Cited by 141

The DOI matches its Crossref record; 7 of the 7 references it cites were found in a registry or an index.

Topological magnetoplasmon

Jin, Dafei, Lu, Ling, Wang, Zhong, Fang, Chen, Joannopoulos, John D., Soljačić, Marin, Fu, Liang, Fang, Nicholas X.·2016·Nature Communications

Abstract

Classical wave fields are real-valued, ensuring the wave states at opposite frequencies and momenta to be inherently identical. Such a particle–hole symmetry can open up new possibilities for topological phenomena in classical systems. Here we show that the historically studied two-dimensional (2D) magnetoplasmon, which bears gapped bulk states and gapless one-way edge states near-zero frequency, is topologically analogous to the 2D topological p + ip superconductor with chiral Majorana edge states and zero modes. We further predict a new type of one-way edge magnetoplasmon at the interface of opposite magnetic domains, and demonstrate the existence of zero-frequency modes bounded at the peripheries of a hollow disk. These findings can be readily verified in experiment, and can greatly enrich the topological phases in bosonic and classical systems.

Overview

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1038/ncomms13486

Cites

7 of 7 references verified0 citation errors · 0 not checkable

Statistics

Verification

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Citations

Cites

Flagged first, then by citations

Research works printed but not linked: 63

  1. Haldane, F. D. M. & Raghu, S. Possible realization of directional optical waveguides in photonic crystals with broken time-reversal symmetry. Phys. Rev. Lett. 100, 013904 (2008). · DOI · Paper page
  2. Hafezi, M., Demler, E. A., Lukin, M. D. & Taylor, J. M. Robust optical delay lines with topological protection. Nat. Phys. 7, 907–912 (2011). · DOI · Paper page
  3. Fang, K., Yu, Z. & Fan, S. Realizing effective magnetic field for photons by controlling the phase of dynamic modulation. Nat. Photon 6, 782–787 (2012). · DOI · Paper page
  4. Khanikaev, A. B. et al. Photonic topological insulators. Nat. Mater. 12, 233–239 (2013). · DOI · Paper page
  5. Lu, L., Joannopoulos, J. D. & Soljacic, M. Topological photonics. Nat. Photon 8, 821–829 (2014). · DOI · Paper page
  6. Prodan, E. & Prodan, C. Topological phonon modes and their role in dynamic instability of microtubules. Phys. Rev. Lett. 103, 248101 (2009). · DOI
  7. Kane, C. L. & Lubensky, T. C. Topological boundary modes in isostatic lattices. Nat. Phys. 10, 39 (2014). · DOI
  8. Paulose, J., Chen, B. G.-G. & Vitelli, V. Topological modes bound to dislocations in mechanical metamaterials. Nat. Phys. 11, 153–156 (2015). · DOI
  9. Wang, P., Lu, L. & Bertoldi, K. Topological phononic crystals with one-way elastic edge waves. Phys. Rev. Lett. 115, 104302 (2015). · DOI
  10. Shindou, R., Matsumoto, R., Murakami, S. & Ohe, J.-i. Topological chiral magnonic edge mode in a magnonic crystal. Phys. Rev. B 87, 174427 (2013). · DOI
  11. Yuen-Zhou, J., Saikin, S. K., Yao, N. Y. & Aspuru-Guzik, A. Topologically protected excitons in porphyrin thin films. Nat. Mater. 13, 1026–1032 (2014). · DOI
  12. Yuen-Zhou, J. et al. Plexciton dirac points and topological modes. Nat. Commun. 7, 11783 (2016). · DOI
  13. Karzig, T., Bardyn, C.-E., Lindner, N. H. & Refael, G. Topological polaritons. Phys. Rev. X 5, 031001 (2015).
  14. Ling, C. W., Xiao, M., Chan, C. T., Yu, S. F. & Fung, K. H. Topological edge plasmon modes between diatomic chains of plasmonic nanoparticles. Opt. Express 23, 2021–2031 (2015). · DOI
  15. Cheng, Q., Pan, Y., Wang, Q., Li, T. & Zhu, S. Topologically protected interface mode in plasmonic waveguide arrays. Laser Photon. Rev. 9, 392–398 (2015). · DOI
  16. Sinev, I. S. et al. Mapping plasmonic topological states at the nanoscale. Nanoscale 7, 11904–11908 (2015). · DOI
  17. Yu, Z., Veronis, G., Wang, Z. & Fan, S. One-way electromagnetic waveguide formed at the interface between a plasmonic metal under a static magnetic field and a photonic crystal. Phys. Rev. Lett. 100, 023902 (2008). · DOI
  18. Gao, W. et al. Topological photonic phase in chiral hyperbolic metamaterials. Phys. Rev. Lett. 114, 037402 (2015). · DOI · Paper page
  19. Song, J. C. & Rudner, M. S. Chiral plasmons without magnetic field. Proc. Natl Acad. Sci USA 113, 4658–4663 (2016). · DOI
  20. Kumar, A. et al. Chiral plasmon in gapped Dirac systems. Phys. Rev. B 93, 041413(R) (2016). · DOI
  21. Gao, W. et al. Plasmon Weyl degeneracies in magnetized plasma. Nat. Commun. 7, 12435 (2016). · DOI
  22. Kitaev, A. Periodic table for topological insulators and superconductors. AIP Conf. Proc. 1134, 22 (2009). · DOI · Paper page
  23. Schnyder, A. P., Ryu, S., Furusaki, A. & Ludwig, A. W. W. Classification of topological insulators and superconductors in three spatial dimensions. Phys. Rev. B 78, 195125 (2008). · DOI · Paper page
  24. Read, N. & Green, D. Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries and the fractional quantum hall effect. Phys. Rev. B 61, 10267 (2000). · DOI
  25. Stern, F. Polarizability of a two-dimensional electron gas. Phys. Rev. Lett. 18, 546 (1967). · DOI
  26. Chiu, K. W. & Quinn, J. J. Plasma oscillations of a two-dimensional electron gas in a strong magnetic field. Phys. Rev. B 9, 4724 (1974). · DOI
  27. Grimes, C. C. & Adams, G. Observation of two-dimensional plasmons and electron-ripplon scattering in a sheet of electrons on liquid helium. Phys. Rev. Lett. 36, 145 (1976). · DOI
  28. Allen, S. J., Tsui, D. C. & Logan, R. A. Observation of the two-dimensional plasmon in silicon inversion layers. Phys. Rev. Lett. 38, 980 (1977). · DOI
  29. Theis, T. N., Kotthaus, J. P. & Stiles, P. J. Two-dimensional magnetoplasmon in the silicon inversion layer. Solid State Commun. 24, 273 (1977). · DOI
  30. Glattli, D., Andrei, E., Deville, G., Poitrenaud, J. & Williams, F. Dynamical hall effect in a two-dimensional classical plasma. Phys. Rev. Lett. 54, 1710 (1985). · DOI
  31. Mast, D. B., Dahm, A. J. & Fetter, A. L. Observation of bulk and edge magnetoplasmons in a two-dimensional electron fluid. Phys. Rev. Lett. 54, 1706 (1985). · DOI
  32. Ando, T., Fowler, A. B. & Stern, F. Electronic properties of two-dimensional systems. Rev. Mod. Phys. 54, 437 (1982). · DOI · Paper page
  33. Andrei, E., Glattli, D., Williams, F. & Heiblum, M. Low frequency collective excitations in the quantum-hall system. Surf. Sci. 196, 501–506 (1988). · DOI
  34. Ashoori, R. C., Stormer, H. L., Pfeiffer, L. N., Baldwin, K. W. & West, K. Edge magnetoplasmons in the time domain. Phys. Rev. B 45, 3894 (1992). · DOI
  35. Aleiner, I. L. & Glazman, L. I. Novel edge excitations of two-dimensional electron liquid in a magnetic field. Phys. Rev. Lett. 72, 2935 (1994). · DOI
  36. Bernevig, B. A. Topological Insulators and Topological Superconductors Princeton University Press (2013). · DOI · Paper page
  37. Tan, W., Chen, L., Ji, X. & Lin, H.-Q. Photonic simulation of topological superconductor edge state and zero-energy mode at a vortex. Sci. Rep. 4, 7381 (2014). · DOI
  38. Rodriguez-Lara, B. M. & Moya-Cessa, H. M. Optical simulation of Majorana physics. Phys. Rev. A 89, 015803 (2014). · DOI
  39. Keil, R. et al. Optical simulation of charge conservation violation and Majorana dynamics. Optica 2, 454–459 (2015). · DOI
  40. Poddubny, A., Miroshnichenko, A., Slobozhanyuk, A. & Kivshar, Y. Topological majorana states in zigzag chains of plasmonic nanoparticles. ACS Photon. 1, 101–105 (2014). · DOI
  41. Iadecola, T., Schuster, T. & Chamon, C. Non-abelian braiding of light. Phys. Rev. Lett. 117, 073901 (2016). · DOI
  42. Peano, V., Houde, M., Brendel, C., Marquardt, F. & Clerk, A. A. Topological phase transitions and chiral inelastic transport induced by the squeezing of light. Nat. Commun. 7, 10779 (2016). · DOI · Paper page
  43. Stone, K. et al. Photovoltaic oscillations due to edge-magnetoplasmon modes in a very high-mobility two-dimensional electron gas. Phys. Rev. B 76, 153306 (2007). · DOI
  44. Jablan, M., Buljan, H. & Soljacic, M. Plasmonics in graphene at infrared frequencies. Phys. Rev. B 80, 245435 (2009). · DOI
  45. Koppens, F. H. L., Chang, D. E. & Garcia de Abajo, F. J. Graphene plasmonics: a platform for strong light-matter interactions. Nano Lett. 11, 3370–3377 (2011). · DOI
  46. Fetter, A. L. Edge magnetoplasmons in a bounded two-dimensional electron fluid. Phys. Rev. B 32, 7676 (1985). · DOI
  47. Fetter, A. L. Edge magnetoplasmons in a two-dimensional electron fluid confined to a half-plane. Phys. Rev. B 33, 3717 (1986). · DOI
  48. Volkov, V. A. & Mikhailov, S. A. Edge magnetoplasmons low frequency weakly damped excitations. Sov. Phys. JETP 67, 1639 (1988).
  49. Kukushkin, I. V. et al. Observation of retardation effects in the spectrum of two-dimensional plasmons. Phys. Rev. Lett. 90, 156801 (2003). · DOI
  50. Deng, H.-Y. & Wakabayashi, K. Retardation effects on plasma waves in graphene, topological insulators, and quantum wires. Phys. Rev. B 92, 045434 (2015). · DOI
  51. Silveirinha, M. G. Chern invariants for continuous media. Phys. Rev. B 92, 125153 (2015). · DOI
  52. Crassee, I. et al. Intrinsic terahertz plasmons and magnetoplasmons in large scale monolayer graphene. Nano Lett. 12, 2470–2474 (2012). · DOI
  53. Yan, H. et al. Infrared spectroscopy of tunable Dirac terahertz magneto-plasmons in graphene. Nano Lett. 12, 3766–3771 (2012). · DOI
  54. Petkoviic, I. et al. Carrier drift velocity and edge magnetoplasmons in graphene. Phys. Rev. Lett. 110, 016801 (2013). · DOI
  55. Kumada, N. et al. Resonant edge magnetoplasmons and their decay in graphene. Phys. Rev. Lett. 113, 266601 (2014). · DOI
  56. Autore, M. et al. Observation of magnetoplasmons in bi2se3 topological insulator. ACS Photon. 2, 1231–1235 (2015). · DOI
  57. Reijniers, J. & Peeters, F. M. Snake orbits and related magnetic edge states. J. Phys. Conds. Matter 12, 9771C9786 (2000). · DOI
  58. Ye, P. D. et al. Electrons in a periodic magnetic field induced by a regular array of micromagnets. Phys. Rev. Lett. 74, 3014–3016 (1995).
  59. Chen, W.-J., Zhang, Z.-Q., Dong, J.-W. & Chan, C. T. Symmetry-protected transport in a pseudospin-polarized waveguide. Nat. Commun. 6, 8183 (2015). · DOI
  60. Chiu, C.-K., Teo, J. C., Schnyder, A. P. & Ryu, S. Classification of topological quantum matter with symmetries. Rev. Mod. Phys. 88, 035005 (2015). · DOI · Paper page
  61. Fu, L. Topological crystalline insulators. Phys. Rev. Lett. 106, 106802 (2011). · DOI · Paper page
  62. Wang, W., Apell, P. & Kinaret, J. Edge plasmons in graphene nanostructures. Phys. Rev. B 84, 085423 (2011). · DOI
  63. Sounas, D. L. & Caloz, C. Edge surface modes in magnetically biased chemically doped graphene strips. Appl. Phys. Lett. 99, 231902 (2011). · DOI

Cited by

Sorted by citations

See all 141

Metadata

Authors
Jin, D., Lu, L., Wang, Z., Fang, C., Joannopoulos, J. D., Soljačić, M., Fu, L., & Fang, N. X.
Venue
Nature Communications
Published
2016-11-28
Volume
7
Issue
1
ISSN
2041-1723
Cited by
141
References
7
Language
en

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review