Topological Majorana States in Zigzag Chains of Plasmonic Nanoparticles

ACS Photonics

Volumn 1, Issue 2, 2014, Pages 101-105

  Poddubny, Alexander ^a,b   Miroshnichenko, Andrey ^c   Slobozhanyuk, Alexey ^b   Kivshar, Yuri ^b,c  

^a IOFFE INSTITUTE   (Russian Federation)

^b ITMO UNIVERSITY   (Russian Federation)

^c AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

edge states; Majorana fermions; plasmonics; topological insulators

Indexed keywords

CHAINS; NANOPARTICLES; PLASMONS; SEMICONDUCTOR QUANTUM WIRES;

BOGOLIUBOV-DE GENNES EQUATIONS; EDGE STATE; FULL-WAVE ELECTROMAGNETIC SIMULATION; LOCALIZED PLASMONS; MAJORANA; PLASMONIC NANOPARTICLE; PLASMONICS; TOPOLOGICAL INSULATORS;

TOPOLOGY;

EID: 84908476516     PISSN: None     EISSN: 23304022     Source Type: Journal    
DOI: 10.1021/ph4000949     Document Type: Article

References (33)

1. Hasan, M. Z.; Kane, C. L. Colloquium: Topological insulators Rev. Mod. Phys. 2010, 82, 3045 - 3067
2. Qi, X.-L.; Zhang, S.-C. Topological insulators and superconductors Rev. Mod. Phys. 2011, 83, 1057 - 1110
3. Kitaev, A. Periodic table for topological insulators and superconductors AIP Conf. Proc. 2009, 1134, 22 - 30
4. Haldane, F. D. M.; Raghu, S. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry Phys. Rev. Lett. 2008, 100, 013904
5. Wang, Z.; Chong, Y. D.; Joannopoulos, J. D.; Soljaɥić, M. Reflection-free one-way edge modes in a gyromagnetic photonic crystal Phys. Rev. Lett. 2008, 100, 013905
6. Hafezi, M.; Demler, E. A.; Lukin, M. D.; Taylor, J. M. Robust optical delay lines with topological protection Nat. Phys. 2011, 7, 907 - 912
7. Kitagawa, T.; Broome, M. A.; Fedrizzi, A.; Rudner, M. S.; Berg, E.; Kassal, I.; Aspuru-Guzik, A.; Demler, E.; White, A. G. Observation of topologically protected bound states in photonic quantum walks. Nat. Commun. 2012, 3.
8. Rechtsman, M. C.; Plotnik, Y.; Zeuner, J. M.; Song, D.; Chen, Z.; Szameit, A.; Segev, M. Topological creation and destruction of edge states in photonic graphene Phys. Rev. Lett. 2013, 111, 103901
9. Rechtsman, M. C.; Zeuner, J. M.; Plotnik, Y.; Lumer, Y.; Podolsky, D.; Dreisow, F.; Nolte, S.; Segev, M.; Szameit, A. Photonic Floquet topological insulators Nature 2013, 496, 196 - 200
10. Kraus, Y. E.; Zilberberg, O. Topological equivalence between the Fibonacci quasicrystal and the Harper model Phys. Rev. Lett. 2012, 109, 116404
11. Verbin, M.; Zilberberg, O.; Kraus, Y. E.; Lahini, Y.; Silberberg, Y. Observation of topological phase transitions in photonic quasicrystals Phys. Rev. Lett. 2013, 110, 076403
12. Khanikaev, A. B.; Hossein Mousavi, S.; Tse, W.-K.; Kargarian, M.; MacDonald, A. H.; Shvets, G. Photonic topological insulators Nat. Mater. 2013, 12, 233 - 239
13. Maier, S. A. Plasmonics: Fundamentals and Applications; Springer: New York, 2007.
14. Hentschel, M.; Dregely, D.; Vogelgesang, R.; Giessen, H.; Liu, N. Plasmonic oligomers: The role of individual particles in collective behavior ACS Nano 2011, 5, 2042 - 2050
15. Francescato, Y.; Giannini, V.; Maier, S. A. Plasmonic systems unveiled by fano resonances ACS Nano 2012, 6, 1830 - 1838
16. Noskov, R. E.; Belov, P. A.; Kivshar, Y. S. Subwavelength modulational instability and plasmon oscillons in nanoparticle arrays Phys. Rev. Lett. 2012, 108, 093901
17. Frimmer, M.; Coenen, T.; Koenderink, A. F. Signature of a Fano resonance in a plasmonic metamolecule's local density of optical states Phys. Rev. Lett. 2012, 108, 077404
18. Hopkins, B.; Liu, W.; Miroshnichenko, A. E.; Kivshar, Y. S. Optically isotropic responses induced by discrete rotational symmetry of nanoparticle clusters Nanoscale 2013, 5, 6395 - 6403
19. Bao, K.; Mirin, N. A.; Nordlander, P. Fano resonances in planar silver nanosphere clusters Appl. Phys. A 2010, 100, 333 - 339
20. Kitaev, A. Y. Unpaired Majorana fermions in quantum wires Phys.-Usp. 2001, 44, 131
21. Wilczek, F. Majorana returns Nat. Phys. 2009, 5, 618
22. Alicea, J. New directions in the pursuit of Majorana fermions in solid state systems Rep. Prog. Phys. 2012, 75, 076501
23. Noh, C.; Rodŕiguez-Lara, B. M.; Angelakis, D. G. Proposal for realization of the Majorana equation in a tabletop experiment Phys. Rev. A 2013, 87, 040102
24. Purcell, E. M.; Pennypacker, C. R. Scattering and absorption of light by nonspherical dielectric grains Astrophys. J. 1973, 186, 705
25. Draine, B. T.; Flatau, P. J. Discrete-dipole approximation for scattering calculations J. Opt. Soc. Am. A 1994, 11, 1491
26. Sukhorukov, A. A.; Kivshar, Y. S. Multigap discrete vector solitons Phys. Rev. Lett. 2003, 91, 113902
27. Zeuner, J. M.; Efremidis, N. K.; Keil, R.; Dreisow, F.; Christodoulides, D. N.; Tünnermann, A.; Nolte, S.; Szameit, A. Optical analogues for massless dirac particles and conical diffraction in one dimension Phys. Rev. Lett. 2012, 109, 023602
28. Malkova, N.; Ning, C. Z. Interplay between Tamm-like and Shockley-like surface states in photonic crystals Phys. Rev. B 2007, 76, 045305
29. Heeger, A. J.; Kivelson, S.; Schrieffer, J. R.; Su, W. P. Solitons in conducting polymers Rev. Mod. Phys. 1988, 60, 781 - 850
30. Johnson, P. B.; Christy, R. W. Optical constants of the noble metals Phys. Rev. B 1972, 6, 4370 - 4379
31. Fujimoto, M. The Physics of Structural Phase Transitions; Springer: New York, 2010.
32. Dousse, A.; Suffczynski, J.; Beveratos, A.; Krebs, O.; Lemaitre, A.; Sagnes, I.; Bloch, J.; Voisin, P.; Senellart, P. Ultrabright source of entangled photon pairs Nature 2010, 466, 217 - 220
33. Liew, T. C. H.; Savona, V. Multimode entanglement in coupled cavity arrays New J. Phys. 2013, 15, 025015