Quantum Monte Carlo Studies of the Holstein Model

  • R. T. Scalettar
  • N. E. Bickers
  • D. J. Scalapino
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 33)


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.


Charge Density Wave Monte Carlo Technique Superconducting Phase Transition Holstein Model Eliashberg Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • R. T. Scalettar
    • 1
  • N. E. Bickers
    • 2
  • D. J. Scalapino
    • 3
  1. 1.Department of PhysicsUniversity of IllinoisUrbanaUSA
  2. 2.Institute for Theoretical PhysicsUniversity of CaliforniaSanta BarbaraUSA
  3. 3.Department of PhysicsUniversity of CaliforniaSanta BarbaraUSA

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