Charge-Ordered State versus Dimer-Mott Insulator at Finite Temperatures

Yoshioka, Hideo; Tsuchiizu, Masahisa; Seo, Hitoshi

doi:10.1143/jpsj.76.103701

Cited by 28 publications

(27 citation statements)

References 29 publications

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“…Yoshioka et al studied the one-dimensional quarter-filled extended Hubbard model interacting with the neighboring chains via small V ⊥ -and V ⊥ -bonds, using the bosonization technique combined with the inter-chain mean-field (see Figure 14(a)) [51]. To understand their context we draw schematic phase diagrams in Figure 14(b); when U and t d are enough large, the ground states in one-dimension (V ⊥ = V ⊥ = 0) are divided into the charge order and the dimer Mott insulator by the intra-chain Coulomb interaction at V 1D = V c 1D [52].…”

Section: Dielectricsmentioning

confidence: 99%

Theories on Frustrated Electrons in Two-Dimensional Organic Solids

Hotta

2012

Crystals

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Two-dimensional quarter-filled organic solids are a promising class of materials to realize the strongly correlated insulating states called dimer Mott insulator and charge order. In their conducting layer, the molecules form anisotropic triangular lattices, harboring geometrical frustration effect, which could give rise to many interesting states of matter in the two insulators and in the metals adjacent to them. This review is concerned with the theoretical studies on such issue over the past ten years, and provides the systematic understanding on exotic metals, dielectrics, and spin liquids, which are the consequences of the competing correlation and fluctuation under frustration.

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Section: Dielectricsmentioning

confidence: 99%

Theories on Frustrated Electrons in Two-Dimensional Organic Solids

Hotta

2012

Crystals

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“…which enables us to investigate the finite transition temperature T CO [26,27] as well as the T -dependences of several quantities across T CO [21] by the bosonization method. Such an interchain mean-field treatment has been applied to different Q1D systems and is known to be accurate as long as we have small interchain couplings [28,29].…”

Section: Quasi One Dimensionmentioning

confidence: 99%

Theoretical Studies on Phase Transitions in Quasi-One-Dimensional Molecular Conductors

2012

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A review is given for recent theoretical studies on phase transitions in quasi-one-dimensional molecular conductors with a quarter-filled band. By lowering temperature, charge transfer salts exhibit a variety of transitions accompanying symmetry breaking, such as charge ordering, lattice dimerization, antiferromagnetic transition, spin-Peierls distortion, and so on. Analyses on microscopic quasi-one-dimensional models provide their systematic understandings, by the complementary use of different analytical and numerical techniques; they can reproduce finite-temperature phase transitions, whose results can be directly compared with experiments and give feedbacks to material design.

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“…Such initial values can be calculated from the parameters of the original lattice model by considering the interaction processes near the Fermi level. In our previous studies on CO based on such procedure, 4,12,13,22) the third-order processes mediated by the states far from the Fermi level were crucial in deriving the 8k F umklapp scattering g 1/4 -term, which triggers the CO insulating state. Note that the third-order virtual processes also play crucial roles for the spin degree of freedom.…”

Section: Bosonization + Rgmentioning

confidence: 99%

“…The same approach can be applied to evaluate the splitting of Knight shift, which is often observed in experiments to detect the CO transition. In the interchain mean-field approach, the Knight shift at the charge rich site and the poor site, S + and S − , are given by 13) …”

Section: Uniform Spin Susceptibilitymentioning

confidence: 99%

Finite-Temperature Properties across the Charge Ordering Transition –Combined Bosonization, Renormalization Group, and Numerical Methods–

et al. 2010

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We theoretically describe the charge ordering (CO) metal-insulator transition based on a quasi-onedimensional extended Hubbard model, and investigate the finite temperature (T ) properties across the transition temperature, TCO. In order to calculate T dependence of physical quantities such as the spin susceptibility and the electrical resistivity, both above and below TCO, a theoretical scheme is developed which combines analytical methods with numerical calculations. We take advantage of the renormalization group equations derived from the effective bosonized Hamiltonian, where Lanczos exact diagonalization data are chosen as initial parameters, while the CO order parameter at finite-T is determined by quantum Monte Carlo simulations. The results show that the spin susceptibility does not show a steep singularity at TCO, and it slightly increases compared to the case without CO because of the suppression of the spin velocity. In contrast, the resistivity exhibits a sudden increase at TCO, below which a characteristic T dependence is observed. We also compare our results with experiments on molecular conductors as well as transition metal oxides showing CO.

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Charge-Ordered State versus Dimer-Mott Insulator at Finite Temperatures

Cited by 28 publications

References 29 publications

Theories on Frustrated Electrons in Two-Dimensional Organic Solids

Theories on Frustrated Electrons in Two-Dimensional Organic Solids

Theoretical Studies on Phase Transitions in Quasi-One-Dimensional Molecular Conductors

Finite-Temperature Properties across the Charge Ordering Transition –Combined Bosonization, Renormalization Group, and Numerical Methods–

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