanoparticles: renormalization effects due to electron-hole excitations
text, January 2006
- Weick, Guillaume; Ingold, Gert-Ludwig; Jalabert, Rodolfo A.
- arXiv
Works referencing / citing this record:
Strong Light–Matter Interactions Enabled by Polaritons in Atomically Thin Materials
journal, January 2020
- Gonçalves, P. A. D.; Stenger, Nicolas; Cox, Joel D.
- Advanced Optical Materials, Vol. 8, Issue 5
Plasmon–emitter interactions at the nanoscale
journal, January 2020
- Gonçalves, P. A. D.; Christensen, Thomas; Rivera, Nicholas
- Nature Communications, Vol. 11, Issue 1
Absence of unidirectionally propagating surface plasmon-polaritons at nonreciprocal metal-dielectric interfaces
journal, February 2020
- Buddhiraju, Siddharth; Shi, Yu; Song, Alex
- Nature Communications, Vol. 11, Issue 1
A general theoretical and experimental framework for nanoscale electromagnetism
journal, December 2019
- Yang, Yi; Zhu, Di; Yan, Wei
- Nature, Vol. 576, Issue 7786
Enhanced ponderomotive force in graphene due to interband resonance
journal, July 2019
- Wolff, C.; Tserkezis, C.; Mortensen, N. Asger
- New Journal of Physics, Vol. 21, Issue 7
Probing the ultimate plasmon confinement limits with a van der Waals heterostructure
journal, April 2018
- Alcaraz Iranzo, David; Nanot, Sébastien; Dias, Eduardo J. C.
- Science, Vol. 360, Issue 6386
On the origin of nonlocal damping in plasmonic monomers and dimers
journal, September 2017
- Tserkezis, Christos; Yan, Wei; Hsieh, Wenting
- International Journal of Modern Physics B, Vol. 31, Issue 24
Plasmonics simulations including nonlocal effects using a boundary element method approach
journal, September 2017
- Trügler, Andreas; Hohenester, Ulrich; García de Abajo, F. Javier
- International Journal of Modern Physics B, Vol. 31, Issue 24
Strong light-matter coupling in quantum chemistry and quantum photonics
journal, September 2018
- Flick, Johannes; Rivera, Nicholas; Narang, Prineha
- Nanophotonics, Vol. 7, Issue 9
Probing graphene’s nonlocality with singular metasurfaces
journal, February 2020
- Galiffi, Emanuele; Huidobro, Paloma A.; Gonçalves, Paulo André D.
- Nanophotonics, Vol. 9, Issue 2
Nonlocal and Size-Dependent Dielectric Function for Plasmonic Nanoparticles
journal, July 2019
- Huang, Kai-Jian; Qin, Shui-Jie; Zhang, Zheng-Ping
- Applied Sciences, Vol. 9, Issue 15
A General Theoretical and Experimental Framework for Nanoscale Electromagnetism
conference, January 2019
- Yang, Yi; Zhu, Di; Yan, Wei
- Frontiers in Optics + Laser Science APS/DLS
Probing the Ultimate Plasmon Confinement Limits with a Van der Waals heterostructure
text, January 2018
- Iranzo, David Alcaraz; Nanot, Sebastien; Dias, Eduardo J. C.
- arXiv
Probing Nonlocal Effects in Metals with Graphene Plasmons
text, January 2018
- Dias, Eduardo J. C.; Iranzo, David Alcaraz; Gonçalves, P. A. D.
- arXiv
Plasmon-Emitter Interactions at the Nanoscale
text, January 2019
- Gonçalves, P. A. D.; Christensen, Thomas; Rivera, Nicholas
- arXiv
Probing Graphene's Nonlocality with Singular Metasurfaces
text, January 2019
- Galiffi, E.; Huidobro, P. A.; Gonçalves, P. A. D.
- arXiv
Figures / Tables found in this record: