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.

6 pages, 6 figures

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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