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Phys. Rev. B 75, 081101(R) (2007) [4 pages]

Exact Green’s functions for the two-site Hubbard-Holstein Hamiltonian

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Mona Berciu
Department of Physics and Astronomy, University of British Columbia, Vancouver, Canada, BC V6T 1Z1

Received 14 November 2006; revised 7 January 2007; published 5 February 2007

We derive exactly all Green’s functions for the two-site Hubbard-Holstein model. We then study the bipolaron phase diagram, with emphasis on its unbinding into two polarons and on the crossover from a two-site to a one-site bipolaron. The results are relevant for infinite-size systems.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.75.081101
DOI:
10.1103/PhysRevB.75.081101
PACS:
71.38.−k, 72.10.Di, 63.20.Kr