有限密度下六角哈伯德模型的态密度近似
A density of states approach to the hexagonal Hubbard model at finite density
摘要：
我们应用线性对数松弛（LLR）方法，它将Wang-Landau算法推广到具有连续自由度的量子系统，蜂窝晶格上具有排斥相互作用的费米子哈伯德模型。我们计算了平均Hubbard场的广义态密度，并从这个结果中划分了两种重构方案来提取物理观测量。通过计算作为化学势的函数的粒子密度，我们评估LLR在处理该模型的符号问题中的效用，该符号问题产生于半填充。我们表明，暴力的相对优势，随着相互作用强度的增加而增加，并讨论未来可能的改进。
英文摘要：
We apply the Linear Logarithmic Relaxation (LLR) method, which generalizes the Wang-Landau algorithm to quantum systems with continuous degrees of freedom, to the fermionic Hubbard model with repulsive interactions on the honeycomb lattice. We compute the generalized density of states of the average Hubbard field and divise two reconstruction schemes to extract physical observables from this result. By computing the particle density as a function of chemical potential we assess the utility of LLR in dealing with the sign problem of this model, which arises away from half filling. We show that the relative advantage over brute-force reweighting grows as the interaction strength is increased and discuss possible future improvements.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
