Strong ferromagnetic fluctuations in a doped checkerboard lattice

Abstract

Using the determinant quantum Monte Carlo method, we study the magnetic susceptibility in the parameter space of the on-site interaction $U$, temperature $T$, electron filling $\avg{n}$, and the frustration control parameter $t^{\prime }$ within the Hubbard model on a two-dimensional checkerboard lattice. It is shown that the system exhibits stable and strong ferromagnetic fluctuations about the electron filling $\avg{n}\ge1.2$ for different $t^{\prime }$, and the ferromagnetic susceptibility is strongly enhanced by the increasing interaction and decreasing tempeture. We also discuss the sign problem to clarify which parameter region is accessible and reliable. Our findings not only demonstrate important implications for modulating magnetism in the checkerboard lattice, but will also provide a theoretical platform for a flat-band model that demonstrates a variety of physical properties.

arXiv comment6 pages, 6 figures

References in corpus (44)

• A Common Thread: the pairing interaction for the unconventional superconductors
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• Room-temperature ferromagnetism in graphite driven by 2D networks of point defects
• Possible Metal/Insulator Transition at B=0 in Two Dimensions
• Magnetic order in the pseudogap phase of high-$T_C$ superconductors
• Observation of Unconventional Charge Density Wave without Acoustic Phonon Anomaly in Kagome Superconductors AV3Sb5 (A=Rb,Cs)
• Electric field scaling at a B=0 metal-insulator transition in two dimensions
• Analysis of Charge Order in the Kagome Metal $A$V${}_3$Sb${}_5$ ($A=$K,Rb,Cs)
• Nature of unconventional pairing in the kagome superconductors AV${}_3$Sb${}_5$
• Multiferroicity in an organic charge-transfer salt: Electric-dipole-driven magnetism
• A Quantum Monte Carlo algorithm for non-local corrections to the Dynamical Mean-Field Approximation
• High Tc Superconductors -- A Variational Theory of the Superconducting State
• Antiferromagnetically ordered Mott insulator and $d+id$ superconductivity in twisted bilayer graphene: A quantum Monte carlo study
• Pseudogap and Spin Fluctuations in the Normal State of Electron-Doped Cuprates
• Pressure Tuned Insulator to Metal Transition in Eu${}_2$Ir${}_2$O${}_7$
• Superconducting properties of sulfur-doped iron selenide
• Extended crossover from Fermi liquid to quasi-antiferromagnet in the half-filled 2D Hubbard model
• Signatures of Spin and Charge Energy Scales in the Local Moment and Specific Heat of the Two-Dimensional Hubbard Model
• Conducting phase in the two-dimensional disordered Hubbard model
• Stripes, Antiferromagnetism, and the Pseudogap in the Doped Hubbard Model at Finite Temperature
• Incoherent Cooper pairing and pseudogap behavior in single-layer FeSe/SrTiO${}_3$
• Quantum Monte Carlo Study of Pairing Symmetry and Correlation in Iron-based Superconductors
• Controllability of ferromagnetism in graphene
• Mott transition and heavy fermion state in the pyrochlore Hubbard model
• Geometrical frustration induced (semi-)metal to insulator transition
• Mean-field solution of the Hubbard model: the magnetic phase diagram
• Fluctuation-Driven Selection at Criticality in a Frustrated Magnetic System: the Case of Multiple-k Partial Order on the Pyrochlore Lattice
• Thermodynamics of the Antiferromagnetic Heisenberg Model on the Checkerboard Lattice
• Metal-to-Insulator Transition, Spin Gap Generation, and Charge Ordering in Geometrically Frustrated Electron Systems
• Interaction driven quantum phase transition in fractional quantum spin Hall effects
• Coexistence of strong nematic and superconducting correlations in a two-dimensional Hubbard model
• Spin-orbit fluctuations in frustrated heavy-fermion metal LiV${}_2$O${}_4$
• Mott Transition in the Hubbard Model on Checkerboard Lattice
• Spin excitation spectra of the two dimensional $S=1/2$ Heisenberg model with a checkerboard structure
• Flat-band Ferromagnetism of the SU$(N)$ Hubbard Model on the Tasaki Lattice
• Multiple Magnetization Plateaus and the Magnetic Structures in $S=1/2$ Heisenberg Model on the Checkerboard Lattice
• Systematic Analysis of Frustration Effects in Anisotropic Checkerboard Lattice Hubbard Model
• Mott-Hubbard transition and spin-liquid state on the pyrochlore lattice
• Numerical study of magnetization plateaux in the spin-1/2 Heisenberg antiferromagnet on the checkerboard lattice
• Flatband-Induced Itinerant Ferromagnetism in RbCo${}_2$Se${}_2$
• Thermodynamics of a gauge-frustrated Kitaev spin liquid
• Flat-band ferromagnetism and spin waves in the Haldane-Hubbard model
• Doping-dependent metal-insulator transition in a disordered Hubbard model
• Flat-band ferromagnetism in a correlated topological insulator on a honeycomb lattice

Cited by in corpus (5)

• A resonant valence bond spin liquid in the dilute limit of doped frustrated Mott insulators
• Breathing-Driven Metal-Insulator Transition in Correlated Kagome Systems
• Competition between $d$-wave and $d$+$is$-wave superconductivity in the Hubbard model on a checkerboard lattice
• Magnetic fluctuations near the Van Hove singularity in the kagome-lattice Hubbard model at finite doping
• Probing the Critical Behavior of a Sign-Problematic Model with Monte Carlo Simulations