Ground-state phase diagram of the one-dimensional half-filled extended Hubbard model

Abstract

We revisit the ground-state phase diagram of the one-dimensional half-filled extended Hubbard model with on-site (U) and nearest-neighbor (V) repulsive interactions. In the first half of the paper, using the weak-coupling renormalization-group approach (g-ology) including second-order corrections to the coupling constants, we show that bond-charge-density-wave (BCDW) phase exists for U \approx 2V in between charge-density-wave (CDW) and spin-density-wave (SDW) phases. We find that the umklapp scattering of parallel-spin electrons disfavors the BCDW state and leads to a bicritical point where the CDW-BCDW and SDW-BCDW continuous-transition lines merge into the CDW-SDW first-order transition line. In the second half of the paper, we investigate the phase diagram of the extended Hubbard model with either additional staggered site potential Δor bond alternation δ. Although the alternating site potential Δstrongly favors the CDW state (that is, a band insulator), the BCDW state is not destroyed completely and occupies a finite region in the phase diagram. Our result is a natural generalization of the work by Fabrizio, Gogolin, and Nersesyan [Phys. Rev. Lett. 83, 2014 (1999)], who predicted the existence of a spontaneously dimerized insulating state between a band insulator and a Mott insulator in the phase diagram of the ionic Hubbard model. The bond alternation δdestroys the SDW state and changes it into the BCDW state (or Peierls insulating state). As a result the phase diagram of the model with δcontains only a single critical line separating the Peierls insulator phase and the CDW phase. The addition of Δor δchanges the universality class of the CDW-BCDW transition from the Gaussian transition into the Ising transition.

24 pages, 20 figures, published version

References in corpus (2)

• Coexistence of Charge Order and Spin-Peierls Lattice Distortion in One-Dimensional Organic Conductors
• Comment on ``Ground State Phase Diagram of a Half-Filled One-Dimensional Extended Hubbard Model''

Cited by in corpus (25)

• Deconfined quantum critical point in one dimension
• Functional Renormalization Group Analysis of the Half-filled One-dimensional Extended Hubbard Model
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Search for quantum dimer phases and transitions in a frustrated spin ladder
• Incommmensurability and unconventional superconductor to insulator transition in the Hubbard model with bond-charge interaction
• Gap scaling at Berezinskii-Kosterlitz-Thouless quantum critical points in one-dimensional Hubbard and Heisenberg models
• Quantum phase diagram of the half filled Hubbard model with bond-charge interaction
• Deconfined quantum criticality in spin-1/2 chains with long-range interactions
• Tomonaga-Luttinger parameters and spin excitations in the dimerized extended Hubbard model
• Monte Carlo based techniques for quantum magnets with long-range interactions
• Singlet exciton condensation and bond-order-wave phase in the extended Hubbard model
• Unusual low-temperature behavior in the half-filled band of the one-dimensional extended Hubbard model in atomic limit
• Two-loop renormalization-group theory for the quasi-one-dimensional Hubbard model at half filling
• Peierls ground state and excitations in the electron-lattice correlated system (EDO-TTF)_{2}X
• $d$- and $p$-wave quantum liquid crystal orders in cuprate superconductors, $\kappa$-(BEDT-TTF)${}_2$X, and coupled chain Hubbard models: functional-renormalization-group analysis
• Weakly interacting one-dimensional topological insulators: a bosonization approach
• Quantum Otto engine mimicking Carnot near pseudotransitions in the one-dimensional extended Hubbard model in the atomic limit
• Static versus dynamic fluctuations in the one-dimensional extended Hubbard model
• Chiral Spin Liquid and Quantum Phase Transition in the Triangular Lattice Hofstadter-Hubbard Model
• Repulsion driven metallic phase in the ground state of the half-filled $t-t^{\prime }$ ionic Hubbard chain
• Long range alternating spin current order in a quantum wire with modulated spin-orbit interactions
• Effect of mediated interactions on a Hubbard chain in mixed-dimensional fermionic cold atoms
• Orbital antiferromagnetic currents in a frustrated fermionic ladder
• Functional Renormalization Group for fermions on a one dimensional lattice at arbitrary filling
• Itinerant magnetism in Hubbard models with long-range interactions