论文标题
骨器平坦式哈伯德模型中的局部对形成
Localised pair formation in bosonic flat-band Hubbard models
论文作者
论文摘要
使用Gershgorin圆定理的广义版本，在关键填充上方的宽类线图的最低状态的能量上进行了严格的边界，该界限是针对硬核的波索克系统的。还建立了朝着下一个最低状态的能量鸿沟上的下边界。此外，还表明，相应的本征态由包含紧凑型局部对的状态跨越的子空间跨越，并且也得出了重叠的下边界。总体而言，这强烈表明局部对形成在宽类图形的基础状态下，并严格地证明了它的某些图形，包括不均匀的Chequerboard链，以及两个常规的二维图的新示例。
Using a generalised version of Gershgorin's circle theorem, rigorous boundaries on the energies of the lowest states of a broad class of line graphs above a critical filling are derived for hardcore bosonic systems. Also a lower boundary on the energy gap towards the next lowest states is established. Additionally, it is shown that the corresponding eigenstates are dominated by a subspace spanned by states containing a compactly localised pair and a lower boundary for the overlap is derived as well. Overall, this strongly suggests localised pair formationin the ground states of the broad class of line graphs and rigorously proves it for some of the graphs in it, including the inhomogeneous chequerboard chain as well as two novel examples of regular two dimensional graphs.
