Observation of a Luttinger-liquid plasmon in metallic single-walled carbon nanotubes

Shi, Zhiwen; Hong, Xiaoping; Bechtel, Hans A.; Zeng, Bo; Martin, Michael C.; Watanabe, Kenji; Taniguchi, Takashi; Shen, Yuen-Ron; Wang, Feng

doi:10.1038/nphoton.2015.123

Title: Observation of a Luttinger-liquid plasmon in metallic single-walled carbon nanotubes

Journal Article · Mon Jul 20 00:00:00 EDT 2015 · Nature Photonics

DOI:https://doi.org/10.1038/nphoton.2015.123· OSTI ID:1642663

Shi, Zhiwen ^[1]; Hong, Xiaoping ^[1]; Bechtel, Hans A. ^[2]; Zeng, Bo ^[1];

^[2];

^[3]; Taniguchi, Takashi ^[3]; Shen, Yuen-Ron ^[4]; Wang, Feng ^[5]

Univ. of California, Berkeley, CA (United States). Dept. of Physics
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)
National Inst. for Materials Science (NIMS), Tsukuba (Japan). Advanced Materials Laboratory
Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division
Univ. of California, Berkeley, CA (United States). Dept. of Physics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Materials Sciences Division; Kavli Energy NanoScience Institute, Berkeley, CA (United States)

Surface plasmons, collective oscillations of conduction electrons, hold great promise for the nanoscale integration of photonics and electronics. However, nanophotonic circuits based on plasmons have been significantly hampered by the difficulty in achieving broadband plasmonic waveguides that simultaneously exhibit strong spatial confinement, a high quality factor and low dispersion. Quantum plasmons, where the quantum mechanical effects of electrons play a dominant role, such as plasmons in very small metal nanoparticles and plasmons affected by tunnelling effects, can lead to novel plasmonic phenomena in nanostructures. Here, we show that a Luttinger liquid of one-dimensional Dirac electrons in carbon nanotubes exhibits quantum plasmons that behave qualitatively differently from classical plasmon excitations. The Luttinger-liquid plasmons propagate at ‘quantized’ velocities that are independent of carrier concentration or excitation wavelength, and simultaneously exhibit extraordinary spatial confinement and high quality factor. Such Luttinger-liquid plasmons could enable novel low-loss plasmonic circuits for the subwavelength manipulation of light.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). Advanced Light Source (ALS)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)

Grant/Contract Number:: AC02-05CH11231; SC0003949; DMR-1404865

OSTI ID:: 1642663

Journal Information:: Nature Photonics, Vol. 9, Issue 8; ISSN 1749-4885

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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References (33)

Scaling of Resistance and Electron Mean Free Path of Single-Walled Carbon Nanotubes Purewal, Meninder S.; Hong, Byung Hee; Ravi, Anirudhh Physical Review Letters, Vol. 98, Issue 18 https://doi.org/10.1103/PhysRevLett.98.186808	journal	May 2007
One-dimensional Fermi liquids Voit, J. Reports on Progress in Physics, Vol. 58, Issue 9 https://doi.org/10.1088/0034-4885/58/9/002	journal	September 1995
Sorting carbon nanotubes by electronic structure using density differentiation Arnold, Michael S.; Green, Alexander A.; Hulvat, James F. Nature Nanotechnology, Vol. 1, Issue 1, p. 60-65 https://doi.org/10.1038/nnano.2006.52	journal	October 2006
Low-Loss Plasmonic Metamaterials Boltasseva, A.; Atwater, H. A. Science, Vol. 331, Issue 6015, p. 290-291 https://doi.org/10.1126/science.1198258	journal	January 2011
Surface plasmon subwavelength optics Barnes, William L.; Dereux, Alain; Ebbesen, Thomas W. Nature, Vol. 424, Issue 6950, p. 824-830 https://doi.org/10.1038/nature01937	journal	August 2003
Quantum plasmon resonances of individual metallic nanoparticles Scholl, Jonathan A.; Koh, Ai Leen; Dionne, Jennifer A. Nature, Vol. 483, Issue 7390 https://doi.org/10.1038/nature10904	journal	March 2012
Plasmonics for extreme light concentration and manipulation Schuller, Jon A.; Barnard, Edward S.; Cai, Wenshan Nature Materials, Vol. 9, Issue 3 https://doi.org/10.1038/nmat2630	journal	February 2010
Electron−Phonon Scattering in Metallic Single-Walled Carbon Nanotubes Park, Ji-Yong; Rosenblatt, Sami; Yaish, Yuval Nano Letters, Vol. 4, Issue 3 https://doi.org/10.1021/nl035258c	journal	March 2004
Plasmonics beyond the diffraction limit Gramotnev, Dmitri K.; Bozhevolnyi, Sergey I. Nature Photonics, Vol. 4, Issue 2, p. 83-91 https://doi.org/10.1038/nphoton.2009.282	journal	January 2010
An Exactly Soluble Model of a Many‐Fermion System Luttinger, J. M. Journal of Mathematical Physics, Vol. 4, Issue 9 https://doi.org/10.1063/1.1704046	journal	September 1963
Phase-Resolved Surface Plasmon Interferometry of Graphene Gerber, Justin A.; Berweger, Samuel; O’Callahan, Brian T. Physical Review Letters, Vol. 113, Issue 5 https://doi.org/10.1103/PhysRevLett.113.055502	journal	July 2014
Luttinger-liquid behaviour in carbon nanotubes Bockrath, Marc; Cobden, David H.; Lu, Jia Nature, Vol. 397, Issue 6720 https://doi.org/10.1038/17569	journal	February 1999
Effective Low-Energy Theory for Correlated Carbon Nanotubes Egger, Reinhold; Gogolin, Alexander O. Physical Review Letters, Vol. 79, Issue 25 https://doi.org/10.1103/PhysRevLett.79.5082	journal	December 1997
Disorder, Pseudospins, and Backscattering in Carbon Nanotubes McEuen, Paul L.; Bockrath, Marc; Cobden, David H. Physical Review Letters, Vol. 83, Issue 24 https://doi.org/10.1103/PhysRevLett.83.5098	journal	December 1999
Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes Kane, Charles; Balents, Leon; Fisher, Matthew P. A. Physical Review Letters, Vol. 79, Issue 25 https://doi.org/10.1103/PhysRevLett.79.5086	journal	December 1997
High-throughput optical imaging and spectroscopy of individual carbon nanotubes in devices Liu, Kaihui; Hong, Xiaoping; Zhou, Qin Nature Nanotechnology, Vol. 8, Issue 12 https://doi.org/10.1038/nnano.2013.227	journal	November 2013
Ballistic carbon nanotube field-effect transistors Javey, Ali; Guo, Jing; Wang, Qian Nature, Vol. 424, Issue 6949, p. 654-657 https://doi.org/10.1038/nature01797	journal	August 2003
Quantum Plasmon Resonances Controlled by Molecular Tunnel Junctions Tan, S. F.; Wu, L.; Yang, J. K. W. Science, Vol. 343, Issue 6178 https://doi.org/10.1126/science.1248797	journal	March 2014
Ultrabroadband infrared nanospectroscopic imaging Bechtel, H. A.; Muller, E. A.; Olmon, R. L. Proceedings of the National Academy of Sciences, Vol. 111, Issue 20 https://doi.org/10.1073/pnas.1400502111	journal	May 2014
Transformation Optics and Subwavelength Control of Light Pendry, J. B.; Aubry, A.; Smith, D. R. Science, Vol. 337, Issue 6094 https://doi.org/10.1126/science.1220600	journal	August 2012
Optical nano-imaging of gate-tunable graphene plasmons Chen, Jianing; Badioli, Michela; Alonso-González, Pablo Nature, Vol. 487, Issue 7405 https://doi.org/10.1038/nature11254	journal	June 2012
Gate-tuning of graphene plasmons revealed by infrared nano-imaging Fei, Z.; Rodin, A. S.; Andreev, G. O. Nature, Vol. 487, Issue 7405 https://doi.org/10.1038/nature11253	journal	June 2012
Quantum size effects in metal particles Halperin, W. P. Reviews of Modern Physics, Vol. 58, Issue 3 https://doi.org/10.1103/RevModPhys.58.533	journal	July 1986
Berry's Phase and Absence of Back Scattering in Carbon Nanotubes Ando, Tsuneya; Nakanishi, Takeshi; Saito, Riichiro Journal of the Physical Society of Japan, Vol. 67, Issue 8 https://doi.org/10.1143/JPSJ.67.2857	journal	August 1998
Pure optical contrast in scattering-type scanning near-field microscopy HillenbRand, R.; Knoll, B.; Keilmann, F. Journal of Microscopy, Vol. 202, Issue 1 https://doi.org/10.1046/j.1365-2818.2001.00794.x	journal	April 2001
Carbon nanotube intramolecular junctions Yao, Zhen; Postma, Henk W. Ch.; Balents, Leon Nature, Vol. 402, Issue 6759 https://doi.org/10.1038/46241	journal	November 1999
Direct observation of Tomonaga–Luttinger-liquid state in carbon nanotubes at low temperatures Ishii, Hiroyoshi; Kataura, Hiromichi; Shiozawa, Hidetsugu Nature, Vol. 426, Issue 6966 https://doi.org/10.1038/nature02074	journal	December 2003
An atlas of carbon nanotube optical transitions Liu, Kaihui; Deslippe, Jack; Xiao, Fajun Nature Nanotechnology, Vol. 7, Issue 5 https://doi.org/10.1038/nnano.2012.52	journal	April 2012
Phonons and electron-phonon scattering in carbon nanotubes Suzuura, Hidekatsu; Ando, Tsuneya Physical Review B, Vol. 65, Issue 23 https://doi.org/10.1103/PhysRevB.65.235412	journal	May 2002
Scaling of Resistance and Electron Mean Free Path of Single-Walled Carbon Nanotubes Purewal, Meninder; Hong, Byung Hee; Ravi, Anirudhh arXiv https://doi.org/10.48550/arxiv.0704.0300	text	January 2007
Coulomb Interactions and Mesoscopic Effects in Carbon Nanotubes Kane, Charlie; Balents, Leon; Fisher, Matthew arXiv https://doi.org/10.48550/arxiv.cond-mat/9708054	text	January 1997
Effective low-energy theory for correlated carbon nanotubes Egger, Reinhold; Gogolin, Alexander O. arXiv https://doi.org/10.48550/arxiv.cond-mat/9708065	text	January 1997
Luttinger Liquid Behavior in Carbon Nanotubes Bockrath, M.; Cobden, D. H.; Lu, J. arXiv https://doi.org/10.48550/arxiv.cond-mat/9812233	text	January 1998

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