论文标题
在有限密度的六边形哈伯德模型的状态方法密度
A density of states approach to the hexagonal Hubbard model at finite density
论文作者
论文摘要
我们将线性对数松弛（LLR）方法应用于具有连续自由度的量子系统，该方法将Wang-Landau算法推广到Fermionic Hubbard模型上，并在蜂窝状lattice上具有排斥性相互作用。我们计算平均哈伯德场状态的普遍密度，并划分两个重建方案，以从此结果中提取物理可观察力。通过计算粒子密度是化学势的函数，我们评估了LLR在处理该模型的符号问题时的效用，该模型源于一半填充。我们表明，随着相互作用强度的提高并讨论未来可能的改善，相对于蛮力重新加权的相对优势会增长。
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.
