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Vortex Lattice Melting Transition

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Hidden Order and Exotic Superconductivity in the Heavy-Fermion Compound URu2Si2

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

The most fascinating phenomenon of “vortex matter”, which is a highly correlated system composed of the magnetic flux lines in superconductors, is the first-order melting transition from flux line lattice to liquid. In low-\(T_{c}\) superconductors, the transition is extremely difficult to observe, because it occurs in the immediate vicinity of the mean-field upper critical field \(H_{c2}\). In contrast, the melting transition is established in high-\(T_{c}\) cuprates at several tens of Kelvin, owing to large thermal fluctuations. In this chapter, through the electro- and thermal-transport transport study, we show that in ultraclean heavy-fermion superconductor \(\mathrm{{URu}}_2\mathrm{{Si}}_2\) (\(T_c =1.4\) K) a distinct melting transition with outstanding characters occurs well below \(H_{c2}\). In \(\mathrm{{URu}}_2\mathrm{{Si}}_2\), very low carrier number with heavy mass results in exceptionally large fluctuations even below 1 K. The uniqueness is further highlighted by a thermal conductivity anomaly below the melting transition, indicating enhancement of the quasiparticle mean free path possibly due to the formation of a quasiparticle Bloch state.

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References

  1. C.J. Lobb, Phys. Rev. B 36, 3930 (1987)

    Google Scholar 

  2. A. Kapitulnik, M.R. Beasley, C. Castellani, C. Di Castro, Phys. Rev. B 37, 537 (1988)

    Article  ADS  Google Scholar 

  3. G. Blatter, M.V. Feigel’man, V.B. Geshkenbein, A.I. Larkin, V.M. Vinokur, Rev. Mod. Phys. 66, 1125 (1994)

    Article  ADS  Google Scholar 

  4. A. Houghton, R.A. Pelcovits, A. Sudbø, Phys. Rev. B 40, 6763 (1989)

    Article  ADS  Google Scholar 

  5. D.R. Nelson, Phys. Rev. Lett. 60, 1973 (1988)

    Article  MathSciNet  ADS  Google Scholar 

  6. D.R. Nelson, H.S. Seung, Phys. Rev. B 39, 9153 (1989)

    Article  ADS  Google Scholar 

  7. E.H. Brandt, Phys. Rev. Lett. 63, 1106 (1989)

    Article  ADS  Google Scholar 

  8. M. Tinkham, Introduction to Superconductivity (McGraw-Hill, London, 1996)

    Google Scholar 

  9. E. Brézin, D.R. Nelson, A. Thiaville, Phys. Rev. B 31, 7124 (1985)

    Article  ADS  Google Scholar 

  10. A. Larkin, A. Varlamov, Theory of Fluctuations in Superconductors (Oxford Univrersity Press, Oxford, 2005)

    Book  MATH  Google Scholar 

  11. W.K. Kwok, S. Fleshler, U. Welp, V.M. Vinokur, J. Downey, G.W. Crabtree, Phys. Rev. Lett. 69, 3370 (1992)

    Article  ADS  Google Scholar 

  12. H. Safar, P.L. Gammel, D.A. Huse, D.J. Bishop, J.P. Rice, D.M. Ginsberg, Phys. Rev. Lett. 69, 824 (1992)

    Article  ADS  Google Scholar 

  13. H. Safar, P.L. Gammel, D.A. Huse, D.J. Bishop, W.C. Lee, J. Giapintzakis, D.M. Ginsberg, Phys. Rev. Lett. 70, 800 (1993)

    Article  Google Scholar 

  14. W.K. Kwok, J. Fendrich, S. Fleshler, U. Welp, J. Downey, G.W. Crabtree, Phys. Rev. Lett. 72, 1092 (1994)

    Article  ADS  Google Scholar 

  15. W. Jiang, N.-C. Yeh, D.S. Reed, U. Kriplani, F. Holtzberg, Phys. Rev. Lett. 74, 1438 (1994)

    Article  ADS  Google Scholar 

  16. K. Shibata, T. Nishizaki, T. Sasaki, N. Kobayashi, Phys. Rev. B 66, 214518 (2002)

    Article  ADS  Google Scholar 

  17. R. Ikeda, T. Ohmi, T. Tsuneto, J. Phys. Soc. Jpn. 58, 1377 (1989)

    Article  ADS  Google Scholar 

  18. D.T. Fuchs, E. Zeldov, D. Majer, R.A. Doyle, T. Tamegai, S. Ooi, M. Konczykowski, Phys. Rev. B 54, R796 (1996)

    Article  ADS  Google Scholar 

  19. E. Zeldov, D. Majer, M. Konczycowski, V.B. Geshkenbein, V.M. Vinokur, H. Shtrikman, Nature 375, 373 (1995)

    Article  ADS  Google Scholar 

  20. R. Cubitt, E.M. Forgan, G. Yang, S.L. Lee, D. Mck Paul, H.A. Mook, M. Yethiraj, P.H. Kes, T.W. Li, A.A. Menovsky, Z. Tarnawski, K. Mortensen, Nature 365, 407 (1993)

    Article  ADS  Google Scholar 

  21. A. Oral, J.C. Barnard, S.J. Bending, I.I. Kaya, S. Ooi, T. Tamegai, M. Henini, Phys. Rev. Lett. 80, 3610 (1998)

    Article  ADS  Google Scholar 

  22. R. Liang, D.A. Bonn, W.N. Hardy, Phys. Rev. Lett. 76, 835 (1996)

    Article  ADS  Google Scholar 

  23. U. Welp, J.A. Fendrich, W.K. Kwok, G.W. Crabtree, B.W. Veal, Phys. Rev. Lett. 76, 4809 (1996)

    Article  ADS  Google Scholar 

  24. A. Schilling, R.A. Fisher, N.E. Phillips, U. Welp, D. Dasgupta, W.K. Kwok, G.W. Crabtree, Nature 382, 791 (1996)

    Article  ADS  Google Scholar 

  25. A. Junod, M. Roulin, J.-Y. Genoud, B. Revaz, A. Erb, E. Walker, Physica C 275, 245 (1997)

    Article  ADS  Google Scholar 

  26. R.H. Koch, V. Foglietti, W.J. Gallagher, G. Koren, A. Gupta, M.P. Fisher, Phys. Rev. Lett. 63, 1511 (1989)

    Article  ADS  Google Scholar 

  27. T. Nishizaki, T. Naito, S. Okayasu, A. Iwase, N. Kobayashi, Phys. Rev. B 61, 3649 (2000)

    Article  ADS  Google Scholar 

  28. R. Okazaki, H. Shishido, T. Shibauchi, M. Konczykowski, A. Buzdin, Y. Matsuda, Phys. Rev. B 76, 224529 (2007)

    Article  ADS  Google Scholar 

  29. K. Izawa, H. Yamaguchi, Y. Matsuda, H. Shishido, R. Settai, Y. Onuki, Phys. Rev. Lett. 87, 057002 (2001)

    Article  ADS  Google Scholar 

  30. T. Tayama, A. Harita, T. Sakakibara, Y. Haga, H. Shishido, R. Settai, Y. Onuki, Phys. Rev. B 65, 180504(R) (2002)

    Google Scholar 

  31. H.A. Radovan, N.A. Fortune, T.P. Murphy, S.T. Hannahs, E.C. Palm, S.W. Tozer, D. Hall, Nature 25, 51 (2003)

    Article  ADS  Google Scholar 

  32. A. Bianchi, R. Movshovich, C. Capan, P.G. Pagliuso, J.L. Sarrao, Phys. Rev. Lett. 91, 187004 (2003)

    Article  ADS  Google Scholar 

  33. P. Fulde, R.A. Ferrell, Phys. Rev. 135, A550 (1964)

    Article  ADS  Google Scholar 

  34. A. I. Larkin, Y. N. Ovchinnikov, Zh. Eksp. Teor. Fiz. 47, 1136 (1964) (Sov. Phys. JETP 20, 762 (1965))

    Google Scholar 

  35. Y. Matsuda, H. Shimahara, J. Phys. Soc. Jpn. 76, 051005 (2007)

    Article  ADS  Google Scholar 

  36. T. Mizushima, K. Machida, M. Ichioka, Phys. Rev. Lett. 95, 117003 (2005)

    Article  ADS  Google Scholar 

  37. Y. Kasahara, T. Iwasawa, H. Shishido, T. Shibauchi, K. Behnia, Y. Haga, T.D. Matsuda, Y. Onuki, M. Sigrist, Y. Matsuda, Phys. Rev. Lett. 99, 116402 (2007)

    Article  ADS  Google Scholar 

  38. K. Behnia, D. Jaccard, J. Sierro, P. Lejay, J. Flouquet, Physica C 196, 57 (1992)

    Article  ADS  Google Scholar 

  39. Y. Kasahara, Y. Shimono, T. Shibauchi, Y. Matsuda, S. Yonezawa, Y. Muraoka, Z. Hiroi, Phys. Rev. Lett. 96, 247004 (2006)

    Article  ADS  Google Scholar 

  40. D.R. Niven, R.A. Smith, Phys. Rev. B 66, 214505 (2002)

    Article  ADS  Google Scholar 

  41. S. Vishveshwara, M.P.A. Fisher, Phys. Rev. B 64, 134507 (2001)

    Article  ADS  Google Scholar 

  42. M.J.W. Dodgson, V.B. Geshkenbein, H. Nordborg, G. Blatter, Phys. Rev. Lett. 80, 837 (1998)

    Article  ADS  Google Scholar 

  43. D.K. Finnemore, T.F. Stromberg, C.A. Swenson, Phys. Rev. 149, 231 (1966)

    Article  ADS  Google Scholar 

  44. N. Kokubo, T. Asada, K. Kadowaki, K. Takita, T.G. Sorop, P.H. Kes, Phys. Rev. B 75, 184512 (2007)

    Article  ADS  Google Scholar 

  45. D. Saint-James, G. Sarma, E.J. Thomas, Type II Superconductivity (Pergamon Press, Oxford, 1969)

    Google Scholar 

  46. E.A. Knetsch, A.A. Menovsky, G.J. Nieuwenhuys, J.A. Mydosh, A. Amato, R. Feyerherm, F.N. Gygaxb, A. Schenck, R.H. Heffner, D.E. MacLaughlin, Physica B 186, 300 (1993)

    Article  ADS  Google Scholar 

  47. A. Amato, Rev. Mod. Phys. 69, 1119 (1997)

    Article  ADS  Google Scholar 

  48. H. Ohkuni, Y. Inada, Y. Tokiwa, K. Sakurai, R. Settai, T. Honma, Y. Haga, E. Yamamoto, Y. Onuki, H. Yamagami, S. Takahashi, T. Yanagisawa, Philo. Mag. B 79, 1045 (1999)

    ADS  Google Scholar 

  49. J.R. Clem, Phys. Rev. B 43, 7837 (1991)

    Article  ADS  Google Scholar 

  50. T. Shibauchi, T. Nakano, M. Sato, T. Kisu, N. Kameda, N. Okuda, S. Ooi, T. Tamegai, Layer phase coherence in vortex matter phases of Bi\(_2\)Sr\(_2\)CaCu\(_2\)O\(_{8+y}\). Phys. Rev. Lett. 83, 1010 (1999)

    Article  ADS  Google Scholar 

  51. M.B. Gaifullin, Y. Matsuda, N. Chikumoto, J. Shimoyama, K. Kishio, Phys. Rev. Lett. 84, 2945 (2000)

    Article  ADS  Google Scholar 

  52. Mi-Ock Mun, Sung-Ik Lee, W.C. Lee, P.C. Canfield, B.K. Cho, D.C. Johnston, Phys. Rev. Lett. 76, 2790 (1996)

    Article  ADS  Google Scholar 

  53. A. S. Melnukov, J. Phys. Condens. Matt. 21, 4219 (1999)

    Google Scholar 

  54. M. Franz, Z. Tešanović, Phys. Rev. Lett. 84, 554 (2000)

    Article  ADS  Google Scholar 

  55. R. Ocaña, A. Taldekov, P. Esquinazi, Y. Kopelevich, J. Low Temp, Phys. 123, 181 (2001)

    Google Scholar 

  56. Y. Kasahara, Y. Nakajima, K. Izawa, Y. Matsuda, K. Behnia, H. Shishido, R. Settai, Y. Onuki, Phys. Rev. B 72, 214515 (2005)

    Article  ADS  Google Scholar 

  57. Y. Kasahara, H. Shishido, T. Shibauchi, Y. Haga, T.D. Matsuda, Y. Onuki, Y. Matsuda, New J. Phys. 11, 055061 (2009)

    Article  ADS  Google Scholar 

  58. K. Yano, T. Sakakibara, T. Tayama, M. Yokoyama, H. Amitsuka, Y. Homma, P. Miranovic, M. Ichioka, Y. Tsutsumi, K. Machida, Phys. Rev. Lett. 100, 017004 (2008)

    Article  ADS  Google Scholar 

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  1. Department of Physics, Nagoya University, Nagoya, Japan

    Ryuji Okazaki

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  1. Ryuji Okazaki
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Okazaki, R. (2013). Vortex Lattice Melting Transition. In: Hidden Order and Exotic Superconductivity in the Heavy-Fermion Compound URu2Si2. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54592-7_5

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