Skip to main content
SpringerLink
Log in

Quantum Criticality of Heavy-Fermion Compounds

  • Chapter
  • First Online:
Theory of Heavy-Fermion Compounds

Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 182))

  • 1686 Accesses

Abstract

Chapter 17 is devoted to the quantum criticality of quantum spin liquids. In this chapter we continue to consider the nature of quantum criticality in HF compounds. The quantum criticality induced by the fermion condensation quantum phase transition extends over a wide range in the \(T-B\) phase diagram. As we shall see, the quantum criticality in all such different HF compounds, as high-\(T_c\) superconductors, HF metals, compounds with quantum spin liquids, quasicrystals, and 2D quantum liquids, is of the same nature. This challenging similarity between different HF compounds expresses universal physics that transcends the microscopic details of the compounds. This uniform behavior, induced by the universal quantum critical physics, allows us to view it as the main characteristic of new state of matter. We construct the \(T-B\) phase diagrams, and explain main features of experimental facts of low-temperature thermodynamic properties in terms of FCQPT that leads to the formation of flat bands.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. C. Proust, E. Boaknin, R.W. Hill, L. Taillefer, A.P. Mackenzie, Phys. Rev. Lett. 89, 147003 (2002)

    Article  ADS  Google Scholar 

  2. R. Bel, K. Behnia, Y. Nakajima, K. Izawa, Y. Matsuda, H. Shishido, R. Settai, Y. Onuki, Phys. Rev. Lett. 92, 217002 (2004)

    Article  ADS  Google Scholar 

  3. T. Shibauchi, L. Krusin-Elbaum, M. Hasegawa, Y. Kasahara, R. Okazaki, Y. Matsuda, Proc. Natl. Acad. Sci. USA 105, 7120 (2008)

    Article  ADS  Google Scholar 

  4. A.P. Mackenzie, S.R. Julian, D.C. Sinclair, C.T. Lin, Phys. Rev. B 53, 5848 (1996)

    Article  ADS  Google Scholar 

  5. N.P. Butch, K. Jin, K. Kirshenbaum, R.L. Greene, J. Paglione, PNAS 109, 8440 (2012)

    Article  ADS  Google Scholar 

  6. G.Q. Zheng, T. Sato, Y. Kitaoka, M. Fujita, K. Yamada, Phys. Rev. Lett. 90, 197005 (2003)

    Article  ADS  Google Scholar 

  7. J. Korringa, Phys. (Utrecht) 16, 601 (1950)

    Article  MATH  ADS  Google Scholar 

  8. P. Gegenwart, J. Custers, C. Geibel, K. Neumaier, K.T.T. Tayama, O. Trovarelli, F. Steglich, Phys. Rev. Lett. 89, 056402 (2002)

    Article  ADS  Google Scholar 

  9. D. Shechtman, I. Blech, D. Gratias, J.W. Cahn, Phys. Rev. Lett. 53, 1951 (1984)

    Article  ADS  Google Scholar 

  10. A.I. Goldman, R.F. Kelton, Rev. Mod. Phys. 65, 213 (1993)

    Article  ADS  Google Scholar 

  11. D. Mayou, G.T. de Laissardière, in Quasicrystals, ed. by T. Fujiwara, Y. Ishii. Handbook of Metal Physics (Elsevier Science, Amsterdam, 2008), p. 209

    Google Scholar 

  12. T. Fujiwara, T. Yokokawa, Phys. Rev. Lett. 66, 333 (1991)

    Article  ADS  Google Scholar 

  13. T. Fujiwara, in Physical Properties of Quasicrystals, ed. by S.Z. M. Springer Series in Solid-State Sciences (Springer, Berlin, 1999), p. 438

    Google Scholar 

  14. R. Widmer, O. Gröning, P. Ruffieux, P. Gröning, Phil. Mag. 86, 781 (2006)

    Article  ADS  Google Scholar 

  15. R. Widmer, P. Gröning, M. Feuerbacher, O. Gröning, Phys. Rev. B 79, 104202 (2009)

    Article  ADS  Google Scholar 

  16. T. Fujiwara, S. Yamamoto, G.T. de Laissardière, Phys. Rev. Lett. 71, 4166 (1993)

    Article  ADS  Google Scholar 

  17. G.T. de Laissardière, Z. Kristallogr. 224, 123 (2009)

    Google Scholar 

  18. K. Deguchi, S. Matsukawa, N.K. Sato, T. Hattori, K. Ishida, H. Takakura, T. Ishimasa, Nat. Mat. 11, 1013 (2012)

    Google Scholar 

  19. V.R. Shaginyan, A.Z. Msezane, K.G. Popov, G.S. Japaridze, V.A. Khodel, Phys. Rev. B 87, 245122 (2013)

    Article  ADS  Google Scholar 

  20. V.R. Shaginyan, M.Y. Amusia, A.Z. Msezane, K.G. Popov, Phys. Rep. 492, 31 (2010)

    Article  ADS  Google Scholar 

  21. V.R. Shaginyan, Phys. At. Nuclei 74, 1107 (2011)

    Article  ADS  Google Scholar 

  22. V.A. Khodel, J.W. Clark, M.V. Zverev, Phys. At. Nuclei 74, 1237 (2011)

    Article  ADS  Google Scholar 

  23. L.D. Landau, Zh Eksp, Teor. Fiz. 30, 1058 (1956)

    Google Scholar 

  24. J.W. Clark, V.A. Khodel, M.V. Zverev, Phys. Rev. B 71, 012401 (2005)

    Article  ADS  Google Scholar 

  25. E.M. Lifshitz, L. Pitaevskii, Statistical Physics, Part 2 (Butterworth-Heinemann, Oxford, 2002)

    Google Scholar 

  26. V.A. Khodel, M.V. Zverev, J.W. Clark, JETP Lett. 81, 315 (2005)

    Article  ADS  Google Scholar 

  27. V.A. Khodel, V.R. Shaginyan, V.V. Khodel, Phys. Rep. 249, 1 (1994)

    Article  ADS  Google Scholar 

  28. J. Dukelsky, V. Khodel, P. Schuck, V. Shaginyan, Z. Phys. 102, 245 (1997)

    Article  Google Scholar 

  29. R. Lifshitz, Z. Phys. 51, 1156 (2011)

    Google Scholar 

  30. V.R. Shaginyan, A.Z. Msezane, K.G. Popov, J.W. Clark, M.V. Zverev, V.A. Khodel, Phys. Rev. B 86, 085147 (2012)

    Article  ADS  Google Scholar 

  31. N. Oeschler, S. Hartmann, A. Pikul, C. Krellner, C. Geibel, F. Steglich, Phys. B 403, 1254 (2008)

    Article  ADS  Google Scholar 

  32. D. Takahashi, S. Abe, H. Mizuno, D. Tayurskii, K. Matsumoto, H. Suzuki, Y. Onuki, Phys. Rev. B 67, 180407(R) (2003)

    Article  ADS  Google Scholar 

  33. A.W. Rost, S.A. Grigera, J.A.N. Bruin, R.S. Perry, D. Tian, S. Raghu, S.A. Kivelson, A.P. Mackenzie, Proc. Natl. Acad. Sci. USA 108, 16549 (2011)

    Google Scholar 

  34. R.A. Borzi, S.A. Grigera, J. Farrell, R.S. Perry, S.J.S. Lister, S.L. Lee, D.A. Tennant, Y. Maeno, A.P. Mackenzie, Science 315, 214 (2007)

    Article  ADS  Google Scholar 

  35. A.V. Silhanek, N. Harrison, C.D. Batista, A.L.M. Jaime, H. Amitsuka, J.A. Mydosh, Phys. Rev. Lett. 95, 026403 (2005)

    Article  ADS  Google Scholar 

  36. J.S. Kim, B. Andraka, G. Fraunberger, G.R. Stewart, Phys. Rev. B 41, 541 (1990)

    Article  ADS  Google Scholar 

  37. V.R. Shaginyan, K.G. Popov, V.A. Stephanovich, Europhys. Lett. 79, 47001 (2007)

    Article  ADS  Google Scholar 

  38. M. Neumann, J. Nyéki, B. Cowan, J. Saunders, Science 317, 1356 (2007)

    Article  ADS  Google Scholar 

  39. V.R. Shaginyan, A.Z. Msezane, K.G. Popov, V.A. Stephanovich, Phys. Rev. Lett. 100, 096406 (2008)

    Article  ADS  Google Scholar 

  40. A. Casey, H. Patel, J. Cowan, B.P. Saunders, Phys. Rev. Lett. 90, 115301 (2003)

    Article  ADS  Google Scholar 

  41. V.A. Khodel, V.R. Shaginyan, JETP Lett. 51, 553 (1990)

    ADS  Google Scholar 

  42. M.Y. Amusia, V.R. Shaginyan, Phys. Rev. B 63, 224507 (2001)

    Article  ADS  Google Scholar 

  43. G.E. Volovik, in Quantum Analogues: From Phase Transitions to Black Holes and Cosmology, ed. by W.G. Unruh, R. Schutzhold. Springer Lecture Notes in Physics, vol. 718 (Springer, Orlando, 2007), p. 31

    Google Scholar 

  44. V.R. Shaginyan, M.Y. Amusia, K.G. Popov, Phys. Usp. 50, 563 (2007)

    Article  ADS  Google Scholar 

  45. M. Pfitzner, P. Wölfle, Phys. Rev. B 33, 2003 (1986)

    Article  ADS  Google Scholar 

  46. R. Movshovich, M. Jaime, J.D. Thompson, C. Petrovic, Z. Fisk, P.G. Pagliuso, J.L. Sarrao, Phys. Rev. Lett. 91, 5152 (2001)

    Article  ADS  Google Scholar 

  47. P. Gegenwart, T. Westerkamp, C. Krellner, Y. Tokiwa, S. Paschen, C. Geibel, F. Steglich, E. Abrahams, Q. Si, Science 315, 969 (2007)

    Google Scholar 

  48. V.R. Shaginyan, M.Y. Amusia, A.Z. Msezane, K.G. Popov, V.A. Stephanovich, Phys. Lett. A 373, 986 (2009)

    Article  ADS  Google Scholar 

  49. M.Y. Amusia, V.R. Shaginyan, Contrib. Plasma Phys. 53, 721 (2013)

    Article  ADS  Google Scholar 

  50. D. Yudin, D. Hirschmeier, H. Hafermann, O. Eriksson, A.I. Lichtenstein, M.I. Katsnelson, Phys. Rev. Lett. 112, 070403 (2014)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Racah Institute of Physics, The Hebrew University, Jerusalem, Israel

    Miron Ya. Amusia

  2. A. F. Ioffe Physical-Technical Institute, St. Petersburg, Russian Federation

    Miron Ya. Amusia

  3. Ural Division Komi Science Center, Russian Academy of Sciences, Syktyvkar, Russia

    Konstantin G. Popov

  4. Petersburg Nuclear Physics Institute, Gatchina, Russia

    Vasily R. Shaginyan

  5. CTSPS, Clark Atlanta University, Atlanta, USA

    Vasily R. Shaginyan

  6. Institute of Physics, Opole University, Opole, Poland

    Vladimir A. Stephanovich

Authors
  1. Miron Ya. Amusia
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Konstantin G. Popov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Vasily R. Shaginyan
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Vladimir A. Stephanovich
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Miron Ya. Amusia .

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Amusia, M.Y., Popov, K.G., Shaginyan, V.R., Stephanovich, V.A. (2015). Quantum Criticality of Heavy-Fermion Compounds. In: Theory of Heavy-Fermion Compounds. Springer Series in Solid-State Sciences, vol 182. Springer, Cham. https://doi.org/10.1007/978-3-319-10825-4_18

Download citation

Publish with us

Policies and ethics

Search

Navigation