Mott insulating state in a quarter-filled two-orbital Hubbard chain with different bandwidths

We investigate the ground-state properties of the one-dimensional two-band Hubbard model with different bandwidths. The density-matrix renormalization group method is applied to calculate the averaged electron occupancies $n$ as a function of the chemical potential $\mu$. Both at quarter and half fillings, "charge plateaux" appear in the $n$-$\mu$ plot, where $d\mu/dn$ diverges and the Mott insulating states are realized. To see how the orbital polarization in the one-quarter charge plateau develops, we apply the second-order perturbation theory from the strong-coupling limit at quarter filling. The resultant Kugel-Khomskii spin-orbital model includes a $magnetic$ field coupled to orbital pseudo-spins. This field originates from the discrepancy between the two bandwidths and leads to a finite orbital pseudo-spin magnetization.Comment: 4 pages, 2 figures, Proceedings of LT2

Two- and three dimensional frustrated spin systems(New Developments in Strongly Correlated Electron Systems)

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Parity-broken ground state for the spin-1 pyrochlore antiferromagnet

The ground-state properties of the spin-1 pyrochlore antiferromagnet are studied by applying the VBS-like tetrahedron-unit decomposition to the original spin system. The symmetrization required on every vertex is taken into account by introducing a ferromagnetic coupling. The pairwise effective Hamiltonian between the adjacent tetrahedrons is obtained by considering the next nearest neighbor and the third neighbor exchange interactions. We find that the transverse component of the spin chirality exhibits a long-range order, breaking the parity symmetry of the tetrahedral group, while the chirality itself is not broken.Comment: 4 pages, 3 figures, REVTeX(ver.3.1

Crossover Phenomena in the One-Dimensional SU(4) Spin-Orbit Model under Magnetic Fields

We study the one-dimensional SU(4) exchange model under magnetic fields, which is the simplest effective Hamiltonian in order to investigate the quantum fluctuations concerned with the orbital degrees of freedom in coupled spin-orbit systems. The Bethe ansatz approaches and numerical calculations using the density matrix renormalization group method are employed. The main concern of the paper is how the system changes from the SU(4) to the SU(2) symmetric limit as the magnetic field is increased. For this model the conformal field theory predicts an usual behavior: there is a jump of the critical exponents just before the SU(2) limit. For a finite-size system, however, the orbital-orbital correlation functions approach continuously to the SU(2) limit after interesting crossover phenomena. The crossover takes place in the magnetization range of 1/3 $\sim$ 1/2 for the system with 72 sites studied in this paper.Comment: 8 pages, 6 Postscript figures, REVTeX, submitted to Phys. Rev.

Retinoic acid controls vascular formation by activating transcription of aryl hydrocarbon receptor gene in medakafish Oryzias latipes

Retinoic acid (RA) has been shown to have a role in vascular formation, but how it affects is not fully understood. Previously, we reported that RA and its nuclear receptor (RAR) is required for transcription of ahr1 encoding an aryl hydrocarbon receptor (AHR), and that pharmacological modulation of RA, RAR, and AHR impairs the formation of common cardinal veins (CCVs) on the yolk of medakafish embryos. Here, to delineate a role for ahr1 in the vascular formation, we used an antisense-ahr1 mRNA to suppress ahr1. Following the development of vegfr1-expressing angioblast cells, we show that the antisense-ahr1 greatly inhibited the accumulation of angioblasts at the prospective branchial arch (PBA) where CCVs begin to develop on the yolk and the following CCV formation, demonstrating for the first time the essential role of ahr1 in the embryonic vascular formation of vertebrates. We also show that rarα and ahr1 mRNAs are co-expressed at PBA, suggesting a possible role of the specific expression.This work was supported in part by a grant from the Ministry of Education, Science, Sports and Culture of Japan

Spin Driven Jahn-Teller Distortion in a Pyrochlore system

The ground-state properties of the spin-1 antiferromagnetic Heisenberg model on the corner-sharing tetrahedra, pyrochlore lattice, is investigated. By breaking up each spin into a pair of 1/2-spins, the problem is reduced to the equivalent one of the spin-1/2 tetrahedral network in analogy with the valence bond solid state in one dimension. The twofold degeneracy of the spin-singlets of a tetrahedron is lifted by a Jahn-Teller mechanism, leading to a cubic to tetragonal structural transition. It is proposed that the present mechanism is responsible for the phase transition observed in the spin-1 spinel compounds ZnV$_2$O$_4$ and MgV$_2$O$_4$.Comment: 4 pages, 3 eps figures, REVTeX, to appear in Phys. Rev. Let