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The European Physical Journal Special Topics

, Volume 224, Issue 6, pp 975–996 | Cite as

Novel types of quantum criticality in heavy-fermion systems

  • P. Gegenwart
  • F. Steglich
  • C. Geibel
  • M. Brando
Review
Part of the following topical collections:
  1. Quantum Phase Transitions in Correlated Electron Systems

Abstract

Quantum criticality arises from continuous changes of matter at absolute zero temperature. It can have vast reaching influence on wide regions of phase space and is often connected to the occurrence of non-Fermi liquid behavior and unconventional superconductivity. Various different types of quantum criticality have been observed over the last years and 4f-electron based heavy-fermion metals have become prototype materials in which quantum criticality is easily realized by application of pressure or magnetic field, as well as suitable changes in chemical composition. Using low-temperature thermodynamic, magnetic and transport experiments on clean prototype materials we investigate novel types of quantum criticality arising from ferromagnetic fluctuations and strong geometrical frustration, as well as quantum criticality hidden by unconventional superconductivity.

Keywords

European Physical Journal Special Topic Quantum Phase Transition Quantum Critical Point Quantum Criticality Correlate Electron System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    G.R. Stewart, Rev. Mod. Phys. 73, 797 (2001)ADSCrossRefGoogle Scholar
  2. 2.
    H. v. Löhneysen, A. Rosch, M. Vojta, P. Wölfle, Rev. Mod. Phys. 79, 1015 (2007)ADSCrossRefGoogle Scholar
  3. 3.
    P. Gegenwart, Q. Si, F. Steglich, Nature Phys. 4, 186 (2008)ADSCrossRefGoogle Scholar
  4. 4.
    S. Doniach, Physica B+C, 91, 231 (1977)ADSCrossRefGoogle Scholar
  5. 5.
    P. Gegenwart, T. Westerkamp, C. Krellner, T. Tokiwa, S. Paschen, C. Geibel, F. Steglich, E. Abrahams, Q. Si, Science 315, 969 (2007)ADSCrossRefGoogle Scholar
  6. 6.
    J. Hertz, Phys. Rev. B 14, 1165 (1976)ADSCrossRefGoogle Scholar
  7. 7.
    A.J. Millis, Phys. Rev. B 48, 7183 (1993)ADSCrossRefGoogle Scholar
  8. 8.
    T. Moriya, Spin fluctuations in itinerant electron magnetism (Springer, Berlin, 1985)Google Scholar
  9. 9.
    J. Arndt, O. Stockert, K. Schmalzl, E. Faulhaber, H.S. Jeevan, C. Geibel, W. Schmidt, M. Loewenhaupt, F. Steglich, Phys. Rev. Lett. 106, 246401 (2011)ADSCrossRefGoogle Scholar
  10. 10.
    O. Stockert, J. Arndt, E. Faulhaber, C. Geibel, H.S. Jeevan, S. Kirchner, M. Loewenhaupt, K. Schmalzl, W. Schmidt, Q. Si, F. Steglich, Nature Phys. 7, 119 (2011)ADSCrossRefGoogle Scholar
  11. 11.
    A. Schröder, G. Aeppli, R. Coldea, M. Adams, O. Stockert, H. v. Löhneysen, E. Bucher, R. Ramazashvili, P. Coleman, Nature 407, 351 (2000)ADSCrossRefGoogle Scholar
  12. 12.
    Q. Si, S. Rabello, K. Ingersent, J.L. Smith, Nature 413, 804 (2001)ADSCrossRefGoogle Scholar
  13. 13.
    P. Coleman, C. Pépin, Q. Si, R. Ramazashvili, J. Phys.: Condens. Matter 13, R723 (2001)ADSGoogle Scholar
  14. 14.
    T. Senthil, S. Sachdev, M. Vojta, Phys. Rev. B 69, 035111 (2004)ADSCrossRefGoogle Scholar
  15. 15.
    I. Paul, C. Pépin, M.R. Norman, Phys. Rev. Lett. 98, 026402 (2007)ADSCrossRefGoogle Scholar
  16. 16.
    C. Pépin, Phys. Rev. Lett. 98, 206401 (2007)ADSCrossRefGoogle Scholar
  17. 17.
    S. Burdin, D.R. Grempel, A. Georges, Phys. Rev. B 66, 045111 (2002)ADSCrossRefGoogle Scholar
  18. 18.
    M. Vojta, Phys. Rev. B 78, 125109 (2008)ADSCrossRefGoogle Scholar
  19. 19.
    J. Custers, P. Gegenwart, H. Wilhelm, K. Neumaier, Y. Tokiwa, O. Trovarelli, C. Geibel, F. Steglich, C. Pépin, P. Coleman, Nature 424, 524 (2003)ADSCrossRefGoogle Scholar
  20. 20.
    J. Paglione, M.A. Tanatar, D.G. Hawthorn, E. Boaknin, R.W. Hill, F. Ronning, M. Sutherland, L. Taillefer, C. Petrovic, P.C. Canfield, Phys. Rev. Lett. 91, 246405 (2003)ADSCrossRefGoogle Scholar
  21. 21.
    D. Belitz, T.R. Kirkpatrick, T. Vojta, Phys. Rev. Lett. 82, 4707 (1999)ADSCrossRefGoogle Scholar
  22. 22.
    A.V. Chubukov, C. Pépin, J. Rech, Phys. Rev. Lett. 92, 147003 (2004)ADSCrossRefGoogle Scholar
  23. 23.
    G.J. Conduit, A.G. Green, B.D. Simons, Phys. Rev. Lett. 103, 207201 (2009)ADSCrossRefGoogle Scholar
  24. 24.
    U. Karahasanovic, F. Krüger, A.G. Green, Phys. Rev. B 85, 165111 (2012)ADSCrossRefGoogle Scholar
  25. 25.
    T.R. Kirkpatrick, D. Belitz, Phys. Rev. B. 85, 134451 (2012)ADSCrossRefGoogle Scholar
  26. 26.
    C. Pfleiderer, G.J. McMullan, S.R. Julian, G.G. Lonzarich, Phys. Rev. B 55, 8330 (1997)ADSCrossRefGoogle Scholar
  27. 27.
    C. Pfleiderer, S.R. Julian, G.G. Lonzarich, Nature 414, 427 (2001)ADSCrossRefGoogle Scholar
  28. 28.
    M. Uhlarz, C. Pfleiderer, S.M. Hayden, Phys. Rev. Lett. 93, 256404 (2004)ADSCrossRefGoogle Scholar
  29. 29.
    M. Brando, W.J. Duncan, D. Moroni-Klementowicz, C. Albrecht, D. Grüner, R. Ballou, F.M. Grosche, Phys. Rev. Lett. 101, 026401 (2008)ADSCrossRefGoogle Scholar
  30. 30.
    D.A. Sokolov, M.C. Aronson, W. Gannon, Z. Fisk, Phys. Rev. Lett. 96, 116404 (2006)ADSCrossRefGoogle Scholar
  31. 31.
    S. Yamamoto, Q. Si., PNAS 107, 15704 (2001)ADSCrossRefGoogle Scholar
  32. 32.
    C. Krellner, S. Lausberg, A. Steppke, M. Brando, L. Pedrero, H. Pfau, S. Tence, H. Rosner, F. Steglich, C. Geibel, New J. Phys. 13, 103014 (2011)ADSCrossRefGoogle Scholar
  33. 33.
    A. Fernandez-Pañella, D. Braithwaite, B. Salce, G. Lapertot, J. Flouquet, Phys. Rev. B 84, 134416 (2011)ADSCrossRefGoogle Scholar
  34. 34.
    A. Steppke, R. Küchler, S. Lausberg, E. Lengye, L. Steinke, R. Borth, T. Lühmann, C. Krellner, M. Nicklas, C. Geibel, F. Steglich, M. Brando, Science 339, 933 (2013)ADSCrossRefGoogle Scholar
  35. 35.
    T. Westerkamp, M. Deppe, R. Küchler, M. Brando, C. Geibel, P. Gegenwart, A.P. Pikul, F. Steglich, Phys. Rev. Lett. 102, 206404 (2009)ADSCrossRefGoogle Scholar
  36. 36.
    E. Miranda, V. Dobrosavljevi, G. Kotliar, Phys. Rev. Lett. 78, 290 (1997)ADSCrossRefGoogle Scholar
  37. 37.
    A.H. Castro Neto, G. Castilla, B.A. Jones, Phys. Rev. Lett. 81, 3531 (1998)ADSCrossRefGoogle Scholar
  38. 38.
    T. Vojta, J. Phys. A 39, R143 (2006)MathSciNetADSCrossRefzbMATHGoogle Scholar
  39. 39.
    L. Zhu, M. Garst, A. Rosch, Q. Si, Phys. Rev. Lett. 91, 066404 (2003)ADSCrossRefGoogle Scholar
  40. 40.
    R. Küchler, N. Oeschler, P. Gegenwart, T. Cichorek, K. Neumaier, O. Tegus, C. Geibel, J.A. Mydosh, F. Steglich, L. Zhu, Q. Si, Phys. Rev. Lett. 91, 066405 (2003)ADSCrossRefGoogle Scholar
  41. 41.
    M. Garst, A. Rosch, Phys. Rev. B 72, 20 (2005)Google Scholar
  42. 42.
    K.-S. Kim, A. Benlagra, C. Pépin, Phys. Rev. Lett. 101, 246403 (2008)ADSCrossRefGoogle Scholar
  43. 43.
    S. Lausberg, J. Spehling, A. Steppke, A. Jesche, H. Luetkens, A. Amato, C. Baines, C. Krellner, M. Brando, C. Geibel, H.-H. Krauss, F. Steglich, Phys. Rev. Lett. 109, 216402 (2012)ADSCrossRefGoogle Scholar
  44. 44.
    E.M. Brüning, C. Krellner, M. Baenitz, A. Jesche, F. Steglich, C. Geibel, Phys. Rev. Lett. 101, 117206 (2008)ADSCrossRefGoogle Scholar
  45. 45.
    D.A. Zocco, R.E. Baumbach, J.J. Hamlin, M. Janoschek, I.K. Lum, M.A. McGuire, A.S. Sefat, B.C. Sales, R. Jin, D. Mandrus, J.R. Jeffries, S.T. Weir, Y.K. Vohra, M.B. Maple, Phys. Rev. B 83, 094528 (2011)ADSCrossRefGoogle Scholar
  46. 46.
    Y. Luo, Y. Li, S. Jiang, J. Dai, G. Cao, Z. Xu, Phys. Rev. B 81, 134422 (2010)ADSCrossRefGoogle Scholar
  47. 47.
    A. Jesche, Ph.D. thesis, University of Dresden, 2011Google Scholar
  48. 48.
    A. Jesche, T. Förster, J. Spehling, M. Nicklas, M. de Souza, R. Gumeniuk, H. Luetkens, T. Goltz, C. Krellner, M. Lang, J. Sichelschmidt, H.-H. Klauss, C. Geibel, Phys. Rev. B 86, 020501 (2012)ADSCrossRefGoogle Scholar
  49. 49.
    C. de la Cruz, W.Z. Hu, S. Li, Q. Huang, J.W. Lynn, M.A. Green, G.F. Chen, N.L. Wang, H.A. Mook, Q. Si, P. Dai, Phys. Rev. Lett. 104, 017204 (2010)ADSCrossRefGoogle Scholar
  50. 50.
    K. Mydeen, E. Lengyel, A. Jesche, C. Geibel, M. Nicklas, Phys. Rev. B 86, 134523 (2012)ADSCrossRefGoogle Scholar
  51. 51.
    M.G. Holder, A. Jesche, P. Lombardo, R. Hayn, D.V. Vyalikh, S. Danzenbächer, K. Kummer, C. Krellner, C. Geibel, Y. Kucherenko, T.K. Kim, R. Follath, S.L. Molodtsov, C. Laubschat, Phys. Rev. Lett. 104, 096402 (2010)ADSCrossRefGoogle Scholar
  52. 52.
    C. Krellner, Ph.D. thesis, University of Dresden, 2009Google Scholar
  53. 53.
    S. Kitagawa, H. Ikeda, Y. Nakai, T. Hattori, K. Ishida, Y. Kamihara, M. Hirano, H. Hosono, Phys. Rev. Lett. 107, 277002 (2011)ADSCrossRefGoogle Scholar
  54. 54.
    A. Jesche, C. Krellner (to be published)Google Scholar
  55. 55.
    D. Moroni-Klementowicz, M. Brando, C. Albrecht, W.J. Duncan, F.M. Grosche, D. Grüner, G. Kreiner, Phys. Rev. B 79, 224410 (2009)ADSCrossRefGoogle Scholar
  56. 56.
    S. Lausberg, Ph.D. thesis, University of Dresden, 2013Google Scholar
  57. 57.
    J.A. Mydosh, Spin glasses: An experimental introduction (Taylor & Francis, London, 1993)Google Scholar
  58. 58.
    S.J. Thomson, F. Krüger, A.G. Green, Phys. Rev. B 87, 224203 (2013)ADSCrossRefGoogle Scholar
  59. 59.
    S. Deputier, O. Pena, T. Le Bihan, J.Y. Pivan, R. Guerin, Physica B 233, 26 (1997)ADSCrossRefGoogle Scholar
  60. 60.
    C. Krellner, C. Geibel, J. Phys.: Conf. Ser. 391, 012032 (2012)ADSGoogle Scholar
  61. 61.
    Z. Huesges, O. Stockert, M.M. Koza, C. Krellner, C. Geibel, F. Steglich, Physica Status Solidi (b) 250, 522 (2013)ADSCrossRefGoogle Scholar
  62. 62.
    C. Krellner, N.S. Kini, E.M. Brüning, K. Koch, H. Rosner, M. Nicklas, M. Baenitz, C. Geibel, Phys. Rev. B 76, 104418 (2007)ADSCrossRefGoogle Scholar
  63. 63.
    P. Bonville, P. Bellot, J.A. Hodges, P. Imbert, G. Jéhanno, G. Le Bras, J. Hammann, L. Leylekian, G. Chevrier, P. Thuéry, L. D’Onofrio, A. Hamzic, A. Barthélémy, Physica B: Condensed Matter 182, 105 (1992)ADSCrossRefGoogle Scholar
  64. 64.
    S. Lausberg, A. Hannaske, A. Steppke, L. Steinke, T. Gruner, L. Pedrero, C. Krellner, C. Klingner, M. Brando, C. Geibel, F. Steglich, Phys. Rev. Lett. 110, 256402 (2013)ADSCrossRefGoogle Scholar
  65. 65.
    E.C. Andrade, M. Brando, C. Geibel, M. Vojta, Phys. Rev. B 90, 075138 (2014)ADSCrossRefGoogle Scholar
  66. 66.
    E. Ising, Z. Phys. A 31, 253 (1925)CrossRefGoogle Scholar
  67. 67.
    F. Krüger, F., C.J. Pedder, A.G. Green, Phys. Rev. Lett. 113, 147001 (2014)ADSCrossRefGoogle Scholar
  68. 68.
    J. Spehling, M. Günther, C. Krellner, N. Yéche, H. Luetkens, C. Baines, C. Geibel, H.-H. Klauss, Phys. Rev. B 85, 140406 (2012)ADSCrossRefGoogle Scholar
  69. 69.
    F.M. Grosche, S.R. Julian, N.D. Mathur, F.V. Carter, G.G. Lonzarich, Physica B 237, 197 (1997)ADSCrossRefGoogle Scholar
  70. 70.
    R. Sarkar, P. Khuntia, C. Krellner, C. Geibel, F. Steglich, M. Baenitz, Phys. Rev. B 85, 140409 (2012)ADSCrossRefGoogle Scholar
  71. 71.
    C. Pfleiderer, P. Böni, T. Keller, U.K. Röß ler, A. Rosch, Science 316, 1871 (2007)ADSCrossRefGoogle Scholar
  72. 72.
    S. Paschen, T. Lühmann, S. Wirth, P. Gegenwart, O. Trovarelli, C. Geibel, F. Steglich, P. Coleman, Q. Si, Nature 432, 881 (2004)ADSCrossRefGoogle Scholar
  73. 73.
    BalentsL., Nature 464, 199 (2010) and references thereinADSCrossRefGoogle Scholar
  74. 74.
    S. Burdin, D.R. Grempel, A. Georges, Phys. Rev. B 66 (2002)Google Scholar
  75. 75.
    T. Senthil, M. Vojta, S. Sachdev, Phys. Rev. B 69, 035111 (2004)ADSCrossRefGoogle Scholar
  76. 76.
    M. Vojta, Phys. Rev. B 78, 125109 (2008)ADSCrossRefGoogle Scholar
  77. 77.
    Q. Si, Physica B 378-380, 23 (2006)MathSciNetADSCrossRefGoogle Scholar
  78. 78.
    S. Friedemann, T. Westerkamp, M. Brando, N. Oeschler, S. Wirth, P. Gegenwart, C. Krellner, C. Geibel, F. Steglich, Nature Phys. 5, 465 (2009)ADSCrossRefGoogle Scholar
  79. 79.
    Q. Si, Phys. Status Solidi B 247, 476 (2010)CrossRefGoogle Scholar
  80. 80.
    P. Coleman, A. Nevidomskyy, J. Low Temp. Phys. 161, 182 (2010)ADSCrossRefGoogle Scholar
  81. 81.
    J. Custers, P. Gegenwart, C. Geibel, F. Steglich, P. Coleman, S. Paschen, Phys. Rev. Lett. 104, 186402 (2010)ADSCrossRefGoogle Scholar
  82. 82.
    M.S. Kim, M.C. Aronson, Phys. Rev. Lett. 110, 017201 (2013)ADSCrossRefGoogle Scholar
  83. 83.
    V. Fritsch, N. Bagrets, G. Goll, W. Kittler, M.J. Wolf, K. Grube, C.-L. Huang, H. v. Löhneysen, Phys. Rev. B 89, 054416 (2014)ADSCrossRefGoogle Scholar
  84. 84.
    G.M. Schmiedeshoff, E.D. Mun, A.W. Lounsbury, S.J. Tracy, E.C. Palm, S.T. Hannahs, J.-H. Park, T.P. Murphy, S.L. Budko, P.C. Canfield, Phys. Rev. B 83, 180408 (2011)ADSCrossRefGoogle Scholar
  85. 85.
    Y. Tokiwa, A. Pikul, P. Gegenwart, F. Steglich, S.L. Budko, P.C. Canfield, Phys. Rev. B 73, 094435 (2006)ADSCrossRefGoogle Scholar
  86. 86.
    E. Mun, S.L. Budko, P.C. Canfield, Phys. Rev. B 82, 174403 (2010)ADSCrossRefGoogle Scholar
  87. 87.
    Y. Tokiwa, M. Garst, P. Gegenwart, S.L. Budko, P.C. Canfield, Phys. Rev. Lett. 111, 116401 (2013)ADSCrossRefGoogle Scholar
  88. 88.
    R. Pottgen, B. Gibson, R.K. Kremer, Z. Kristallogr. - New Cryst. Struct. 212, 58 (1997)CrossRefGoogle Scholar
  89. 89.
    Y. Tokiwa, P. Gegenwart, Rev. Sci. Instr. 82, 013905 (2011)ADSCrossRefGoogle Scholar
  90. 90.
    J.K. Dong, Y. Tokiwa, S.L. Bud’ko, P.C. Canfield, P. Gegenwart, Phys. Rev. Lett. 110, 176402 (2013)ADSCrossRefGoogle Scholar
  91. 91.
    H. Pfau, S. Hartmann, U. Stockert, P. Sun, S. Lausberg, M. Brando, S. Friedemann, C. Krellner, C. Geibel, S. Wirth, S. Kirchner, E. Abrahams, Q. Si, F. Steglich, Nature 484, 493 (2012)ADSCrossRefGoogle Scholar
  92. 92.
    S. Nakatsuji, Y. Machida, Y. Maeno, T. Tayama, T. Sakakibara, J. van Duijn, L. Balicas, J.N. Millican, R.T. Macaluso, J.Y. Chan, Phys. Rev. Lett. 96, 087204 (2006)ADSCrossRefGoogle Scholar
  93. 93.
    D.J.P. Morris, D.A. Tennant, S.A. Grigera, B. Klemke, C. Castelnovo, R. Moessner, C. Czternasty, M. Meissner, K.C. Rule, J.-U. Hoffmann, K. Kiefer, S. Gerischer, D. Slobinsky, R.S. Perry, Science 326, 411 (2009)ADSCrossRefGoogle Scholar
  94. 94.
    Y. Tokiwa, J.J. Ishikawa, S. Nakatsuji, P. Gegenwart, Nature Mat. 13, 356 (2014)ADSCrossRefGoogle Scholar
  95. 95.
    Y. Machida, S. Nakatsuji, S. Onoda, T. Tayama, T. Sakakibara, Nature 463, 210 (2010)ADSCrossRefGoogle Scholar
  96. 96.
    K. Kimura, S. Nakatsuji, J.-J. Wen, C. Broholm, M.B. Stone, E. Nishibori, H. Sawa, Nature Comm. 4, 1934 (2013)ADSGoogle Scholar
  97. 97.
    S. Singh, C. Capan, M. Nicklas, M. Rams, A. Gladun, H. Lee, J.F. DiTusa, Z. Fisk, F. Steglich, S. Wirth, Phys. Rev. Lett. 98, 057001 (2007)ADSCrossRefGoogle Scholar
  98. 98.
    S. Zaum, K. Grube, R. Schäfer, E.D. Bauer, J.D. Thompson, H.V. Löhneysen, Phys. Rev. Lett. 106, 087003 (2011)ADSCrossRefGoogle Scholar
  99. 99.
    Y. Tokiwa, E.D. Bauer, P. Gegenwart, Phys. Rev. Lett. 111, 107003 (2013)ADSCrossRefGoogle Scholar
  100. 100.
    G. Seyfarth, J.P. Brison, G. Knebel, D. Aoki, G. Lapertot, J. Flouquet, Phys. Rev. Lett. 101, 046401 (2008)ADSCrossRefGoogle Scholar
  101. 101.
    M. Brando, et al., Rev. Mod. Phys. (unpublished)Google Scholar
  102. 102.
    J. Custers, K-A. Lorenzer, M. Müller, A. Prokofiev, A. Sidorenko, H. Winkler, A.M. Strydom, Y. Shimura, T. Sakakibara, R. Yu, Q. Si, S. Paschen, Nat. Mater. 11, 189 (2012)ADSCrossRefGoogle Scholar
  103. 103.
    Y. Singh, Y. Tokiwa, J. Dong, P. Gegenwart, Phys. Rev. B 88, 220413(R) (2013)ADSCrossRefGoogle Scholar

Copyright information

© EDP Sciences and Springer 2015

Authors and Affiliations

  • P. Gegenwart
    • 1
  • F. Steglich
    • 2
  • C. Geibel
    • 2
  • M. Brando
    • 2
  1. 1.Experimentalphysik VI, Center for Electronic Correlations and Magnetism, Augsburg UniversityAugsburgGermany
  2. 2.Max-Planck-Institut für Chemische Physik Fester StoffeDresdenGermany

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