Quarter-filled extended Hubbard model with alternating transfer integral: Two-dimensional Ising transition in the ground state

Abstract

We study the one-dimensional quarter-filled extended Hubbard model with an alternating transfer integral. In the strong-dimerization limit the charge part is described by the quantum Ising model which shows the two-dimensional Ising criticality at the self-dual point, and it is naturally connected to the double-frequency sine-Gordon theory in the weak dimerization. Treating low-lying excitations in finite-size systems, we numerically determine a phase boundary between two types of $4k_{\mathrm{F}}$ density-wave states and clarify the ground-state phase diagram. Further, we refer to its relevances to the charge-ordered phase observed in the charge-transfer organic salts.

arXiv comment4 pages, 2 figures

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Cited by in corpus (6)

• Theoretical Aspects of Charge Ordering in Molecular Conductors
• Charge-Ordered State versus Dimer-Mott Insulator at Finite Temperatures
• Long-range spin chirality dimer order in the Heisenberg chain with modulated Dzyaloshinskii-Moriya interactions
• Phase Diagram of the Square-Lattice Three-State Potts Antiferromagnet with Staggered Polarization Field
• Nonadiabatic Dynamics of Ultracold Fermions in Optical Superlattices
• Su-Schrieffer-Heeger-Hubbard model at quarter filling: effects of magnetic field and non-local interactions