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Phys. Rev. B 75, 134519 (2007) [5 pages]

Spin susceptibility representation of the pairing interaction for the two-dimensional Hubbard model

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T. A. Maier1,*, M. Jarrell2,†, and D. J. Scalapino3,‡
1Center for Nanophase Materials Sciences and Computer Science and Mathematics Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831-6164, USA
2Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221, USA
3Department of Physics, University of California, Santa Barbara, California 93106-9530, USA

Received 22 December 2006; published 27 April 2007

Using numerical dynamic cluster quantum Monte Carlo results, we study a simple approximation for the pairing interaction of a two-dimensional Hubbard model with an on-site Coulomb interaction U equal to the bandwidth. We find that with an effective temperature-dependent coupling U̅ (T) and the numerically calculated spin susceptibility χ(KK), the d-wave pairing interaction is well approximated by 3/2U̅ 2χ(KK).

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.75.134519
DOI:
10.1103/PhysRevB.75.134519
PACS:
74.20.−z, 71.10.−w, 71.27.+a, 74.72.−h

*Electronic address: maierta@ornl.gov

Electronic address: jarrell@physics.uc.edu

Electronic address: djs@vulcan2.physics.ucsb.edu