Abstract:We theoretically study the effect of spiral-type charge frustration in a quasi-one-dimensional molecular conductor (DI-DCNQI)2Ag. We clarify how the spiral frustration in the interchain Coulomb repulsion is relieved and leads to a self-organization of complex charge-lattice ordered chains, in agreement with the recent synchrotron x-ray study [T. Kakiuchi, Phys. Rev. Lett. 98, 066402 (2007)10.1103/PhysRevLett.98.066402]. In addition, we find that a keen competition between charge and lattice degrees of freedom … Show more
“…34,35) A difference between our model and the situation in the actual TMTTF compounds is that, the present calculation does not include the intrinsic lattice dimerization along the chains while it exists in the materials, which leads to another non-linear term in the bosonized Hamiltonian. 22) In (DI-DCNQI) 2 Ag, even though recent studies 36,37) revealed that the system undergoes a more complex chargelattice ordering than the simple CO we investigate in this paper, the T dependence in ρ(T ) across T = T CO observed at high pressure resembles our calculated data, whereas the kink at T = T CO is smeared out at ambient pressure. 38,39) All these Q1D molecular conductors show no anomaly in the bulk χ σ (T ) at T = T CO , while NMR measurements show the appearance of atomic sites showing different Knight shifts and relaxation rates: 40,41) these are also consistent with our analysis.…”
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.
“…34,35) A difference between our model and the situation in the actual TMTTF compounds is that, the present calculation does not include the intrinsic lattice dimerization along the chains while it exists in the materials, which leads to another non-linear term in the bosonized Hamiltonian. 22) In (DI-DCNQI) 2 Ag, even though recent studies 36,37) revealed that the system undergoes a more complex chargelattice ordering than the simple CO we investigate in this paper, the T dependence in ρ(T ) across T = T CO observed at high pressure resembles our calculated data, whereas the kink at T = T CO is smeared out at ambient pressure. 38,39) All these Q1D molecular conductors show no anomaly in the bulk χ σ (T ) at T = T CO , while NMR measurements show the appearance of atomic sites showing different Knight shifts and relaxation rates: 40,41) these are also consistent with our analysis.…”
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.
“…In parallel to, and independent of this theoretical indication, CO was observed by NMR [30] in another quasi-one-dimensional CT, (DI-DCNQI) 2 Ag (DI-DCNQI =2,5-diiodo-N,N'-Dicyanobenzoquinonediimine2,5-diiodo-N,N'-Dicyanobenzoquinonediimine), which is without dimerization at high temperatures. (Once CO sets in, a particular type of dimerization is stabilized [31,32].) A little later CO was also identified by NMR in an experiment with (TMTTF) 2 X (X = PF 6 and AsF 6 ) with finite dimerization [33].…”
Molecular solids are generally highly insulating. The creation of conducting molecular solids proved to be a major scientific challenge. As in the case of Si technology, the challenge started as impurity doping in band insulators and then developed into highly doped polymers, which are not crystalline. More conducting materials in crystalline forms have been realized in charge transfer (CT) complexes with two different kinds of molecules, where electrons are transferred between them in solids. In such CT complexes, not only conducting, but also even superconducting systems were achieved in 1980 and today more than 100 different superconductors are known. The most remarkable achievement in this direction was the realization of a truly metallic state in molecular solids based on a single kind of molecule. These are called single component molecular metals (SCMM) and consist of a rich variety of electronic properties. In these conducting molecular solids, CT and SCMM, many interesting electronic properties resulting from mutual Coulomb interactions and electron-phonon interactions have been explored so far, and these will be reviewed briefly in this article from a theoretical viewpoint. Challenges to come, based on these achievements, are also discussed at the end of this review.
“…However, it is rather rare to have such an example in the existing compounds; Many have intrinsic dimerization and/or complex interchain coupling. DI-DCNQI 2 Ag [34,50] was formally considered to be the typical system, while recently it has been proposed that the ordered phase below T < 220 K might be a complex CO, DM mixed state [51,52]. TMTTF 2 X [35,53,54] family have been providing an ideal stage for such comparison, for systems with dimerization from the outset.…”
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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