Abstract
We analyze the charge fluctuations in the two-dimensional quarter-filled extended Hubbard model on an anisotropic triangular lattice. We formulate the patch functional-renormalization-group method for this system and examine the full momentum dependence of the charge/spin susceptibilities. Two distinct peak structures in the charge susceptibility are obtained, where one is due to the Fermi-surface nesting condition and the other is due to the intersite Coulomb repulsions. It is shown that the mode-coupling effects within the particle-hole channel are crucial to improve the results of the random-phase-approximation, while the mode-coupling effects involving the particle-particle channel do not have strong effects. The validity of the random-phase-approximation is also discussed.
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