Skip to main content
SpringerLink
Log in
Book cover

New Trends in Superconductivity pp 137–153Cite as

Extended Brinkman-Rice Picture and its Application to High-T C Superconductors

  • Chapter

Part of the book series: NATO Science Series ((NAII,volume 67))

Abstract

Several theoretical studies have been performed to reveal the mechanism of the metal-insulator transition (MIT) in 3d transition-metal oxides including strongly correlated high-Tc superconductors]. Mott first introduced the concept of the Mott MIT of the first order (called ”Mott transition”), which is caused by a strong on-site Coulomb repulsion U [1], Hubbard[2] made a model which explained the splitting between the lower and upper Hubbard bands resulting in increased U, which is indicative of an insulator and second-order MIT. However, Hubbard’s model has not clarified the single-particle spectral function ρ(ω) characterizing physical properties, particularly on the metallic side of the Mott transition.

This is a preview of subscription content, 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 PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. N.F. Mott, Metal-Insulator Transitions Chapter 3, (Taylor& Francis, 2nd edition, 1990).

    Google Scholar 

  2. J. Hubbard, Proc. R. Soc. London A 276, 238 (1963);277, 237 (1964); 281, 401 (1964).

    Google Scholar 

  3. W.F. Brinkman and T.M. Rice, Phys. Rev. B 2, 4302 (1970).

    Article  ADS  Google Scholar 

  4. X.Y. Zhang, M.J. Rozenberg, and G. Kotliar, Phys. Rev. Lett. 70, 1666 (1993).

    Article  ADS  Google Scholar 

  5. M. Kawakami and S.K. Yang, Phys. Rev. Lett. 65, 2309 (1990).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. N. Furukawa and M. Imada, J. Phys. Soc. Jpn. 60, 3604 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  7. M.C. Gutzwiller, Phys. Rev. 137, A1726 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  8. Y. Tokura, Y. Taguchi, Y. Okada, Y. Fujishima, T. Arima, K. Kumagai, and Y. lye, Phys. Rev. Lett. 70, 2126 (1993).

    Article  ADS  Google Scholar 

  9. K. Kumagai, T. Suzuki, Y. Taguchi, Y. Okada, Y. Fujishima, and Y. Tokura, Phys. Rev. B 48, 7636 (1993).

    Article  ADS  Google Scholar 

  10. Y. Fujishima, Y. Tokura, T. Arima, and S. Uchida, Phys. Rev. B 46, 11167 (1992).

    Article  ADS  Google Scholar 

  11. Y. Furukawa, I. Okamura, K. Kumagai, T. Goto, T. Fukase, Y. Taguchi, and T. Tokura, Phys. Rev. B 59 10550 (1999).

    Article  ADS  Google Scholar 

  12. K. Morikawa, T. Mizokawa, K. Kobayashi, A. Fujimori, H. Eisaki, S. Uchida, F. Iga, and Y. Nishihara, Phys. Rev. B 52, 13711 (1995).

    Article  ADS  Google Scholar 

  13. I.H. Inoue, O. Goto, H. Makino, N.E. Hussey, and M. Ishikawa, Phys. Rev. B 58,4372 (1998).

    Google Scholar 

  14. H. Makino, I.H. Inoue, M.J. Rozenberg, I. Hase, Y. Aiura, and S. Onari, Phys. Rev. B 58, 4384 (1998).

    Article  ADS  Google Scholar 

  15. C.C. Tsuei, C.C. Chi, D.M. Newns, P.C. Pattnaik, and M. Daumling, Phys. Rev. Lett. 69, 2134 (1992).

    Article  ADS  Google Scholar 

  16. S.A. Carter, T.F. Rosenbaum, P. Metcalf, J.M. Honig, and J. Spal, Phys. Rev. B 48, 16841 (1993).

    Article  ADS  Google Scholar 

  17. D.B. McWhan, T.M. Rice, and J.P. Remeika, Phys. Rev. Lett. 23, 1384 (1969).:D.B. McWhan, A. Menth, J.P. Remeika, W.F. Brinkman, and T.M. Rice, Phys. Rev. B 7, 1920 (1973).

    Article  ADS  Google Scholar 

  18. N. Momono, M. Ido, T. Nakano, M. Oda, Y. Okajima, and K. Yamaya, Physica C 233, 395 (1994).

    Article  ADS  Google Scholar 

  19. D.M. king, Z.X. Shen, D.S. Dessau, D.S. Marshall, C.H. Park, W.E. Spicer, J.L. Peng, Z.Y. Li, and R.L. Greene, Phys. Rev. Lett. 73, 3298 (1994).

    Article  ADS  Google Scholar 

  20. T. Yokoya, A. Chainani, T. Takahashi, H. Ding, J.C. Campuzano, H.K. Yoshida, M. Kashi, and Y. Tokura, Phys. Rev. B 54, 13311 (1996).

    Article  ADS  Google Scholar 

  21. J.L. Talion and C. Bernhard, Phys. Rev. Lett. 75, 4552 (1995).

    Article  ADS  Google Scholar 

  22. J.L. Talion, G.V. Williams, C. Bernhard, D.M. Pooke, M.P. Staines, J.D. Johnson, and R.H. Meinhold, Phys. Rev. B 53, R11972 (1996).

    Article  ADS  Google Scholar 

  23. D.Y. Xing, M. Liu, and C.D. Gong, Phys. Rev. B, 44, 12525 (1991).

    Article  ADS  Google Scholar 

  24. K. Gofron, J.C. Campuzano, A.A. Abrikosov, M. Lindroos, A. Bansil, H. Ding, D. Koelling, and B. Dabrowski, Phys. Rev. Lett. 73, 3302 (1994).

    Article  ADS  Google Scholar 

  25. J. Ma, C. Quitmann, R.J. Kelley, P. Aimeras, H. Berger, G. Margaritondo, and M. Onellion, Phys. Rev. B 51, 3832 (1995).

    Article  ADS  Google Scholar 

  26. T. Timusk and B. Statt, Rep. Prog. Phys. 62, 61 (1999).

    Article  ADS  Google Scholar 

  27. H. Ding, T. Yokaya, J.C. Campuzano, T. Takahasi, M. Randeria, M.R. Norman, T. Mochiku, K. Kadowaki, and J. Giapinzakis, Nature 382, 51 (1996).

    Article  ADS  Google Scholar 

  28. S.H. Blanton, R.T. Collins, K.H. Kelleher, L.D. Rotter, Z. Schlesinger, D. G. Hinks, and Y. Zheng, Phys. Rev. B 47, 996 (1993).

    Article  ADS  Google Scholar 

  29. M.A. Karlow, S.L. Cooper, A.L. Kotz, M.V. Kelvin, P.D. Han, and D.A. Payne, Phys. Rev. B 48, 6499 (1993).

    Article  ADS  Google Scholar 

  30. Hyun-Tak Kim, H. Uwe, and H. Minami, Advances in Superconductivity VI (Springer-Verlag, Tokyo, 1994), P. 191.

    Book  Google Scholar 

  31. J.L. Talion and J.W. Loram, Physica C349, 53 (2001).

    ADS  Google Scholar 

  32. Hyun-Tak Kim, Physica C341-348, 259 (2000): cond-mat/0001008: cond-mat/0104055.

    Article  Google Scholar 

  33. T.M. Rice and L. Sneddon, Phys. Rev. Lett. 47, 689 (1981).

    Article  ADS  Google Scholar 

  34. Hyun-Tak Kim, Phys. Rev. B 54, 90 (1996).

    Article  ADS  Google Scholar 

  35. J.W. Loram, K.A. Mirza, J.R. Cooper, W.Y. Liang, and J.M. Wade, Journal of Superconductivity 7, 243 (1994).

    Article  ADS  Google Scholar 

  36. J.W. Loram, J.L. Luo, J.R. Cooper, W.Y. Liang, and J.L. Talion, Physica C341-348, 831 (2000).

    Article  Google Scholar 

  37. A. Junod, D. Eckert, T. Graf, G. Triscone, and J. Müller, Physica C 162-164, 482 (1989).

    Article  ADS  Google Scholar 

  38. A.M. Gabovich, A.I. Voitenko, J.F. Annett, and M. Ausloos, Supercond. Sei. Technol. 14, RI (2001).

    Google Scholar 

  39. Tohr Ogawa, Kunihiko Kanda, and Takeo Matsubara, Prog. Theor. Phys. 53, (1975) 614.

    Article  ADS  Google Scholar 

  40. Dieter Vollhardt, Rev. Mod. Phys. 56, (1984) 99.

    Article  ADS  Google Scholar 

  41. Patrick Fazekas, Lecture Notes on Electron Correlation and Magnetism, Chapter 9, (World Scientific Co., 1999).

    Google Scholar 

  42. T. Moriya, BUTSURI (edited by Physical Society of Japan), Vol 54, No. 1, (1999) 48 (Japanese).

    Google Scholar 

  43. H. Fukuyama, M. Imada, and T. Moriya, BUTSURI (edited by Physical Society of Japan), Vol 54, No. 2, (1999) 123 (Japanese).

    Google Scholar 

  44. M.N. Khan, Hyun-Tak Kim, H. Minami, and H. Uwe, Materials Letters 47, 95 (2001).

    Google Scholar 

  45. J.S. Ahn, J. Bak, H.S. Choi, T.W. Noh, J.E. Han, Yunkyu Bang, J.H. Cho, and Q.X. Jia, Phys. Rev. Lett. 82, 5321 (1999).

    Article  ADS  Google Scholar 

  46. A. Georges, G. Kotliar, W. Krauth, and M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).

    Article  MathSciNet  ADS  Google Scholar 

  47. Y. Hongshun, Z. Xiaonong, Z. Changfei, W. Keqin, C. Liezhao, C. Zhaojia, Physica C 172, 71 (1990).

    Article  ADS  Google Scholar 

  48. Manfred Daüm bling, physica C 183,293 (1991).

    Article  ADS  Google Scholar 

  49. H. Wühl, R. Benischke, M. Braun, B. Frank, O. Kraut, R. Ahrens, G. Bräuchle, H. Claus, A. Erb, W.H. Fietz, C. Meingast, G. Müller-Vogt, and T. Wolf, Physica C 185-189, 755 (1991).

    Google Scholar 

  50. J.L. Smith, C.M. Fowler, B.L. Freeman, W.L. Hults, J.C. King, and F.M. Mueller, Advances in superconductivity III,(Springer-Verlag, Tokyo,1991), p. 231.

    Book  Google Scholar 

  51. N. Toyota, T. Sasaki, K. Murata, Y. Honda, M. Tokumoto, H. Nando, N. Kinoshita, H. Anzai, T. Ishiguro, and Y. Muto, J. Phys. Soc. Japan 57, 2616 (1988).

    Article  ADS  Google Scholar 

  52. K. Oshima, H. Urayama, H. Yamochi, and G. Saito, Physica C 153-155, 1148 (1988).

    Article  ADS  Google Scholar 

  53. D.S. Dessau, Z.-X. Shen, D.M. King, D.S. Marshall, L.W. Lombardo, P.H. Dickinson, A.G. Loeser, J. DiCarlo, C.H. Park, A. Kapitulnik, and W.E. Spicer, Phys. Rev. Lett., 71, 2781 (1993).

    Article  ADS  Google Scholar 

  54. Y.D. Chuang, A.D. Gromko, D.S. Dessau, Y. Aiura, Y. Yamaguchi, K. Oka, A.J. Arko, J. Joyce, H. Eisaki, S.J. Uchida, K. Nakamura, and Yoichi Ando, Phys. Rev. Lett. 83, 3717 (1999).

    Article  ADS  Google Scholar 

  55. A.D. Gromko, Y.D. Chuang, D.S. Dessau, K. Nakamura, and Yoichi Ando, cond-mat/0003017.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Telecom. Basic Research Lab., ETRI, Taejon, 305-350, Korea

    Hyun-Tak Kim

Authors
  1. Hyun-Tak Kim
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. H.H.Wills Physics Laboratory, University of Bristol, Bristol, UK

    James F. Annett

  2. Bogolyubov Institute for Theoretical Physics, Kiev, Ukraine

    Sergei Kruchinin

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Kim, HT. (2002). Extended Brinkman-Rice Picture and its Application to High-T C Superconductors. In: Annett, J.F., Kruchinin, S. (eds) New Trends in Superconductivity. NATO Science Series, vol 67. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0544-9_13

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0544-9_13

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-0705-7

  • Online ISBN: 978-94-010-0544-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation