Skip to main content
SpringerLink
Log in

Specific heat, entropy and magnetic properties of high Tc superconductivity within the planar t−t′−J−V model

  • Regular Article
  • Published:
The European Physical Journal B Aims and scope Submit manuscript

Abstract

The finite temperature properties of the high Tc cuprates are investigated by an exact method at optimal doping using t−t′−J−V model. The role of next-nearest-neighbor (NNN) hopping interaction t′ and nearest-neighbor Coulomb repulsion V on the total energy, specific heat, entropy, magnetic properties, etc. in the superconducting, as well as normal phase, are considered. Specific heat curves show a single peak structure in the parameter range suitable for existence of superconducting phase. Two peak structure in the specific heat curve is observed at sufficiently large values of V∕t. An asymmetry in specific heat curves and peak positions is observed for the hole- and electron-doped cuprates. Existence of a metallic phase is detected for positive t′∕t for V∕t ≤ 4J. Entropy calculation shows the system goes to a more disordered state with negative t′∕t and V∕t. A non-Fermi liquid behavior is revealed at low temperatures for positive t′ and small values of V . An asymmetry in Neel temperature is observed for the hole- and electron-doped cuprates. An unsaturated ferromagnetic phase emerges with an increase of V∕t. Schematic magnetic phase diagrams are shown.

Graphical abstract

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. J.G. Bednorz, K.A. Müller, Z. Phys. B 64, 189 (1986)

    ADS  Google Scholar 

  2. J. Hubbard, Proc. Roy. Soc. London A 276, 238 (1963)

    ADS  Google Scholar 

  3. F.C. Zhang, T.M. Rice, Phys. Rev. B 37, 3709 (1989)

    Google Scholar 

  4. M. Uchinami, Phys. Rev. B 42, 10178 (1990)

    ADS  Google Scholar 

  5. D. Poilblanc, Phys. Rev. B 49, 1477 (1994)

    ADS  Google Scholar 

  6. S.R. White, D.J. Scalapino, Phys. Rev. B 55, 6504 (1997)

    ADS  Google Scholar 

  7. S.R. White, D.J. Scalapino, Phys. Rev. Lett. 81, 3227 (1998)

    ADS  Google Scholar 

  8. C.S. Hellberg, E. Manousakis, Phys. Rev. Lett. 78, 4609 (1997)

    ADS  Google Scholar 

  9. M. Ogata, H. Fukuyama, Rep. Prog. Phys. 71, 036501 (2008)

    ADS  Google Scholar 

  10. H. Røder et al., Phys. Rev. B 45, 13092 (1992)

    ADS  Google Scholar 

  11. J. Jaclić, P. Prelovśek, Phys. Rev. Lett. 77, 892 (1996)

    ADS  Google Scholar 

  12. A.A. Vladimirov, D. Ihle, N.M. Plakida, Eur. Phys. J. B 91, 195 (2018)

    ADS  Google Scholar 

  13. J. Bonća, P. Prelovśek, Phys. Rev. B 67, 085103 (2003)

    ADS  Google Scholar 

  14. R. Raimondi, J.H. Jefferson, L.F. Feiner, Phys. Rev. B 53, 8774 (1996)

    ADS  Google Scholar 

  15. E. Pavarini et al., Phys. Rev. Lett. 87, 047003 (2001)

    ADS  Google Scholar 

  16. S. Nath, N.K. Ghosh, J. Supercond. Nov. Magn. 27, 1347 (2014)

    Google Scholar 

  17. S. Nath, N.K. Ghosh, J. Supercond. Nov. Magn. 27, 2871 (2014)

    Google Scholar 

  18. Y. Mou, S. Feng, Int. J. Mod. Phys. B 32, 1840027 (2018)

    ADS  Google Scholar 

  19. M. Kohno, Physica B 536, 447 (2018)

    ADS  Google Scholar 

  20. J.D. Sau, S. Sachdev, Phys. Rev. B 89, 075129 (2014)

    ADS  Google Scholar 

  21. A. Allais, J. Bauer, S. Sachdev, Phys. Rev. B 90, 155114 (2014)

    ADS  Google Scholar 

  22. D. Sénéchal, A.G.R. Day, V. Bouliane, A.-M.S. Tremblay, Phys. Rev. B 87, 075123 (2013)

    ADS  Google Scholar 

  23. Z.M. Raines, V. Stanev, V.M. Galitski, Phys. Rev. B 91, 184506 (2015)

    ADS  Google Scholar 

  24. A. Reymbaut et al., Phys. Rev. B 94, 155146 (2016)

    ADS  Google Scholar 

  25. P. Pal, K. Roy, S. Nath, N.K. Ghosh, Chin. J. Phys. 56, 958 (2018)

    Google Scholar 

  26. K. Roy, P. Pal, S. Nath, N.K. Ghosh, Eur. Phys. J. B 91, 64 (2018)

    ADS  Google Scholar 

  27. N.S. Mandal, N.K. Ghosh, Pramana-J. Phys. 74, 1009 (2010)

    ADS  Google Scholar 

  28. C. Gros, Phys. Rev. B 53, 6865 (1996)

    ADS  Google Scholar 

  29. J. Jaclić, P. Prelovśek, Adv. Phys. 49, 1 (2000)

    ADS  Google Scholar 

  30. E. Manousakis, Rev. Mod. Phys. 63, 1 (1991)

    ADS  Google Scholar 

  31. O.K. Anderson et al., J. Phys. Chem. Solids 56, 1573 (1993)

    ADS  Google Scholar 

  32. D. Duffy, A. Moreo, Phys. Rev. B 52, 15607 (1995)

    ADS  Google Scholar 

  33. N.P. Armitage, P. Fournier, R.L. Greene, Rev. Mod. Phys. 82, 2421 (2010)

    ADS  Google Scholar 

  34. S. Nath, N.K. Ghosh, Ind. J. Phys. 86, 351 (2012)

    Google Scholar 

  35. S. Raghu et al., Phys. Rev. B 85, 024516 (2012)

    ADS  Google Scholar 

  36. N. Chandra, M. Kollar, D. Vollhardt, Phys. Rev. B 59, 10541 (1999)

    ADS  Google Scholar 

  37. D. Duffy, A. Moreo, Phys. Rev. B 55, 12918 (1997)

    ADS  Google Scholar 

  38. E.H. da Silva Neto, et al., Science 347, 282 (2015)

    ADS  Google Scholar 

  39. E.H. da Silva Neto, et al., Sci. Adv. 2, e1600782 (2016)

    ADS  Google Scholar 

  40. T.D. Stanescu, P. Phillips, Phys. Rev. B 64, 235117 (2001)

    ADS  Google Scholar 

  41. D. Coffey, K. Bedell, Phys. Rev. Lett. 71, 1043 (1993)

    ADS  Google Scholar 

  42. A.M.C. Souza, C.A. Macedo, M.L. Moreira, Physica B 354, 293 (2004)

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, University of Kalyani, Kalyani-741235, India

    Krishanu Roy, Srijani Ghosh & Nanda Kumar Ghosh

  2. Department of Physics, Krishnagar Government College, Krishnagar-741101, India

    Subhadip Nath

Authors
  1. Krishanu Roy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Srijani Ghosh
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Subhadip Nath
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Nanda Kumar Ghosh
    View author publications

    You can also search for this author in PubMed Google Scholar

Contributions

The work has been proposed and authored by SN while KR and SG performed the calculations and simulations. NKG was the supervisor of the project.

Corresponding author

Correspondence to Subhadip Nath.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Roy, K., Ghosh, S., Nath, S. et al. Specific heat, entropy and magnetic properties of high Tc superconductivity within the planar t−t′−J−V model. Eur. Phys. J. B 92, 270 (2019). https://doi.org/10.1140/epjb/e2019-100303-5

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjb/e2019-100303-5

Keywords

Search

Navigation