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

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: $2k_{\mathrm{F}}$- and $4k_{\mathrm{F}}$-charge-density-wave and a broad metallic phase in-between. The metal is a Tomonaga-Luttinger-liquid whose critical exponent $K_{\rho }$ is largest around $V_1=2V_2$, where $V_1$ and $V_2$ are frustrated, and smallest, $K_{\rho }=0.25$, at the boundaries between the metallic phase and each of the two ordered phases.

arXiv comment4 pages, 5 figures, sumitted to PRB

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• Pairing in spin chains and spinless fermions with next-nearest neighbour interactions
• Quantum phases of a one-dimensional dipolar Fermi gas
• Charge Gap in the One-Dimensional Extended Hubbard Model at Quarter Filling
• Ground states of long-range interacting fermions in one spatial dimension
• Pairwise entanglement and the Mott transition for correlated electrons in nanochains
• Finite doping of a one-dimensional charge density wave: solitons vs. Luttinger liquid charge density
• Spiral charge frustration in molecular conductor (DI-DCNQI)2Ag
• First Order Topological Phase Transitions and Disorder Induced Majorana Modes in Interacting Fermion Chains