Phase Diagram of the One-Dimensional Extended Hubbard Model at Half Filling

2001/09/04 by Masahisa Tsuchiizu, M. Tsuchiizu, Akira Furusaki +1 · 4 citations
Materials Science · Physics and Astronomy · #Electronic and Structural Properties of Oxides #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.88.056402

published as Phys. Rev. Lett. 88, 056402 (2002) · 4 pages, 3 figures

arxiv created 2001/09/04 · openalex publication_date 2002/01/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We reexamine the ground-state phase diagram of the one-dimensional half-filled Hubbard model with on-site and nearest-neighbor repulsive interactions. We calculate second-order corrections to coupling constants in the weak-coupling renormalization-group approach ( g-ology) to show that the bond-charge-density-wave (BCDW) phase exists for weak couplings in between the charge-density-wave (CDW) and spin-density-wave (SDW) phases. We find that the umklapp scattering of parallel-spin electrons destabilizes the BCDW state and gives rise to a bicritical point where the CDW-BCDW and SDW-BCDW continuous-transition lines merge into the CDW-SDW first-order transition line.

Citations

• Bond-operator theory of doped antiferromagnets: From Mott insulators with bond-centered charge order to superconductors with nodal fermions

Cited by

• Static versus dynamic fluctuations in the one-dimensional extended Hubbard model
• One-dimensional extended Hubbard model in the atomic limit
• Ground-State Phase Diagram of a Half-Filled One-Dimensional Extended Hubbard Model
• Charge ordering in extended Hubbard models: Variational cluster approach