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.

arXiv comment7pages, 5figures

References in corpus (39)

• Generalized Lanczos Algorithm for Variational Quantum Monte Carlo
• Nonmagnetic Insulating States near the Mott Transitions on Lattices with Geometrical Frustration and Implications for $\kappa$-(ET)${}_2$Cu${}_2(CN{)}_3$
• Mott Transition, Antiferromagnetism, and d-wave Superconductivity in Two-Dimensional Organic Conductors
• The Hubbard model on the triangular lattice: Spiral order and spin liquid
• Heavy-fermion and spin-liquid behavior in a Kondo lattice with magnetic frustration
• 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
• Magnetic and Metal-Insulator Transitions through Bandwidth Control in Two-Dimensional Hubbard Models with Nearest and Next-Nearest Neighbor Transfers
• Path-Integral Renormalization Group Method for Numerical Study on Ground States of Strongly Correlated Electronic Systems
• Exact diagonalization study of Mott transition in the Hubbard model on an anisotropic triangular lattice
• Path-Integral Renormalization Group Method for Numerical Study of Strongly Correlated Electron Systems
• Anisotropic pyrochlores and the global phase diagram of the checkerboard antiferromagnet
• Quantum-number projection in the path-integral renormalization group method
• Doped Mott insulator as the origin of heavy Fermion behavior in LiV2O4
• High-dimensional fractionalization and spinon deconfinement in pyrochlore antiferromagnets
• On the origin of heavy quasiparticles in LiV_2O_4
• From the Square Lattice to the Checkerboard Lattice : Spin Wave and Large-n Analysis
• Spin-Orbital Fluctuations and a large mass enhancement in LiV_2O_4
• LiV${}_2$O${}_4$: frustration induced heavy fermion metal
• Spin-Charge Separation in Two-dimensional Frustrated Quantum Magnets
• Mott transition and heavy fermion state in the pyrochlore Hubbard model
• Hubbard chains network on corner-sharing tetrahedra: origin of the heavy fermion state in LiV_2O_4
• 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
• Geometrical frustration induced (semi-)metal to insulator transition
• On the heavy-fermion behavior of the pyrochlore transition-metal oxide $Li{V}_2{O}_4$
• Metal-to-Insulator Transition, Spin Gap Generation, and Charge Ordering in Geometrically Frustrated Electron Systems
• On the valence-bond solid phase of the crossed-chain quantum spin model
• Mixed valence on a pyrochlore lattice - LiV2O4 as a geometrically frustrated magnet
• Spectral functions and optical conductivity of spinless fermions on a checkerboard lattice
• Doped Singlet-Pair Crystal in the Hubbard model on the checkerboard lattice
• Enhanced pairing in doped quantum magnets with frustrating hole motion
• Mott Transition in the Hubbard Model on Checkerboard Lattice
• Plaquette bond order wave in the quarter-filled extended Hubbard model on the checkerboard lattice
• Metal-insulator transition in the quarter- filled frustrated checkerboard lattice
• Unconventional Superconducting Symmetry in a Checkerboard Antiferromagnet
• Heavy fermion behavior of itinerant frustrated systems: beta-Mn, Y(Sc)Mn_{2} and LiV_{2}O_{4}$
• 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

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