论文标题
与旋转链和无旋转费用配对与下一个最新的邻居相互作用
Pairing in spin chains and spinless fermions with next-nearest neighbour interactions
论文作者
论文摘要
我们研究了Fermions的一维晶格模型和自旋链的相图，其相互作用延伸至下一个最新的邻居范围。特别是，我们研究了在最接近邻居和下一新的邻居相互作用的情况下，具有显性配对物理学的区域的出现。我们的分析基于经典限制，琼脂化技术和大规模密度 - 矩阵重质化组数值模拟的分析计算。该相图在所有相关的填充方案中进行了研究，显示出非常丰富的相，包括Luttinger液体，相位分离，电荷密度波，键盘相，键盘相位以及带有配对颗粒的异国情调簇Luttinger液体。与最近的研究相关，我们显示了在Luttinger-Liquid和簇Luttinger液相之间具有中央电荷$ C = 3/2 $的几个紧急过渡线。这些结果可以使用高度可调的量子模拟器进行实验研究。
We investigate the phase diagrams of a one-dimensional lattice model of fermions and of a spin chain with interactions extending up to next-nearest neighbour range. In particular, we investigate the appearance of regions with dominant pairing physics in the presence of nearest-neighbour and next-nearest-neighbour interactions. Our analysis is based on analytical calculations in the classical limit, bosonization techniques and large-scale density-matrix renormalization group numerical simulations. The phase diagram, which is investigated in all relevant filling regimes, displays a remarkably rich collection of phases, including Luttinger liquids, phase separation, charge-density waves, bond-order phases, and exotic cluster Luttinger liquids with paired particles. In relation with recent studies, we show several emergent transition lines with a central charge $c = 3/2$ between the Luttinger-liquid and the cluster Luttinger liquid phases. These results could be experimentally investigated using highly-tunable quantum simulators.
