Abstract
The extended Hubbard model in an anisotropic triangular lattice is analyzed at quarter filling by the functional renormalization group (fRG) approach. We obtain the finite temperature phase diagram in the plane of nearest inter-site Coulomb interaction Vp and next-nearest Coulomb interaction Vc. When Vp ≈ Vc, charge order does not occur down to the low temperature of 0.1tp, where the tp is the electron transfer between the nearest neighbor sites. We interpret the result using the random-phase approximation(RPA).
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