Nambu-Goldstone-Leggett modes in
multi-condensate superconductors

• Authors: Takashi Yanagisawa
• Languages of publication: EN

Abstracts

EN

Multi-gap superconductors exhibit interesting
properties. In an N-gap superconductor, we have in general
U(1)N phase invariance. This multiple-phase invariance
is partially or totally spontaneously broken in a superconductor.
The Nambu-Goldstone modes, as well as
Higgs modes, are important and will play an important
role in multi-condensate superconductors. The additional
phase invariance leads to a new quantum phase, with help
of frustrated Josephson effects, such as the time-reversal
symmetry breaking, the emergence of massless modes and
fractionally quantized-flux vortices. There is a possibility
that half-flux vortices exist in two-component superconductors
in a magnetic field. The half-quantum flux vortex
can be interpreted as a monopole, and two half-flux
vortices form a bound state connected by a domain wall.
There is an interesting analogy between quarks and fractionally
quantized-flux vortices in superconductors.

Keywords

EN

multi-gap superconductivity; multi-band BCSmodel; Nambu-Goldstone mode; Higgs mode; frustrated-Josephson coupling; time-reversal symmetry breaking; massless mode; fractional-flux vortex; sine-Gordonmodel; SU(N) sine-Gordon model

• Publisher: De Gruyter Open
• Journal: Novel Superconducting Materials
• Year: 2015
• Volume: 1
• Issue: 1

Dates

accepted

11 - 11 - 2015

received

12 - 7 - 2015

online

31 - 12 - 2015

Contributors

author

Takashi Yanagisawa

• Electronics and
  Photonics Research Institute, National Institute of Advanced Industrial
  Science and Technology, 1-1-1 Umezono, Tsukuba, Ibaraki
  305-8568, Japan

References

• [1] V. A. Moskalenko: Fiz. Metal and Metallored 8, 2518 (1959).
• [2] H. Suhl, B. T. Mattis and L. W. Walker: Phys. Rev. Lett. 3, 552(1959).[Crossref]
• [3] J. Peretti, Phys. Lett. 2, 275 (1962).[Crossref]
• [4] J. Kondo: Prog. Theor. Phys. 29, 1 (1963).[Crossref]
• [5] J. Bardeen, L. Cooper and R. Schrieffer: Phys. Rev. 106, 162 (1957).[Crossref]
• [6] G. Binning, A. Baratoff, H. E. Hoenig and J. G. Bednorz: Phys. Rev.Lett. 45, 1352 (1980).[Crossref]
• [7] L. P. Gorkov: arXiv:1508.00529.
• [8] S. V. Shulga et al.: Phys. Rev. Lett. 80, 1730 (1998).[Crossref]
• [9] J. Nagamatsu, N. Nakagawa, T.Muranaka, Y. Zenitani and J. Akimitsu:Nature 410, 63 (2001).
• [10] Y. Kamihara, T. Watanabe, M. Hirano and H. Hosono: J. Ame.Chem. Soc. 130, 3296 (2008).[Crossref]
• [11] K. H. Bennemann and J. B. Ketterson Eds. The Physics of Superconductors,Springer-Verlag, Berlin, 2004.
• [12] A. Bianconi, Nature Phys, 9, 536 (2013).[Crossref]
• [13] A. Bianconi, A. C. Castellano, M. De. Santis, P. Delogu, A. Garanoand R. Giorgi, Solid State Commun. 63, 1135 (1987).[Crossref]
• [14] A. Bussmann-Holder, H. Keller, R. Khasanov, A. Simon, A. Bianconiand A. R. Bishop: New J. Phys. 13, 093009 (2011).
• [15] H. Y. Choi et al., Phys. Rev. B80, 052505 (2009).[Crossref]
• [16] P.M. Shirage, K. Kihou, K. Miyazawa, C.-H. Lee, H. Kito, H. Eisaki,T. Yanagisawa, Y. Tanaka. A. Iyo: Phys. Rev. Lett. 103, 257003(2009).[Crossref]
• [17] T. Yanagisawa, K. Odagiri, I. Hase, K. Yamaji, P. M. Shirage, Y.Tanaka, A. Iyo and H. Eisaki, J. Phys. Soc. Jpn. 78, 094718 (2009).[Crossref]
• [18] V. Stanev and Z. Tesanovic, Phys. Rev. B81, 134522 (2010).[Crossref]
• [19] Y. Tanaka and T. Yanagisawa, J. Phys. Soc. Jpn. 79, 114706 (2010).[Crossref]
• [20] Y. Tanaka and T. Yanagisawa, Solid State Commun. 150,1980(2010).[Crossref]
• [21] R. G. Dias and A. M. Marques, Supercond. Sci. Technol. 24,085009 (2011).[Crossref]
• [22] T. Yanagisawa, Y. Tanaka, I. Hase and K. Yamaji: J. Phys. Soc. Jpn.81, 024712 (2012).[Crossref]
• [23] X. Hu and Z. Wang, Phys. Rev. B85, 064516 (2012).[Crossref]
• [24] V. Stanev, Phys. Rev. B85, 174520 (2012).[Crossref]
• [25] C. Platt, R. Thomale, C. Homerkamp and S. C. Zhang, Phys. Rev.B85, 180502 (2012).[Crossref]
• [26] S. Maiti and A. V. Chubukov, Phys. Rev. B87, 144511 (2013).[Crossref]
• [27] B. J. Wilson and M. P. Das, J. Phys. Condens. Matter 25, 425702(2013).[Crossref]
• [28] Y. Takahashi, Z. Huang and X. Hu, J. Phys. Soc. Jpn. 83, 034701(2014).[Crossref]
• [29] R.Ganesh, G.Baskaran, J. van den Brink and D. V. Efremov, Phys.Rev. Lett. 113, 177001 (2014).[Crossref]
• [30] Y. S. Yerin, A. N. Omelyanchouk and E. ll’chev, arXiv: 1503.04653(2015).
• [31] T. Yanagisawa and I. Hase, J. Phys. Soc. Jpn. 82, 124704 (2013).[Crossref]
• [32] S. Z. Lin and X. Hu, New J. Phys. 14, 063021 (2012).
• [33] K. Kobayashi, M. Machida, Y. Ota and F. Nori, Phys. Rev. B88,224516 (2013).[Crossref]
• [34] T. Koyama, J. Phys. Soc. Jpn. 83, 074715 (2014).[Crossref]
• [35] T. Yanagisawa and Y. Tanaka, New J. Phys. 16, 123014 (2014).
• [36] Y. Tanaka et al., Physica C516, 10 (2015).
• [37] S.-Z. Lin and X. Hu, Phys. Rev. Lett. 108, 177005 (2012).[Crossref]
• [38] Yu. A. Izyumovand V. M. Laptev: Phase Transitions 20, 95 (1990).
• [39] G. E. Volovik, The Universe in a Helium Droplet (Oxford UniversityPress, Oxford, 2009).
• [40] Y. Tanaka: Phys. Rev. Lett. 88, 017002 (2002).
• [41] E. Babaev, Phys. Rev. Lett. 89, 067001 (2002).[Crossref]
• [42] S. V. Kuplevakhsky, A. N. Omelyanchouk and Y. S. Yerin: J. LowTemp. Phys. 37, 667 (2011).[Crossref]
• [43] A. J. Leggett: Prog. Theor. Phys. 36, 901 (1966).[Crossref]
• [44] Y. Tanaka et al.: Physica C471, 747 (2011).
• [45] V. Moshchalkov et al.: Phys. Rev. Lett. 102, 117001 (2009).[Crossref]
• [46] M. Silaev and E. Babaev, Phys. Rev. B84, 094515 (2011).[Crossref]
• [47] Y. Nambu, Phys. Rev. 117, 648 (1960).[Crossref]
• [48] Y. Nambu: in Physics in the 21st Century edited by K. Kikkawa,H. Kunitomo and H. Otsubo, World Scientific, Singapore (1997).
• [49] B. T. Geilikman, R. O. Zaitsev and V. Z. Kresin, Sov. Phys.: SolidState 9, 642 (1967).
• [50] D. R. Tilley, Proc. Phys. Soc. 84, 573 (1964).[Crossref]
• [51] I. P. Ivanov. Phys. Rev. E79, 021116 (2009).
• [52] N. V. Orlova, A. A. Shanenko, M. V. Milosevic, F. M. Peeters, A. V.Vagov ad V. M. Axt, Phys. Rev. B87, 134510 (2013).[Crossref]
• [53] Z. Huang and X. Hu, Appl. Phys. Lett. 104, 162602 (2014).[Crossref]
• [54] Y. S. Yerin and A. N. Omelyanchouk, Low Temp. Phys. 40, 943(2014).[Crossref]
• [55] Y. Tanaka, Super. Sci. Tech. 28, 034002 (2015).[Crossref]
• [56] R. G. Cai, L. Li, L. F. Li and Y. Q. Wang, JHEP 9, 074 (2013).[Crossref]
• [57] W.-Y. Wen, M.-S. Wu and S.-Y. Wu, Phys. Rev. D89, 066005(2014).[Crossref]
• [58] M. Nishida, arXiv: 1503.00129.
• [59] J. G. Storey, J. W. Loram, J. R. Cooper, Z. Bukowski and J. Karpinski,Phys. Rev. B88, 144502 (2013).[Crossref]
• [60] E. Babaev, L. D. Faddeev and A. J. Niemi, Phys. Rev. B65, 100512(2002).[Crossref]
• [61] Y. M. Cho and P. Zhang, Phys. Rev. B73, 180506 (2006).[Crossref]
• [62] M. Eto, Y. Hirono, M. Nitta and S. Yasui, Prog. Theor. Exp. Phys.2014, 012D01 (2014).
• [63] M. C. N. Fiolhais and J. L. Birman, Phys. Lett. A378, 2632 (2014).[Crossref]
• [64] E. Babaev and M. Speight, Phys. Rev. B72, 180502 (2005).[Crossref]
• [65] V. G. Kogan and J. Schmalian, Phys. Rev. B83, 054515 (2011).[Crossref]
• [66] E. Babaev and M. Silaev, Phys. Rev. B86, 016501 (2012).[Crossref]
• [67] V. G. Kogan and J. Schmalian, Phys. Rev. B86, 016502 (2012).[Crossref]
• [68] Y. Tanaka, J. Phys. Soc. Jpn. 70, 2844 (2001).[Crossref]
• [69] M. Marciani, L. Fanfarillo, C. Castellani and L. Benfatto: Phys.Rev. B88, 214508 (2013).[Crossref]
• [70] R. Kleiner, F. Steinmeyer, G. Kunkel and P. Muller, Phys. Rev.Lett. 68, 2349 (1992).
• [71] G. Ohya, N. Aoyama, A. Irie, S. Kishida and H. Tokutaka, Jpn. J.Appl. Phys. 31, L829 (1992).[Crossref]
• [72] K. Tamasaku, Y. Nakamura and S. Uchida, Phys. Rev. Lett. 69,1455 (1992).[Crossref]
• [73] Y. Matsuda, M. B. Gaifullin, K. Kumagai, K. Kadowaki and T.Mochiku, Phys. Rev. Lett. 75, 4512 (1995).[Crossref]
• [74] T. Koyama and M. Tachiki, Phys. Rev. B54, 16183 (1996).[Crossref]
• [75] S. G. Sharapov, V. P. Gusynin and H. Beck, Eur. Phys. J. B39,062001 (2002).
• [76] H. J. Choi, D. Roundy, H. Sun, M. L. Cohen and S. G. Louie, Nature418, 758 (2002).
• [77] G. Blumberg et al., Phys. Rev. Lett. 99, 014507 (2007).
• [78] A. Gurevich and V. Vinokur, Phys. Rev. Lett. 90, 047004 (2003).[Crossref]
• [79] Y. Ota, M. Machida, T. Koyama and H. Aoki, Phys. Rev. B83,060507 (2011).[Crossref]
• [80] R. Matsunaga, Y. I. Hamada, K. Makise, Y. Uzawa, H. Terai, Z.Wang and R. Shimano, Phys. Rev. Lett. 111, 057002 (2013).[Crossref]
• [81] M. A. Measson, Y. Gallais, M. Cazayous, B. Clair, P. Rodiere, L.Cario and A. Sacuto, Phys. Rev. B89, 060503 (2014).[Crossref]
• [82] Y. Barlas and C. M. Varma, Phys. Rev. B87, 054503 (2013).[Crossref]
• [83] T. Koyama, Phys. Rev. B90, 064514 (2014).[Crossref]
• [84] N. Tsuji and H. Aoki, Phys. Rev. B92, 064508 (2015).[Crossref]
• [85] R. Rajaraman, Solitons and Instantons (North-Holland, Elsevier,Amsterdam, 1987).
• [86] H.-Y. Kee, Y. B. Kim and K. Maki, Phys. Rev. B62, R9275 (2000).[Crossref]
• [87] J. Jang et al., Science 331, 186 (2011).
• [88] M. Nitta, M. Eto, T. Fujimori and T. Ohashi, J. Phys. Soc. Jpn. 81,084711 (2012).[Crossref]
• [89] T. A. Bojesen, E. Babaev and A. Sudbo, Phys. Rev. B88, 220511(2013).[Crossref]
• [90] Y. Tanaka et al., J. Phys. Soc. Jpn. 83, 074705 (2014).[Crossref]
• [91] J. M. Kosterlitz and D. Thouless, J. Phys. C6, 1181 (1973).
• [92] J. Zinn-Justin, Quantum Field Theory and Critical Phenomena(Oxford University Press, Oxford, 1989).
• [93] D. J. Amit, Y. Y. Goldschmidt and S. Grinstein, J. Phys. A: Math.Gen. 13, 585 (1980).[Crossref]
• [94] S. Miyashita and H. Shiba, J. Phys. Soc. Jpn. 53, 1145 (1984).[Crossref]
• [95] D. J. Gross and E. Witten, Phys. Rev. D21, 446 (1980).[Crossref]
• [96] E. Brezin and D. J. Gross, Phys. Lett. B97, 120 (1980).[Crossref]
• [97] R. C. Brower and M. Nauenberg, Nucl. Phys. B180, 221 (1981).[Crossref]
• [98] E. Brezin and S. Hikami, JHEP 7, 67 (2010).[Crossref]
• [99] M. Nitta, Nucl. Phys. B895, 288 (1995).
• [100] T. Yanagisawa, unpublished.

Identifiers

DOI

10.1515/nsm-2015-0010