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arXiv 2609.25494cond-mat.str-el

掺杂SU(3)费米- Hubbard模型铁磁态中连续时间量子蒙特卡罗更新的效率

Efficiency of Continuous-Time Quantum Monte Carlo Updates in the Ferromagnetic State of the Doped SU(3) Fermi-Hubbard Model

Juntaro Fujii, Kazuki Yamamoto, Akihisa Koga

AI总结:

研究掺杂SU(3)费米- Hubbard模型铁磁态中连续时间量子蒙特卡罗更新的采样效率,发现双翻转更新在铁磁区最优,味置换更新在顺磁区最优,并阐明了差异根源。

AI中文摘要:

我们研究了掺杂SU(3)费米- Hubbard模型在动力学平均场理论框架下基于分段的连续时间杂化展开量子蒙特卡罗求解器中的采样效率。聚焦于低温强耦合区域,在该区域中,当空穴掺杂偏离三分之一填充时会出现铁磁态,我们比较了几种更新方案。在铁磁区域,将双翻转更新添加到基本局部更新中,可得到多数自旋味占据数的最小积分自相关时间;而在顺磁区域,添加味置换更新最为有效。我们通过分析被接受的更新所导致的特征性占据数变化,进一步阐明了这种差异的起源。

英文摘要:

We investigate the sampling efficiency in a segment-based continuous-time hybridization-expansion quantum Monte Carlo solver within dynamical mean-field theory for the doped SU(3) Fermi-Hubbard model. Focusing on the low-temperature and strong-coupling regime, where a ferromagnetic state appears upon hole doping away from one-third filling, we compare several update schemes. Adding the double-flip update to the basic local update yields the smallest integrated autocorrelation time of the majority-flavor occupation in the ferromagnetic regime, whereas adding the flavor-permutation update is the most effective in the paramagnetic regime. We further clarify the origin of this difference by analyzing the characteristic occupation changes caused by accepted updates.

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