Magnetic properties and Mott transition of the Hubbard model for weakly coupled chains on the anisotropic triangular lattice

Abstract

We investigate the magnetic properties and Mott transition in the Hubbard model for weakly coupled chains on the anisotropic triangular lattice. Taking into account 120${}^{\circ }$ Néel, and collinear orderings, the magnetic phase diagram is studied at zero temperature and half-filling by the variational cluster approximation. We found that when the on-site Coulomb repulsion $U$ is relatively large, nonmagnetic insulator, which is a candidate of the spin liquid state, is realized for wide range of the interchain hopping from quasi two-dimensional to almost one-dimensional regime. When the interchain hopping is relatively large, this nonmagnetic insulator becomes magnetic states as $U$ decreases. For rather small interchain hopping, it changes to the paramagnetic metal, thus purely paramagnetic metal-insulator transition (Mott transition) takes place. Implications of our results for the Cs${}_2$CuBr${}_4$ and Cs${}_2$CuCl${}_4$ are discussed.

6 pages, 5 figures

References in corpus (9)

• Variational cluster approach to correlated electron systems in low dimensions
• Variational cluster approach to spontaneous symmetry breaking: The itinerant antiferromagnet in two dimensions
• Ordering in spatially anisotropic triangular antiferromagnets
• Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations
• Possibility of Gapless Spin Liquid State by One-dimensionalization
• Quantum disorder in the spatially completely anisotropic triangular lattice I: Heisenberg $S=1/2$ antiferromagnet
• Quantum disorder in the spatially completely anisotropic triangular lattice II: frustrated hard-core bosons
• Numerical study of incommensurability of the spiral state on spin-1/2 spatially anisotropic triangular antiferromagnets using entanglement renormalization
• Magnetic phase diagram and Mott transition of the half-filled 1/5-depleted Hubbard model with frustration

Cited by in corpus (4)

• Mott transition and magnetism on the anisotropic triangular lattice
• Magnetic phases of the anisotropic triangular lattice Hubbard model
• Magnetic phase diagram and Mott transition of the half-filled 1/5-depleted Hubbard model with frustration
• $d$-wave Superconductivity in the Hubbard model on the isotropic triangular lattice and a possibility of the chiral $d+id$ pairing as a quasi-stable state