Systematic analysis of a spin-susceptibility representation of the pairing interaction in the two-dimensional Hubbard model

T. A. Maier, A. Macridin, M. Jarrell, and D. J. Scalapino
Phys. Rev. B 76, 144516 – Published 31 October 2007

Abstract

A dynamic cluster quantum Monte Carlo algorithm is used to study a spin-susceptibility representation of the pairing interaction for the two-dimensional Hubbard model with an on-site Coulomb interaction equal to the bandwidth for various doping levels. We find that the pairing interaction is well approximated by 32U¯(T)2χ(KK), with an effective temperature and doping dependent coupling U¯(T) and the numerically calculated spin susceptibility χ(KK). We show that at low temperatures, U¯ may be accurately determined from a corresponding spin-susceptibility based calculation of the single-particle self-energy. We conclude that the strength of the d-wave pairing interaction, characterized by the mean-field transition temperature, can be determined from a knowledge of the dressed spin susceptibility and the nodal quasiparticle spectral weight. This has important implications with respect to the questions of whether spin fluctuations are responsible for pairing in the high-Tc cuprates.

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  • Received 1 June 2007

DOI:https://doi.org/10.1103/PhysRevB.76.144516

©2007 American Physical Society

Authors & Affiliations

T. A. Maier1,2,*, A. Macridin3,†, M. Jarrell3,‡, and D. J. Scalapino4,2,§

  • 1Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6164, USA
  • 2Center for Nanophase Materials Sciences, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6164, USA
  • 3Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221, USA
  • 4Department of Physics, University of California, Santa Barbara, California 93106-9530, USA

  • *maierta@ornl.gov
  • macridin@physics.uc.edu
  • jarrell@physics.uc.edu
  • §djs@physics.ucsb.edu

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Issue

Vol. 76, Iss. 14 — 1 October 2007

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