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Quantum Monte Carlo study of the attractive kagome-lattice Hubbard model

2022/12/14 by Xingchuan Zhu, Wanpeng Han, Zhu, Xingchuan +5 · 1 citation
Chemical Engineering · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Catalysis and Oxidation Reactions #Charge density wave #Condensed matter physics #FOS: Physical sciences #Hubbard model #Lattice (music) #Mathematics #Monte Carlo method #Phase (matter) #Phase diagram #Physics #Quantum #Quantum Monte Carlo #Quantum mechanics #Statistical physics #Statistics #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity #Topological Materials and Phenomena

paper · pdf · doi:10.48550/arxiv.2212.07150

openalex publication_date 2022/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Recent experimental discovery of several families of kagome-lattice materials has boosted the interest in electronic correlations on kagome lattice. As an initial step to understand the observed complex phenomena, it is helpful to know the correspondence between simple forms of interactions and the induced correlated states on kagome lattice. Considering the lack of such studies, here we systematically investigate the attractive kagome-lattice Hubbard model using the mean-field approach and determinant quantum Monte Carlo (DQMC). A charge-density-wave order satisfying the triangle rule is predicted by the mean-field treatment, and subsequent DQMC simulations provide indirect evidence for its existence. The s-wave superconductivity is found to be stabilized at low temperatures, and exists in dome regions of the phase diagrams. We then determine the superconducting critical temperature quantitatively by finite-size scaling of the pair structure factor. These results may be helpful in understanding the observed superconductivity in kagome-lattice materials.

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