Phase Diagram of the $t$--$U$--$V_1$--$V_2$ Model at Quarter Filling

Satoshi Ejima; Florian Gebhard; Satoshi Nishimoto; Yukinori Ohta

doi:10.1103/PhysRevB.72.033101

paper

Phase Diagram of the $t$ -- $U$ -- $V_{1}$ -- $V_{2}$ Model at Quarter Filling

arXiv:cond-mat/0411151 · doi:10.1103/PhysRevB.72.033101

Abstract

We examine the ground-state properties of the one-dimensional Hubbard model at quarter filling with Coulomb interactions between nearest-neighbors $V_{1}$ and next-nearest neighbors $V_{2}$ . Using the density-matrix renormalization group and exact diagonalization methods, we obtain an accurate ground-state phase diagram in the $V_{1}$ - $V_{2}$ plane with three different phases: $2 k_{F}$ - and $4 k_{F}$ -charge-density-wave and a broad metallic phase in-between. The metal is a Tomonaga-Luttinger-liquid whose critical exponent $K_{ρ}$ is largest around $V_{1} = 2 V_{2}$ , where $V_{1}$ and $V_{2}$ are frustrated, and smallest, $K_{ρ} = 0.25$ , at the boundaries between the metallic phase and each of the two ordered phases.

4 pages, 5 figures, sumitted to PRB

References in corpus (1)

Tomonaga-Luttinger parameters for doped Mott insulators

Phase Diagram of the t--U--V1​--V2​ Model at Quarter Filling

Abstract

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Phase Diagram of the $t$ -- $U$ -- $V_{1}$ -- $V_{2}$ Model at Quarter Filling