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Quantum Monte Carlo Studies of the Holstein Model

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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 33))

Abstract

In this paper we study the competition between superconducting and charge density wave (CDW) formation in a system of interacting electrons and phonons by solution of the Eliashberg equations and by quantum Monte Carlo. We show that within the Eliashberg formalism, self energy corrections suppress the pair field susceptibility at high temperatures and that only below a certain cross-over temperature does one see enhancement. By conducting simulations at these low temperatures, we report the first observation of enhanced superconducting susceptibilities in numerical simulations of a model with dynamic electron-electron interactions.

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References

  1. T. Holstein, Ann. Phys. 8, 325 (1959).

    Article  ADS  MATH  Google Scholar 

  2. In Proceedings of the Conference on the Frontiers of Quantum Monte Carlo, ed. by J.E. Gubernatis, in J. Stat. Phys. 43, 729 (1986).

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  3. R.T. Scalettar, D.J. Scalapino, R.L. Sugar, and D. Toussaint, Phys. Rev. B 36, 8632 (1987).

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  4. J.E. Hirsch and R.M. Fye, Phys. Rev. Lett. 56, 2521 (1986).

    Article  ADS  Google Scholar 

  5. J.E. Hirsch, Phys. Rev. Lett. 51, 1960 (1983), Phys. Rev. B 31, 4403 (1985).

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  6. G.M. Eliashberg, JETP 11, 696 (1960).

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  7. R. Blankenbecler, D.J. Scalapino, and R.L. Sugar, Phys. Rev. D 24, 2278 (1981)

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  8. D.J. Scalapino and R.L. Sugar, Phys. Rev. B 24, 4295 (1981)

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  9. J.E. Gubernatis, D.J. Scalapino, R.L. Sugar, and D. Toussaint, Phys. Rev. B 32, 103 (1985).

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  10. M. Creutz and B. Freedman, Ann. Phys. 132, 427 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  11. S.R. White and R.L. Sugar (in preparation).

    Google Scholar 

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© 1988 Springer-Verlag Berlin Heidelberg

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Scalettar, R.T., Bickers, N.E., Scalapino, D.J. (1988). Quantum Monte Carlo Studies of the Holstein Model. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed Matter Physics. Springer Proceedings in Physics, vol 33. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93400-1_17

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  • DOI: https://doi.org/10.1007/978-3-642-93400-1_17

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-93402-5

  • Online ISBN: 978-3-642-93400-1

  • eBook Packages: Springer Book Archive

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