As an intrinsically-unbiased approach, quantum Monte Carlo (QMC) is of vital importance in understanding correlated phases of matter. Unfortunately, it often suffers notorious sign problem when simulating interacting fermion models. Here, we show for the first time that there exist interacting fermion models whose sign problem becomes less severe for larger system sizes and eventually disappears in the thermodynamic limit, which we dub as "asymptotic sign free". We demonstrate asymptotically-free sign in determinant QMC for various interacting models. Moreover, based on renormalization-group-like ideas we propose a heuristic understanding of the feature of asymptotic sign free. We believe that asymptotic sign free behavior could shed new lights to deepening our understanding of sign problem. More importantly, it can provide a promising way to decipher intriguing physics in correlated models which were conventionally thought not accessible by QMC.

中文翻译：

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交互费米子模型中无渐近符号

作为一种本质上无偏的方法，量子蒙特卡罗（QMC）对于理解物质的相关相至关重要。不幸的是，它在模拟相互作用的费米子模型时经常遇到臭名昭著的符号问题。在这里，我们首次展示了存在相互作用的费米子模型，其符号问题对于较大的系统尺寸变得不那么严重，并最终在热力学极限中消失，我们称之为“无渐近符号”。我们展示了各种交互模型的行列式 QMC 中的渐近自由符号。此外，基于类似重整化群的想法，我们提出了对渐近符号自由特征的启发式理解。我们相信渐近无符号行为可以为加深我们对符号问题的理解提供新的思路。更重要的是，