Journal of the Physical Society of Japan

Interplay of Lattice Dimerization and Charge Ordering in One-Dimensional Quarter-Filled Electron Systems

Muneo Sugiura, Masahisa Tsuchiizu, Yoshikazu Suzumura

Published Sep 15, 2004• 8 citations

Abstract

The effect of charge ordering on lattice dimerization has been investigated in the one-dimensional extended Peierls–Hubbard model at quarter filling. We estimate the strength of the lattice dimerization by applying the bosonization method and the perturbative renormalization-group method. In the ground state, it is shown that a first-order phase transition takes place between the dimerized insulator and the charge-ordered insulator. The lattice dimerization disappears in the charge-ordered state, while the lattice dimerization is appreciably suppressed even in the dimerized insulating state due to charge fluctuations. The phase diagram at finite temperature is also discussed.

DOI: 10.1143/jpsj.73.2487

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Journal of the Physical Society of Japan

Interplay of Lattice Dimerization and Charge Ordering in One-Dimensional Quarter-Filled Electron Systems

Muneo Sugiura, Masahisa Tsuchiizu, Yoshikazu Suzumura

Published Sep 15, 2004• 8 citations

Publisher

Abstract

DOI: 10.1143/jpsj.73.2487

Related papers

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Motivated by experiments on the organic compound ${(\text{Per})}_{2}[\text{Pt}{(\text{mnt})}_{2}]$ , we study the ground state of the one-dimensional Kondo lattice model at quarter filling with the density matrix renormalization group method. We show a coupled dimer and bond-order-wave (BOW) state in the weak-coupling regime for the localized spins and itinerant electrons, respectively. The quantum phase transitions for the dimer and the BOW orders occur at the same critical coupling parameter ${J}_{c}$ , with the opening of a charge gap. The emergence of the combination of dimer and BOW order agrees with the experimental findings of the simultaneous Peierls and spin-Peierls transitions at low temperatures, which provides a theoretical understanding of such a phase transition. We also show that the localized spins in this insulating state have quasi-long-ranged spin correlations with collinear configurations, which resemble the classical dimer order in the absence of a magnetic order.Motivated by experiments on the organic compound ${(\text{Per})}_{2}[\text{Pt}{(\text{mnt})}_{2}]$, we study the ground state of the one-dimensional Kondo lattice model at quarter filling with the density matrix renormalization group method. We show a coupled dimer and bond-order-wave (BOW) state in the weak-coupling regime for the localized spins and itinerant electrons, respectively. The quantum phase transitions for the dimer and the BOW orders occur at the same critical coupling parameter ${J}_{c}$, with the opening of a charge gap. The emergence of the combination of dimer and BOW order agrees with the experimental findings of the simultaneous Peierls and spin-Peierls transitions at low temperatures, which provides a theoretical understanding of such a phase transition. We also show that the localized spins in this insulating state have quasi-long-ranged spin correlations with collinear configurations, which resemble the classical dimer order in the absence of a magnetic order.

arXiv:2009.13089Physical review. B./Physical review. BDec 24, 20205 citations

We study the one-dimensional Holstein model with spin-

\frac{1}{2}

electrons at half filling. Ground-state properties are calculated for long chains with great accuracy using the density-matrix renormalization-group method and extrapolated to the thermodynamic limit. We show that for small electron-phonon coupling or large phonon frequency, the insulating Peierls ground state predicted by mean-field theory is destroyed by quantum lattice fluctuations and that the system remains in a metallic phase with a nondegenerate ground state and power-law electronic and phononic correlations. When the electron-phonon coupling becomes large or the phonon frequency small, the system undergoes a transition to an insulating Peierls phase with a twofold degenerate ground state, long-range charge-density-wave order, a dimerized lattice structure, and a gap in the electronic excitation spectrum.

We investigate the ground-state phase diagram of the quarter-filled Hubbard ladder with nearest-neighbor Coulomb repulsion

V

using the density matrix renormalization-group technique. The ground state is homogeneous at small

V,

a ``checkerboard'' charge-ordered insulator at large

V

and not too small on site Coulomb repulsion U, and is phase separated for moderate or large

V

and small U. The zero-temperature transition between the homogeneous and the charge-ordered phase is found to be second order. In both the homogeneous and the charge-ordered phases the existence of a spin gap mainly depends on the ratio of interchain to intrachain hopping. In the second part of the paper we construct an effective Hamiltonian for the spin degrees of freedom in the strong-coupling, charge-ordered regime that maps the system onto a frustrated spin chain. The opening of a spin gap is thus connected with spontaneous dimerization.

Motivated by experiments on the organic compound

{(\text{Per})}_{2}[\text{Pt}{(\text{mnt})}_{2}]

, we study the ground state of the one-dimensional Kondo lattice model at quarter filling with the density matrix renormalization group method. We show a coupled dimer and bond-order-wave (BOW) state in the weak-coupling regime for the localized spins and itinerant electrons, respectively. The quantum phase transitions for the dimer and the BOW orders occur at the same critical coupling parameter

{J}_{c}

, with the opening of a charge gap. The emergence of the combination of dimer and BOW order agrees with the experimental findings of the simultaneous Peierls and spin-Peierls transitions at low temperatures, which provides a theoretical understanding of such a phase transition. We also show that the localized spins in this insulating state have quasi-long-ranged spin correlations with collinear configurations, which resemble the classical dimer order in the absence of a magnetic order.