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Review Article
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Higgs Mode in Superconductors
- Ryo Shimano1,2, and Naoto Tsuji3
- Vol. 11:103-124 (Volume publication date March 2020) https://doi.org/10.1146/annurev-conmatphys-031119-050813
- First published as a Review in Advance on September 30, 2019
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Copyright © 2020 by Annual Reviews. All rights reserved
Abstract
When the continuous symmetry of a physical system is spontaneously broken, two types of collective modes typically emerge: the amplitude and the phase modes of the order-parameter fluctuation. For superconductors, the amplitude mode is referred to most recently as the Higgs mode as it is a condensed-matter analog of a Higgs boson in particle physics. Higgs mode is a scalar excitation of the order parameter, distinct from charge or spin fluctuations, and thus does not couple to electromagnetic fields linearly. This is why the Higgs mode in superconductors has evaded experimental observations for over a half century after the initial theoretical prediction, except for a charge-density-wave coexisting system. With the advance of nonlinear and time-resolved terahertz spectroscopy techniques, however, it has become possible to study the Higgs mode through the nonlinear light–Higgs coupling. In this review, we overview recent progress in the study of the Higgs mode in superconductors.
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Literature Cited
-
1.Nambu Y. 2011. BCS: 50 Years LN Cooper, D Feldman Singapore: World Sci.
-
2.Ginzburg VL, Landau LD. 1950. Zh. Eksp. Teor. Fiz. 20:1064–82
-
3.Bogoliubov NN. 1958. J. Exp. Theoret. Phys. 34:58–65
-
4.Anderson PW. 1958. Phys. Rev. 110:827–35
-
5.Anderson PW. 1958. Phys. Rev. 112:1900–16
-
6.Nambu Y. 1960. Phys. Rev. 117:648–63
-
7.Goldstone J. 1961. Nuovo Cim 19:154–64
-
8.Goldstone J, Salam A, Weinberg S 1962. Phys. Rev. 127:965–70
-
9.Anderson PW. 1963. Phys. Rev. 130:439–42
-
10.Englert F, Brout R. 1964. Phys. Rev. Lett. 13:321–23
-
11.Higgs PW. 1964. Phys. Lett. 12:132–33
-
12.Higgs PW. 1964. Phys. Rev. Lett. 13:508–9
-
13.Guralnik GS, Hagen CR, Kibble TWB 1964. Phys. Rev. Lett. 13:585–87
-
14.Anderson PW. 2015. Nat. Phys. 11:93
-
15.Bardeen J, Cooper LN, Schrieffer JR 1957. Phys. Rev. 108:1175–204
-
15a.Schmid A 1968. Phys. Kond. Mater 8:129–40
-
16.Volkov AF, Kogan SM. 1974. Sov. Phys. J. Exp. Theoret. Phys. 38:1018–21
-
17.Kulik IO, Entin-Wohlman O, Orbach R 1981. J. Low Temp. Phys. 43:591–620
-
18.Littlewood PB, Varma CM. 1981. Phys. Rev. Lett. 47:811–14
-
19.Littlewood PB, Varma CM. 1982. Phys. Rev. B 26:4883–93
-
20.Nambu Y, Jona-Lasinio G. 1961. Phys. Rev. 122:345–58
-
21.Nambu Y. 1985. Physica 15D:147–51
-
22.Volovik GE, Zubkov MA. 2014. J. Low Temp. Phys. 175:486–97
-
23.ATLAS Collab 2012. Phys. Lett. B 716:1–29
-
24.CMS Collab 2012. Phys. Lett. B 716:30–61
-
25.Sooryakumar R, Klein MV. 1980. Phys. Rev. Lett. 45:660–62
-
26.Sooryakumar R, Klein MV. 1981. Phys. Rev. B 23:3213–21
-
27.Varma C. 2002. J. Low Temp. Phys. 126:901–9
-
28.Méasson MA, Gallais Y, Cazayous M, Clair B, Rodière P et al. 2014. Phys. Rev. B 89:060503(R)
-
29.Cea T, Benfatto L. 2014. Phys. Rev. B 90:224515
-
30.Grasset R, Cea T, Gallais Y, Cazayous M, Sacuto A et al. 2018. Phys. Rev. B 97:094502
-
31.Barankov RA, Levitov LS, Spivak BZ 2004. Phys. Rev. Lett. 93:160401
-
32.Yuzbashyan EA, Altshuler BL, Kuznetsov VB, Enolskii VZ 2005. Phys. Rev. B 72:220503
-
33.Barankov RA, Levitov LS. 2006. Phys. Rev. Lett. 96:230403
-
34.Yuzbashyan EA, Tsyplyatyev O, Altshuler BL 2006. Phys. Rev. Lett. 96:097005
-
35.Yuzbashyan EA, Dzero M. 2006. Phys. Rev. Lett. 96:230404
-
36.Gurarie V. 2009. Phys. Rev. Lett. 103:075301
-
37.Tsuji N, Eckstein M, Werner P 2013. Phys. Rev. Lett. 110:136404
-
38.Papenkort T, Axt VM, Kuhn T 2007. Phys. Rev. B 76:224522
-
39.Papenkort T, Kuhn T, Axt VM 2008. Phys. Rev. B 78:132505
-
40.Schnyder AP, Manske D, Avella A 2011. Phys. Rev. B 84:214513
-
41.Krull H, Manske D, Uhrig GS, Schnyder AP 2014. Phys. Rev. B 90:014515
-
42.Tsuji N, Aoki H. 2015. Phys. Rev. B 92:064508
-
43.Kemper AF, Sentef MA, Moritz B, Freericks JK, Devereaux TP 2015. Phys. Rev. B 92:224517
-
44.Chou Y-Z, Liao Y, Foster MS 2017. Phys. Rev. B 95:104507
-
45.Matsunaga R, Hamada YI, Makise K, Uzawa Y, Terai H et al. 2013. Phys. Rev. Lett. 111:057002
-
46.Matsunaga R, Tsuji N, Fujita H, Sugioka A, Makise K et al. 2014. Science 345:1145–49
-
47.Cea T, Castellani C, Benfatto L 2016. Phys. Rev. B 93:180507(R)
-
48.Tsuji N, Murakami Y, Aoki H 2016. Phys. Rev. B 94:224519
-
49.Matsunaga R, Tsuji N, Makise K, Terai H, Aoki H, Shimano R 2017. Phys. Rev. B 96:020505(R)
-
50.Cea T, Barone P, Castellani C, Benfatto L 2018. Phys. Rev. B 97:094516
-
51.Jujo T. 2015. J. Phys. Soc. Jpn. 84:114711
-
52.Jujo T. 2018. J. Phys. Soc. Jpn. 87:024704
-
53.Murotani Y, Shimano R. 2019. Phys. Rev. B 99:224510
-
54.Silaev M. 2019. Phys. Rev. B 99:224511
-
55.Katsumi K, Tsuji N, Hamada YI, Matsunaga R, Schneeloch J et al. 2018. Phys. Rev. Lett. 120:117001
-
56.Chu H, Kim M-J, Katsumi K, Kovalev S, Dawson RD et al. 2019. arXiv1901.06675
-
57.Moor A, Volkov AF, Efetov KB 2017. Phys. Rev. Lett. 118:047001
-
58.Nakamura S, Iida Y, Murotani Y, Matsunaga R, Terai H, Shimano R 2019. Phys. Rev. Lett. 122:257001
-
59.Vollhardt D, Wölfle P. 1990. The Superfluid Phases of Helium 3 London: Taylor & Francis
-
60.Endres M, Fukuhara T, Pekker D, Cheneau M, Schauβ P et al. 2012. Nature 487:454–58
-
61.Behrle A, Harrison T, Kombe J, Gao K, Link M et al. 2018. Nat. Phys. 14:781–85
-
62.Rüegg C, Normand B, Matsumoto M, Furrer A, McMorrow DF et al. 2008. Phys. Rev. Lett. 100:205701
-
63.Pekker D, Varma CM. 2015. Annu. Rev. Condens. Matter Phys. 6:269–97
-
64.Abraham E, Tsuneto T. 1966. Phys. Rev. 152:416–32
-
65.Schmid A. 1966. Phys. Kond. Mater. 5:302–17
-
66.Caroli C, Maki K. 1967. Phys. Rev. 159:306–15
-
67.Ebisawa H, Fukuyama H. 1971. Prog. Theoret. Phys. 46:1042–53
-
68.Sá de Melo CAR, Randeria M, Engelbrecht JR 1993. Phys. Rev. Lett. 71:3202–5
-
69.Tsuchiya S, Yamamoto D, Yoshii R, Nitta M 2018. Phys. Rev. B 98:094503
-
70.Gor'kov LP, Eliashberg GM. 1968. Sov. Phys. J. Exp. Theoret. Phys. 27:328–34
-
71.Gulian AM, Zharkov GF. 1999. Nonequilibrium Electrons and Phonons in Superconductors New York: Kluwer Acad./Plenum Publ.
-
72.Kopnin N. 2001. Theory of Nonequilibrium Superconductivity Oxford, UK: Oxford Univ. Press
-
73.Schrieffer JR. 1999. Theory of Superconductivity Boca Raton: CRC Press
-
74.Kihlstrom KE, Simon RW, Wolf SA 1985. Phys. Rev. B 32:1843–45(R)
-
75.Brorson SD, Kazeroonian A, Moodera JS, Face DW, Cheng TK et al. 1990. Phys. Rev. Lett. 64:2172–75
-
76.Chockalingam SP, Chand M, Jesudasan J, Tripathi V, Raychaudhuri P 2008. Phys. Rev. B 77:214503
-
77.Aoki H, Tsuji N, Eckstein M, Kollar M, Oka T, Werner P 2014. Rev. Mod. Phys. 86:779–837
-
78.Murakami Y, Werner P, Tsuji N, Aoki H 2016. Phys. Rev. B 93:094509
-
79.Murakami Y, Werner P, Tsuji N, Aoki H 2016. Phys. Rev. B 94:115126
-
80.Nosarzewski B, Moritz B, Freericks JK, Kemper AF, Devereaux TP 2017. Phys. Rev. B 96:184518
-
81.Kumar A, Kemper AF. 2019. arXiv1902.09549
-
82.Yu T, Wu MW. 2017. Phys. Rev. B 96:155311
-
83.Yu T, Wu MW. 2017. Phys. Rev. B 96:155312
-
84.Yang F, Wu MW. 2018. Phys. Rev. B 98:094507
-
85.Yang F, Wu MW. 2019. Phys. Rev. B 100104513
-
86.Leggett AJ. 1966. Prog. Theor. Phys. 36:901–30
-
87.Akbari A, Schnyder AP, Manske D, Eremin I 2013. Europhys. Lett. 101:17002
-
88.Krull H, Bittner N, Uhrig GS, Manske D, Schnyder AP 2016. Nat. Commun. 7:11921
-
89.Cea T, Benfatto L. 2016. Phys. Rev. B 94:064512
-
90.Murotani Y, Tsuji N, Aoki H 2017. Phys. Rev. B 95:104503
-
91.Barlas Y, Varma CM. 2013. Phys. Rev. B 87:054503
-
92.Peronaci F, Schiró M, Capone M 2015. Phys. Rev. Lett. 115:257001
-
93.Foster MS, Dzero M, Gurarie V, Yuzbashyan EA 2013. Phys. Rev. B 88:104511
-
94.Fauseweh B, Schwarz L, Tsuji N, Cheng N, Bittner N et al. 2017. arXiv1712.07989
-
95.Grasset R, Gallais Y, Sacuto A, Cazayous M, Mañas-Valero S et al. 2019. Phys. Rev. Lett. 122:127001
-
96.Hebling J, Yeh KL, Hoffmann MC, Bartal B, Nelson KA 2008. J. Opt. Soc. Am. B 25:B6–19
-
97.Watanabe S, Minami N, Shimano R 2011. Opt. Express 19:1528–38
-
98.Shimano R, Watanabe S, Matsunaga R 2012. J. Infrared Millim. Terahertz Waves 33:861–69
-
99.Matsunaga R, Shimano R. 2012. Phys. Rev. Lett. 109:187002
-
100.Matsunaga R, Shimano R. 2017. Phys. Scr. 92:024003
-
101.Beck M, Klammer M, Lang S, Leiderer P, Kabanov VV et al. 2011. Phys. Rev. Lett. 107:177007
-
102.Mansart B, Lorenzana J, Mann A, Odeh A, Scarongella M et al. 2013. PNAS 110:4539–44
-
103.Gor'kov LP, Eliashberg GM. 1969. Sov. Phys. J. Exp. Theoret. Phys. 29:698–703
-
104.Amato JC, McLean WL. 1976. Phys. Rev. Lett. 37:930–33
-
105.Entin-Wohlman O. 1978. Phys. Rev. B 18:4762–67
-
106.Bardasis A, Schrieffer JR. 1961. Phys. Rev. 121:1050–62
-
107.Mattis DC, Bardeen J. 1958. Phys. Rev. 111:412–17
-
108.Zimmermann W, Brandt EH, Bauer M, Seider E, Genzel L 1991. Phys. C: Supercondens. 183:99–104
-
109.Podolsky D, Auerbach A, Arovas DP 2011. Phys. Rev. B 84:174522
-
110.Gazit S, Podolsky D, Auerbach A 2013. Phys. Rev. Lett. 110:140401
-
111.Sachdev S. 1999. Phys. Rev. B 59:14054–73
-
112.Zwerger W. 2004. Phys. Rev. Lett. 92:027203
-
113.Sherman D, Pracht US, Gorshunov B, Poran S, Jesudasan J et al. 2015. Nat. Phys. 11:188–92
-
114.Cea T, Bucheli D, Seibold G, Benfatto L, Lorenzana J, Castellani C 2014. Phys. Rev. B 89:174506
-
115.Cea T, Castellani C, Seibold G, Benfatto L 2015. Phys. Rev. Lett. 115:157002
-
116.Pracht US, Cea T, Bachar N, Deutscher G, Farber E et al. 2017. Phys. Rev. B 96:094514
-
117.Seibold G, Benfatto L, Castellani C 2017. Phys. Rev. B 96:144507
-
118.Cheng B, Wu L, Laurita NJ, Singh H, Chand M et al. 2016. Phys. Rev. B 93:180511
-
119.Maiti S, Hirschfeld PJ. 2015. Phys. Rev. B 92:094506
-
120.Müller MA, Shen P, Dzero M, Eremin I 2018. Phys. Rev. B 98:024522
-
121.Blumberg G, Mialitsin A, Dennis BS, Klein MV, Zhigadlo ND, Karpinski J 2007. Phys. Rev. Lett. 99:227002
-
122.Giorgianni F, Cea T, Vicario C, Hauri CP, Withanage WK et al. 2019. Nat. Phys. 15:341–46
-
123.Scott RG, Dalfovo F, Pitaevskii LP, Stringari S 2012. Phys. Rev. A 86:053604
-
124.Yuzbashyan EA, Dzero M, Gurarie V, Foster MS 2015. Phys. Rev. A 91:033628
-
125.Tokimoto J, Tsuchiya S, Nikuni T 2019. J. Phys. Soc. Jpn. 88:023601
-
126.Wölfle P. 1977. Physica B 90:96–106
-
127.Fausti D, Tobey RI, Dean N, Kaiser S, Dienst A et al. 2011. Science 331:189–91
-
128.Kaiser S, Hunt CR, Nicoletti D, Hu W, Gierz I et al. 2014. Phys. Rev. B 89:184516
-
129.Hu W, Kaiser S, Nicoletti D, Hunt CR, Gierz I et al. 2014. Nat. Mater. 13:705–11
-
130.Mitrano M, Cantaluppi A, Nicoletti D, Kaiser S, Perucchi A et al. 2016. Nature 530:461–64
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