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Phys. Rev. B 41, 9435–9443 (1990)

Phase diagram of the extended Hubbard model in one spatial dimension

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Joel W. Cannon and Eduardo Fradkin
Department of Physics, Univeristy of Illinois at Urbana–Champaign, 110 West Green Street, Urbana, Illinois 61801

Received 18 January 1989; published in the issue dated 1 May 1990

We report results obtained for the phase diagram and critical behavior of the extended Hubbard model in one spatial dimension at half-filling. We show that umklapp scattering is responsible for the tricritical behavior. We calculate the critical exponents at the tricritical point, and along the critical line separating the charge- and spin-density-wave phases. In addition, using Monte Carlo simulations we estimate the position of the tricritical point to occur at approximately U=1.5 and V=3.1 in units of the hopping energy.

© 1990 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.41.9435
DOI:
10.1103/PhysRevB.41.9435
PACS:
05.30.Fk