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- W2079582024 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 $Uensuremath{approx}2V$ 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 $ensuremath{Delta}$ or bond alternation $ensuremath{delta}.$ Although the alternating site potential $ensuremath{Delta}$ strongly 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 $ensuremath{delta}$ destroys the SDW state and changes it into the BCDW state (or Peierls insulating state). As a result the phase diagram of the model with $ensuremath{delta}$ contains only a single critical line separating the Peierls insulator phase and the CDW phase. The addition of $ensuremath{Delta}$ or $ensuremath{delta}$ changes the universality class of the CDW-BCDW transition from the Gaussian transition into the Ising transition." @default.
- W2079582024 created "2016-06-24" @default.
- W2079582024 creator A5056917130 @default.
- W2079582024 creator A5059607909 @default.
- W2079582024 date "2004-01-15" @default.
- W2079582024 modified "2023-09-24" @default.
- W2079582024 title "Ground-state phase diagram of the one-dimensional half-filled extended Hubbard model" @default.
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- W2079582024 doi "https://doi.org/10.1103/physrevb.69.035103" @default.
- W2079582024 hasPublicationYear "2004" @default.
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