We study the t-J-V model beyond mean field level at finite doping on the triangular lattice. The Coulomb repulsion V between nearest neighbors brings the system to a charge ordered state for V larger than a critical value V c . One-particle spectral properties such as self-energy, spectral functions, and the quasiparticle weight are studied near and far from the charge ordered phase. When the system approaches the charge ordered state, charge fluctuations become soft and they strongly influence the system leading to incoherent one-particle excitations. Possible implications for cobaltates are given.
͑1͒where t, J, and V are the hopping, the exchange interaction, and the Coulomb repulsion, respectively, between nearestneighbor sites denoted by ͗ij͘. c i † and c i are the fermionic creation and destruction operators, respectively, under the constraint that double occupancy is excluded, and n i is the corresponding density operator at site i.As described in Ref. 6 the Hamiltonian ͑1͒ can be written in terms of Hubbard operators 14 as PHYSICAL REVIEW B 77, 075131 ͑2008͒