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

dc.creatorEjima, Satoshi
dc.creatorGebhard, Florian
dc.creatorNishimoto, Satoshi
dc.creatorOhta, Yukinori
dc.date2004-11-05
dc.date2005-01-25
dc.date.accessioned2026-07-07T03:01:54Z
dc.date.available2026-07-07T03:01:54Z
dc.descriptionWe 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: $2k_{\rm F}$- and $4k_{\rm F}$-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 $V_1=2V_2$, 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.
dc.description4 pages, 5 figures, sumitted to PRB
dc.identifierhttps://arxiv.org/abs/cond-mat/0411151
dc.identifierhttp://arxiv.org/abs/cond-mat/0411151
dc.identifierPhys. Rev. B, 72, 033101 (2005)
dc.identifierdoi:10.1103/PhysRevB.72.033101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/25218
dc.subjectStrongly Correlated Electrons
dc.titlePhase Diagram of the $t$--$U$--$V_1$--$V_2$ Model at Quarter Filling
dc.typetext

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