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Lifshits quantum phase transitions and rearrangement of the Fermi surface upon a change in the hole concentration in high-temperature superconductors

  • Order, Disorder, and Phase Transition in Condensed System
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Abstract

Changes in the electronic structure in the normal phase of high-T c superconductors (HTSCs), viz., layered cuprates, are considered. The results of LDA + GTB calculations of the electron structure and the Fermi surface of La2 − x Sr x CuO4 one-layer cuprates with allowance for strong correlations are compared with ARPES and quantum oscillations data. Two critical points x c1 and x c2 are discovered at which the rear-rangement of the Fermi surface takes place. In the vicinity of these points, changes in the thermodynamic properties at low temperatures are determined using the Lifshits ideology concerning 2.5-order quantum phase transitions. A singularity δ(C/T) ∝ (xx e )1/2 in the electron heat capacity agrees well with the available experimental data in the vicinity of x c1 ≈ 0.15. Sign reversal of the Hall constant upon doping is also considered qualitatively.

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References

  1. E. Dagotto, Rev. Mod. Phys. 66, 763 (1994).

    Article  ADS  Google Scholar 

  2. E. G. Maksimov, Usp. Fiz. Nauk 170(10), 1033 (2000) [Phys.—Usp. 43 (10), 965 (2000)].

    Article  Google Scholar 

  3. M. Imada, A. Fujimori, and Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998).

    Article  ADS  Google Scholar 

  4. S. G. Ovchinnikov, Usp. Fiz. Nauk 167(10), 1043 (1997) [Phys.—Usp. 40 (10), 993 (1997)].

    Article  MathSciNet  Google Scholar 

  5. M. V. Sadovskiĭ, Usp. Fiz. Nauk 171(5), 540 (2001) [Phys.—Usp. 44 (5), 515 (2001)].

    Google Scholar 

  6. V. F. Elesin, V. V. Kapaev, and Yu. V. Kopaev, Usp. Fiz. Nauk 174(9), 1017 (2004) [Phys.—Usp. 47 (9), 949 (2004)].

    Article  Google Scholar 

  7. Yu. A. Izyumov and E. Z. Kurmaev, Usp. Fiz. Nauk 178(1), 25 (2008) [Phys.—Usp. 51 (1), 23 (2008)].

    Article  Google Scholar 

  8. P. A. Lee, Rep. Prog. Phys. 71, 012 501 (2008).

    Article  Google Scholar 

  9. A. Damascelli, Z. Hussein, and Z. X. Shen, Rev. Mod. Phys. 75, 473 (2003).

    Article  ADS  Google Scholar 

  10. N. Doiron-Leyraud, C. Proust, D. LeBoeuf, J. Levallois, J.-B. Bonnemaison, R. Liang, D. A. Bonn, W. N. Hardy, and L. Taillefer, Nature (London) 447, 565 (2007).

    Article  ADS  Google Scholar 

  11. E. A. Yelland, J. Singleton, C. H. Mielke, N. Narrison, F. F. Balakirev, B. Dabrowski, and J. R. Cooper, Phys. Rev. Lett. 100, 047 003 (2008).

    Article  Google Scholar 

  12. A. F. Bangura, J. D. Fletcher, A. Carrington, et al., Phys. Rev. Lett. 100, 047004 (2008).

    Article  ADS  Google Scholar 

  13. E. Z. Kuchinskii, I. A. Nekrasov, and M. V. Sadovskii, Pis’ma Zh. ’Eksp. Teor. Fiz. 82(4), 217 (2005) [JETP Lett. 82 (4), 198 (2005)].

    Google Scholar 

  14. E. Z. Kuchinskii and M. V. Sadovskii, Zh. Éksp. Teor. Fiz. 130(3), 447 (2006) [JETP 103 (3), 415 (2006)].

    Google Scholar 

  15. N. Harrison, R. D. McDonald, and J. Singleton, Phys. Rev. Lett. 99, 206 406 (2007).

    Google Scholar 

  16. E. Z. Kuchinskii and M. V. Sadovskii, Pis’ma Zh. Éksp. Teor. Fiz. 88(3), 224 (2008) [JETP Lett. 88 (3), 192 (2008)].

    Google Scholar 

  17. J. Meng, G. Liu, W. Zhang, L. Zhao, H. Liu, X. Jia, D. Mu, S. Liu, X. Dong, W. Lu, G. Wang, Y. Zhou, Y. Zhu, X. Wang, Z. Xu, C. Chen, and X. J. Zhou, arXiv:0906.2682.

  18. M. Yu. Kagan and K. I. Kugel’, Usp. Fiz. Nauk 171(6), 577 (2001) [Phys.—Usp. 44 (6), 553 (2001)].

    Article  Google Scholar 

  19. S. G. Ovchinnikov and I. S. Sandalov, Physica C (Amsterdam) 161, 607 (1989).

    ADS  Google Scholar 

  20. S. V. Lovtsov and V. Yu. Yushankhai, Physica C (Amsterdam) 179, 159 (1991).

    ADS  Google Scholar 

  21. J. H. Jefferson, H. Eskes, and L. F. Feiner, Phys. Rev. B: Condens. Matter 45, 7959 (1992).

    ADS  Google Scholar 

  22. V. I. Belinicher, A. L. Chernyshev, and V. A. Shubin, Phys. Rev. B: Condens. Matter 53, 335 (1996).

    ADS  Google Scholar 

  23. N. M. Plakida and V. S. Oudovenko, Phys. Rev. B: Condens. Matter 59, 11 949 (1999).

    Google Scholar 

  24. M. M. Korshunov, V. A. Gavrichkov, S. G. Ovchinnikov, I. A. Nekrasov, Z. V. Pchelkina, and V. I. Anisimov, Phys. Rev. B: Condens. Matter 72, 165 104 (2005).

    Google Scholar 

  25. W. Stephan and P. Horsch, Phys. Rev. Lett. 66, 2258 (1991).

    Article  ADS  Google Scholar 

  26. R. Preuss, W. Hanke, and W. von der Linden, Phys. Rev. Lett. 75, 1344 (1995).

    Article  ADS  Google Scholar 

  27. V. F. Elesin and V. A. Kashurnikov, Zh. Éksp. Teor. Fiz. 106(6), 1773 (1994) [JETP 79 (6), 961 (1994)].

    Google Scholar 

  28. B. I. Shraiman and E. D. Siggia, Phys. Rev. Lett. 61, 467 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  29. S. A. Trugman, Phys. Rev. Lett. 65, 500 (1990).

    Article  ADS  Google Scholar 

  30. A. F. Barabanov, R. O. Kuzian, L. A. Maksimov, and G. V. Uimin, Sverkhprovodimost: Fiz., Khim., Tekh. 3, 8 (1990).

    Google Scholar 

  31. A. F. Barabanov, R. O. Kuzian, and L. A. Maksimov, J. Phys.: Condens. Matter. 39, 129 (1991).

    Google Scholar 

  32. A. P. Kampf, Phys. Rev. 249, 219 (1994).

    Google Scholar 

  33. G. Dorf, A. Muramatsu, and W. Hanke, Phys. Rev. B: Condens. Matter 41, 9264 (1990).

    ADS  Google Scholar 

  34. S. Sahrakorpi, R. S. Markiewicz, H. Lin, M. Lindroos, X. J. Zhou, T. Yoshida, W. L. Yang, T. Kakeshita, H. Eisaki, S. Uchida, S. Komiya, Y. Ando, F. Zhou, Z. X. Zhao, T. Sasagawa, A. Fujimori, Z. Hussain, Z.-X. Shen, and A. Bansil, Phys. Rev. B: Condens. Matter 78, 104 513 (2008).

    Google Scholar 

  35. T. R. Thurston, R. J. Birgeneau, M. A. Kastner, N. W. Preyer, G. Shirane, Y. Fujii, K. Yamada, Y. Endoh, K. Kakurai, M. Matsuda, Y. Hidaka, and T. Murakami, Phys. Rev. B: Condens. Matter 40, 4585 (1989).

    ADS  Google Scholar 

  36. S. M. Hayden, G. Aeppli, H. Mook, D. Rytz, M. F. Hundley, and Z. Fisk, Phys. Rev. Lett. 66, 821 (1991).

    Article  ADS  Google Scholar 

  37. D. Mihailovic and V. V. Kabanov, Struct. Bonding 114, 331 (2005).

    Google Scholar 

  38. I. M. Lifshitz, Zh. Éksp. Teor. Fiz. 38, 1569 (1960) [Sov. Phys. JETP 11, 1130 (1960)].

    Google Scholar 

  39. I. M. Lifshitz, M. Ya. Azbel, and M. I. Kaganov, Electron Theory of Metals (Nauka, Moscow, 1971; Consultants Bureau, New York, 1973).

    Google Scholar 

  40. J. W. Loram, J. Luo, J. R. Cooper, W. Y. Liang, and J. L. Tallon, Phys. Chem. Solids 62, 59 (2001).

    Article  ADS  Google Scholar 

  41. Ya. B. Gaididei and V. M. Loktev, Phys. Status Solidi B 147, 307 (1988).

    Article  Google Scholar 

  42. V. A. Gavrichkov, S. G. Ovchinnikov, A. A. Borisov, and E. G. Goryachev, Zh. Éksp. Teor. Fiz. 118(2), 422 (2000) [JETP 91 (2), 369 (2000)].

    Google Scholar 

  43. J. Zaanen, G. A. Sawatzky, and J. W. Allen, Phys. Rev. Lett. 55, 418 (1985).

    Article  ADS  Google Scholar 

  44. V. V. Val’kov and S. G. Ovchinnikov, Quasiparticles in Strongly Correlated Systems (Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 2001) [in Russian].

    Google Scholar 

  45. R. O. Zaĭtsev, Zh. Éksp. Teor. Fiz. 68(1), 207 (1975) [Sov. Phys. JETP 41 (1), 100 (1975)].

    Google Scholar 

  46. M. M. Korshunov and S. G. Ovchinnikov, Eur. Phys. J. B 57, 271 (2007).

    Article  ADS  Google Scholar 

  47. N. M. Plakida and V. S. Oudovenko, Zh. Éksp. Teor. Fiz. 131(2), 259 (2007) [JETP 104 (2), 230 (2007)].

    Google Scholar 

  48. V. V. Val’kov and D. M. Dzebisashvili, Zh. Éksp. Teor. Fiz. 127(3), 686 (2005) [JETP 100 (3), 608 (2005)].

    Google Scholar 

  49. H. Shimahara and S. Takada, J. Phys. Soc. Jpn. 60, 2394 (1991); J. Phys. Soc. Jpn. 61, 989 (1992).

    Article  ADS  Google Scholar 

  50. A. F. Barabanov and V. M. Berezovskiĭ, Zh. Éksp. Teor. Fiz. 106(4), 1156 (1994) [JETP 79 (4), 627 (1994)].

    Google Scholar 

  51. A. Sherman and M. Schreiber, Phys. Rev. B: Condens. Matter 65, 134 520 (2002).

    Google Scholar 

  52. A. A. Vladimirov, D. Ile, and N. M. Plakida, Teor. Mat. Fiz. 145(2), 240 (2005) [Theor. Math. Phys. 145 (2), 1576 (2005)].

    MathSciNet  Google Scholar 

  53. A. F. Barabanov, A. A. Kovalev, O. V. Urazaev, A. M. Belemuk, and R. Hayn, Zh. Éksp. Teor. Fiz. 119(4), 777 (2001) [JETP 92 (4), 677 (2001)].

    Google Scholar 

  54. S. Sachdev, A. V. Chubukov, and A. Sokol, Phys. Rev. B 51, 14874 (1995).

    Article  ADS  Google Scholar 

  55. A. V. Chubukov and D. K. Morr, Phys. Rep. 288, 355 (1997).

    Article  ADS  Google Scholar 

  56. L. Hozoi, M. S. Laad, and P. Fulde, Phys. Rev. B: Condens. Matter 78, 165 107 (2008).

    Google Scholar 

  57. M. Hashimoto, T. Yoshida, H. Yagi, M. Takizawa, A. Fujimori, M. Kubota, K. Ono, K. Tanaka, D. H. Lu, Z.-X. Shen, S. Ono, and Y. Ando, Phys. Rev. B: Condens. Matter 77, 094 516 (2008).

    Google Scholar 

  58. M. Platé, J. D. F. Mottershead, I. S. Elfimov, D. C. Peets, Ruixing Liang, D. A. Bonn, W. N. Hardy, S. Chiuzbaian, M. Falub, M. Shi, L. Patthey, and A. Damascelli, Phys. Rev. Lett. 95, 077001 (2005).

    Article  ADS  Google Scholar 

  59. A. Ino, C. Kim, M. Nakamura, T. Yoshida, T. Mizokawa, A. Fujimori, Z.-X. Shen, T. Kakeshita, H. Eisaki, and S. Uchida, Phys. Rev. B: Condens. Matter 65, 094504 (2002).

    ADS  Google Scholar 

  60. M. M. Korshunov and S. G. Ovchinnikov, Fiz. Tverd. Tela (St. Petersburg) 45(8), 1351 (2003) [Phys. Solid State 45 (8), 1415 (2003)].

    Google Scholar 

  61. U. Tutsch, P. Schweiss, H. Wühe, B. Obst, and Th. Wolf, Eur. Phys. J. B 41, 471 (2004).

    Article  ADS  Google Scholar 

  62. F. Onufrieva and P. Pfeuty, Phys. Rev. B: Condens. Matter 61, 799 (2000).

    ADS  Google Scholar 

  63. I. Tsukada and S. Ono, Phys. Rev. B: Condens. Matter 74, 134 508 (2006).

    Google Scholar 

  64. D. Le Boeuf, N. Doiron-Leyraud, J. Levallois, R. Daon, J.-B. Bonnemaison, N. E. Hussey, L. Balicas, B. J. Ramshaw, R. Liang, D. A. Bonn, W. N. Hardy, S. Adachi, C. Proust, and L. Taillefer, Nature 450, 533 (2003).

    Article  Google Scholar 

  65. T. Adachi, T. Noji, and Y. Koike, Phys. Rev. B: Condens. Matter 64, 144 524 (2001).

    Google Scholar 

  66. N. P. Ong, Phys. Rev. B: Condens. Matter 43, 193 (1991).

    ADS  Google Scholar 

  67. R. Daon, N. Doiron-Leyraud, D. LeBoeuf, S. Y. Li, F. Laliberté, O. Cyr-Choiniére, Y. J. Jo, L. Balicas, J.-Q. Yan, J.-S. Zhou, J. B. Goodenough, and L. Taillefer, Nat. Phys. 5, 31 (2009).

    Article  Google Scholar 

  68. A. Kaminski, S. Rosenkranz, N. M. Fretweel, M. R. Norman, M. Randeria, J. C. Campuzano, J.-M. Park, Z. Z. Li, and H. Raffy, Phys. Rev. B: Condens. Matter 73, 174 511 (2006).

    Google Scholar 

  69. A. A. Kordyuk, S. V. Borisenko, M. Khupfer, and J. Fink, Phys. Rev. B: Condens. Matter 67, 064504 (2003).

    ADS  Google Scholar 

  70. J. G. Storey, J. L. Tallon, and G. V. M. Williams, Phys. Rev. B: Condens. Matter 78, 140506(R) (2008).

    ADS  Google Scholar 

  71. S. Hufner, M. A. Hossain, A. Damascelly, and G. A. Sawatzky, Rep. Prog. Phys. 71, 062501 (2008).

    Article  ADS  Google Scholar 

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Correspondence to S. G. Ovchinnikov.

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Original Russian Text © S.G. Ovchinnikov, M.M. Korshunov, E.I. Shneyder, 2009, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2009, Vol. 136, No. 5, pp. 898–909.

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Ovchinnikov, S.G., Korshunov, M.M. & Shneyder, E.I. Lifshits quantum phase transitions and rearrangement of the Fermi surface upon a change in the hole concentration in high-temperature superconductors. J. Exp. Theor. Phys. 109, 775–785 (2009). https://doi.org/10.1134/S1063776109110077

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