| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
|
|
|
|
Quantization Scheme of Surface Plasmon Polaritons in Two-Dimensional Helical Liquids |
| Pengfei Suo, Li Mao**, Hongxing Xu** |
School of Physics and Technology, Wuhan University, Wuhan 430072
|
|
| Cite this article: |
|
Pengfei Suo, Li Mao, Hongxing Xu 2020 Chin. Phys. Lett. 37 017801 |
|
|
|
|
Abstract The collective modes of two-dimensional helical electron gases interacting with light have been studied in an extended random phase approximation. An inverse operator transformation that interprets electron oscillations and photons with quasi particles is developed. Because photons are initially included in the model, one can directly derive and compare the static and radiation (or vector) fields for the excited collective modes. Unlike the traditional quantization scheme that the electron oscillation's contribution is totally hidden in the dielectric function, we can directly investigate their roles when the collective modes interact with other particles. As an example, we find an additional term which plays an important role at small distance arising from electron exchanging effect when the collective modes couple to emitters.
|
|
Received: 29 October 2019
Published: 22 November 2019
|
|
| PACS: |
78.67.-n
|
(Optical properties of low-dimensional, mesoscopic, and nanoscale materials and structures)
|
| |
03.70.+k
|
(Theory of quantized fields)
|
| |
71.10.-w
|
(Theories and models of many-electron systems)
|
|
|
| Fund: Supported by the National Basic Research Program of China under Grant No. 2015CB932401, the National Key R&D Program of China under Grant Nos. 2017YFA0205800 and 2017YFA0303402, and the National Natural Science Foundation of China under Grant Nos. 91850207 and 11344009. |
|
|
|
| [1] | Tame M S, McEnery K, Özdemir Ş, Lee J, Maier S and Kim M 2013 Nat. Phys. 9 329 | | [2] | Vest B, Dheur M C, Devaux É, Baron A, Rousseau E, Hugonin J P, Greffet J J, Messin G and Marquier F 2017 Science 356 1373 | | [3] | Xu D, Xiong X, Wu L, Ren X F, Png C E, Guo G C, Gong Q and Xiao Y F 2018 Adv. Opt. Photon. 10 703 | | [4] | Alpeggiani F and Andreani L C 2014 Plasmonics 9 965 | | [5] | Yu C and Liu S 2019 Appl. Phys. Lett. 114 181106 | | [6] | Chang D, Sørensen A S, Hemmer P and Lukin M 2006 Phys. Rev. Lett. 97 053002 | | [7] | Scholl J A, Koh A L and Dionne J A 2012 Nature 483 421 | | [8] | Zuloaga J, Prodan E and Nordlander P 2009 Nano Lett. 9 887 | | [9] | Neuman T, Esteban R, Casanova D, Garcı́a-Vidal F J and Aizpurua J 2018 Nano Lett. 18 2358 | | [10] | Archambault A, Marquier F, Greffet J J and Arnold C 2010 Phys. Rev. B 82 035411 | | [11] | Brzozowski M J and Singh M R 2017 Plasmonics 12 1 | | [12] | González-Tudela A, Huidobro P, Martı́n-Moreno L, Tejedor C and Garcı́a-Vidal F 2013 Phys. Rev. Lett. 110 126801 | | [13] | Mao L, Li Z, Wu B and Xu H 2009 Appl. Phys. Lett. 94 243102 | | [14] | Raether H 1988 Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Berlin: Springer) | | [15] | Xu H, Bjerneld E J, Käll M and Börjesson L 1999 Phys. Rev. Lett. 83 4357 | | [16] | Chen W, Zhang S, Kang M, Liu W, Ou Z, Li Y, Zhang Y, Guan Z and Xu H 2018 Light: Sci. & Appl. 7 56 | | [17] | Danckwerts M and Novotny L 2007 Phys. Rev. Lett. 98 026104 | | [18] | Fasel S, Robin F, Moreno E, Erni D, Gisin N and Zbinden H 2005 Phys. Rev. Lett. 94 110501 | | [19] | Wei H, Li Z, Tian X, Wang Z, Cong F, Liu N, Zhang S, Nordlander P, Halas N J and Xu H 2011 Nano Lett. 11 471 | | [20] | Wei H, Wang Z, Tian X, Käll M and Xu H 2011 Nat. Commun. 2 387 | | [21] | De Leon N P, Shields B J, Chun L Y, Englund D E, Akimov A V, Lukin M D and Park H 2012 Phys. Rev. Lett. 108 226803 | | [22] | Qi X L and Zhang S C 2011 Rev. Mod. Phys. 83 1057 | | [23] | Mikhailov S A and Ziegler K 2007 Phys. Rev. Lett. 99 016803 | | [24] | Hwang E and Sarma S D 2007 Phys. Rev. B 75 205418 | | [25] | Grigorenko A, Polini M and Novoselov K 2012 Nat. Photon. 6 749 | | [26] | Ju L, Geng B, Horng J, Girit C, Martin M, Hao Z, Bechtel H A, Liang X, Zettl A, Shen Y R et al 2011 Nat. Nanotechnol. 6 630 | | [27] | Di Pietro P, Ortolani M, Limaj O, Di Gaspare A, Giliberti V, Giorgianni F, Brahlek M, Bansal N, Koirala N, Oh S et al 2013 Nat. Nanotechnol. 8 556 | | [28] | Raghu S, Chung S B, Qi X L and Zhang S C 2010 Phys. Rev. Lett. 104 116401 | | [29] | Politano A, Chiarello G, Ghosh B, Sadhukhan K, Kuo C N, Lue C S, Pellegrini V and Agarwal A 2018 Phys. Rev. Lett. 121 086804 | | [30] | Bill A, Morawitz H and Kresin V 2003 Phys. Rev. B 68 144519 | | [31] | Brout R 1957 Phys. Rev. 108 515 | | [32] | Efimkin D K, Lozovik Y E and Sokolik A A 2012 Nanoscale Res. Lett. 7 163 | | [33] | Kukushkin I, Smet J, Mikhailov S A, Kulakovskii D, Von Klitzing K and Wegscheider W 2003 Phys. Rev. Lett. 90 156801 | | [34] | Gruner T and Welsch D G 1996 Phys. Rev. A 53 1818 | | [35] | Stauber T and Gómez-Santos G 2010 Phys. Rev. B 82 155412 | | [36] | Scholz A and Schliemann J 2011 Phys. Rev. B 83 235409 |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
