论文标题
与三体相互作用的延长玻色 - 哈伯德模型中的新兴阶段
Emergent Phases in an Extended Bose-Hubbard Model with Three-body On-site Interaction
论文作者
论文摘要
我们研究了具有三体现场相互作用的扩展的玻色 - 哈伯德模型。我们使用精确的对角度方法和变分基质产物态算法,\ emph {alps mps-optim},我们计算和分析了能量电荷差距和有限的系统相关函数,以获得相位界限并确定模型的相相和相变。对于\ mbox {$ \ frac {v} {u} = 0.6 $}和\ mbox {$ \ frac {w} {w} {u} = 0 $},我们观察到\ mbox {$ρ= 1 $} lobe(for for haldane Insulator(hi)相位的haldane绝缘体(hi)阶段\ mbox {$ \ frac {v} {u} = 0.6 $}和\ mbox {$ \ frac {w} {u} = 1 $},我们观察到了\ mbox {$ρ= 1/2 $} curiper office dementy offerave(ss)阶段的出现。我们还注意到,将三体现场和最近的邻居相互作用包含在填充因子\ mbox {$ρ= 2 $}模型的相位图上的效果是稳定MI阶段的MI阶段,以使系统保持在MI相位的所有值$ \ \ frac {v} {v} $。
We study the Extended Bose-Hubbard Model with a three-body onsite interaction. Using an exact diagonalization method and a variational Matrix Product States algorithm, \emph{Alps mps-optim}, we compute and analyse the energy charge gap and finite system correlation functions to obtain the phase boundaries and determine the phases and phase transitions of the model. For \mbox{$\frac{V}{U} = 0.6$} and \mbox{$\frac{W}{U} = 0$}, we observed the emergence of the Haldane insulator (HI) phase at the tip of the \mbox{$ρ= 1$} charge density wave (CDW) lobe and for \mbox{$\frac{V}{U} = 0.6$} and \mbox{$\frac{W}{U} = 1$}, we observed the emergence of the supersolid (SS) phase at the tip of the \mbox{$ρ= 1/2$} charge density wave (CDW) lobe. We also noticed that the effect of the inclusion of both the three-body onsite and nearest neighbor interactions on the phase diagram of the model for filling factor \mbox{$ρ= 2$} is to stabilize the Mott insulator (MI) phase such that the system remains in the MI phase for all values of $\frac{V}{U}$.