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Phys. Rev. Lett. 96, 047005 (2006) [4 pages]

Structure of the Pairing Interaction in the Two-Dimensional Hubbard Model

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T. A. Maier1,*, M. S. Jarrell2,†, and D. J. Scalapino3,‡
1Computer 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 15 August 2005; published 2 February 2006

Dynamic cluster Monte Carlo calculations for the doped two-dimensional Hubbard model are used to study the irreducible particle-particle vertex responsible for dx2-y2 pairing in this model. This vertex increases with increasing momentum transfer and decreases when the energy transfer exceeds a scale associated with the Q=(π,π) spin susceptibility. Using an exact decomposition of this vertex into a fully irreducible two-fermion vertex and charge and magnetic exchange channels, the dominant part of the effective pairing interaction is found to come from the magnetic, spin S=1 exchange channel.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.96.047005
DOI:
10.1103/PhysRevLett.96.047005
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