Systematic Analysis of Frustration Effects in Anisotropic Checkerboard Lattice Hubbard Model

Abstract

We study the ground state properties of the geometrically frustrated Hubbard model on the anisotropic checkerboard lattice with nearest-neighbor hopping $t$ and next nearest-neighbor hopping $t^{\prime }$. By using the path-integral renormalization group method, we study the phase diagram in the parameter space of the Hubbard interaction $U$ and the frustration-control parameter $t^{\prime }/t$. Close examinations of the effective hopping, the double occupancy, the momentum distribution and the spin/charge correlation functions allow us to determine the phase diagram at zero temperature, where the plaquette-singlet insulator emerges besides the antiferromagnetic insulator and the paramagnetic metal. Spin-liquid insulating states without any kind of symmetry breaking cannot be found in our frustrated model.

7pages, 5figures

References in corpus (20)

• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• The Hubbard model on the triangular lattice: Spiral order and spin liquid
• Gapless quantum spin liquid, stripe and antiferromagnetic phases in frustrated Hubbard models in two dimensions
• Finite temperature Mott transition in Hubbard model on anisotropic triangular lattice
• Exact diagonalization study of Mott transition in the Hubbard model on an anisotropic triangular lattice
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Doped Mott insulator as the origin of heavy Fermion behavior in LiV2O4
• Quantum-number projection in the path-integral renormalization group method
• Spin-Charge Separation in Two-dimensional Frustrated Quantum Magnets
• Correlated Fermions on a Checkerboard Lattice
• Precise Determination of Phase Diagram for Two-Dimensional Hubbard Model with Filling- and Bandwidth-Control Mott Transitions: Grand-Canonical Path-Integral Renormalization Group Approach
• Spectral functions and optical conductivity of spinless fermions on a checkerboard lattice
• Enhanced pairing in doped quantum magnets with frustrating hole motion
• Doped Singlet-Pair Crystal in the Hubbard model on the checkerboard lattice
• Mott Transition in the Hubbard Model on Checkerboard Lattice
• Metal-insulator transition in the quarter- filled frustrated checkerboard lattice
• Plaquette bond order wave in the quarter-filled extended Hubbard model on the checkerboard lattice
• Unconventional Superconducting Symmetry in a Checkerboard Antiferromagnet
• Absence of Translational Symmetry Breaking in Nonmagnetic Insulator Phase on Two-Dimensional Lattice with Geometrical Frustration
• Exotic Mott phases of the extended t--J model on the checkerboard lattice at commensurate densities

Cited by in corpus (5)

• Local Electron Correlations in a Two-dimensional Hubbard Model on the Penrose Lattice
• Realization of a two-dimensional checkerboard lattice in monolayer Cu${}_2$N
• Supersolid phases of a doped valence-bond quantum antiferromagnet: Evidence for a coexisting superconducting order parameter
• Strong ferromagnetic fluctuations in a doped checkerboard lattice
• Competition between $d$-wave and $d$+$is$-wave superconductivity in the Hubbard model on a checkerboard lattice