Skip to main content
Log in

Green’s function of a 2D Fermi system undergoing a topological phase transition

  • Condensed Matter
  • Published:
Journal of Experimental and Theoretical Physics Letters Aims and scope Submit manuscript

Abstract

An explicit expression is obtained for the single-particle Green’s function of a 2D metallic system with attraction between carriers. It is shown that as a result of transverse phase fluctuations, this function is pole-free throughout the entire region of finite temperatures (both above and below the topological phase transition point) corresponding to a nonzero modulus of the complex order field describing the transition from a nonsuperconducting (in this case normal) state to a superconducting state, whose appearance in the 2D case is not accompanied by spontaneous breaking of charge symmetry.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. M. Loktev, Fiz. Nizk. Temp. 22, 3 (1996) [Low Temp. Phys. 22, 1 (1996)].

    Google Scholar 

  2. K. Saito and M. Kaise, Phys. Rev. B 57, 11786 (1998).

  3. Y. Itoh et al., Phys. Soc. Jpn. 65, 3751 (1996).

    MathSciNet  Google Scholar 

  4. J. W. Loram et al., Physica C 235–240, 134 (1994).

    Google Scholar 

  5. A. V. Bondar’ et al., in Physical Problems of High-Temperature Superconductors [in Russian], edited by V. M. Loktev, Naukova Dumka, Kiev, 1990, p. 5.

    Google Scholar 

  6. P. B. Wiegmann, http://xxx.lanl.gov/abs/cond-mat/9808004.

  7. V. P. Gusynin, V. M. Loktev, and S. G. Sharapov, JETP Lett. 65, 182 (1997); JETP, at press.

    Article  ADS  Google Scholar 

  8. V. P. Gusynin, V. M. Loktev, and S. G. Sharapov, Fiz. Nizk. Temp. 23, 816 (1997) [Low Temp. Phys. 23, 612 (1997)]; Ibid. 23, 1247 (1997) [Low Temp. Phys. 23, 1936 (1997)].

    Google Scholar 

  9. V. M. Loktev and V. M. Turkovskii, Zh. Éksp. Teor. Fiz. 114, 605 (1998) [JETP 87, 329 (1998)].

    Google Scholar 

  10. A. Z. Patashinskii and V. L. Pokrovskii, Fluctuation Theory of Phase Transitions, Pergamon Press, Oxford, 1979, 1st edition [Russian original, 2nd ed., Nauka, Moscow, 1983].

    Google Scholar 

  11. Yu. A. Izyumov and Yu. N. Skryabin, Statistical Mechanics of Magnetically Ordered Systems, Nauka, Moscow, 1982.

    Google Scholar 

  12. O. Tchernyshyov, Phys. Rev. B 56, 3372 (1997).

    Article  ADS  Google Scholar 

  13. B. Janko, J. Mali, and K. Levin, http://xxx.lanl.gov/abs/cond-mat/9805018; I. Kostin et al., Phys. Rev. B 58, R5936 (1998).

  14. M. Franz and A. J. Millis, http://xxx.lanl.gov/abs/cond-mat/9705401; to appear in Phys. Rev. B.

  15. M. Yu. Kagan et al., Phys. Rev. B 57, 5995 (1998).

    Article  ADS  Google Scholar 

  16. M. Plischke and B. Bergersen, Equilibrium Statistical Physics, Prentice-Hall, New Jersey, 1989, p. 167.

    Google Scholar 

  17. P. Minnhagen, Rev. Mod. Phys. 59, 1001 (1987).

    Article  ADS  Google Scholar 

  18. N. D. Mermin and H. Wagner, Phys. Rev. Lett. 17, 1113 (1966); P. C. Hohenberg, Phys. Rev. 158, 383 (1967); S. Coleman, Commun. Math. Phys. 31, 259 (1973).

    ADS  Google Scholar 

  19. A. Erdélyi, Higher Transcendental Functions (Bateman Manuscript Project), Vols. 1–3, edited by A. Erdélyi, McGraw-Hill, New York, 1953, 1953, 1955; Vols. 1–3, Nauka, Moscow, 1965, 1966, 1967.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Pis’ma Zh. Éksp. Teor. Fiz. 69, No. 2, 126–131 (25 January 1999)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gusynin, V.P., Loktev, V.M. & Sharapov, S.G. Green’s function of a 2D Fermi system undergoing a topological phase transition. Jetp Lett. 69, 141–147 (1999). https://doi.org/10.1134/1.567996

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.567996

PACS numbers

Navigation