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- W4288055676 abstract "We design a novel formalism of determinant quantum Monte Carlo method for the half-filled Hubbard model with onsite Hubbard interaction $U$ and nearest neighbor density-density interaction $V$ on the square lattice. The formalism is free of sign problem for $|U|ge 4|V|$, and is achieved by introducing discrete auxiliary fields on the nearest-neighbor bonds alone. Using this formalism, we study the ground state phase diagram of the model systematically. Within the sign-problem free parameter space $|U|ge 4|V|$, we obtain antiferromagnetism for $Uge 4|V|>0$, charge density wave for $U<-4V$ and $V>0$, s-wave superconductivity for $U<0$ and small negative $V$, and phase separation for $U<0$ and a larger negative $V$. We also obtain the single particle gap and spin excitation spectra, and by comparison to mean field results, as well as available literatures, we discuss the possible phase boundary beyond the sign-problem free region. The unbiased numerically exact results can be taken as benchmarks in future studies. Finally, we discuss possible extension for longer-range interactions in the model." @default.
- W4288055676 created "2022-07-28" @default.
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- W4288055676 date "2022-07-23" @default.
- W4288055676 modified "2023-09-29" @default.
- W4288055676 title "Determinant quantum Monte Carlo for the half-filled Hubbard model with nonlocal density-density interactions" @default.
- W4288055676 doi "https://doi.org/10.48550/arxiv.2207.11555" @default.
- W4288055676 hasPublicationYear "2022" @default.
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