二维BCS模型的单极富集基态
Monopole-Enriched Groundstates of Two-Dimensional BCS Models
摘要：
我们提取的宏观特征的二维玻色凝聚BCS模型的基态部门与一个固定数量的磁通量量子，长度尺度远大于库珀对束缚态的特征尺寸。我们表明，这减少到的模空间的规范不等价的解决方案的Gross-Pitaevskii方程的非平凡纤维丛的计算问题。受Oshikawa和Senthil在Fractionalization，Topological Order和Quasiparticle Statistics中的物理参数的启发，我们从这个模空间中提取了一大类基态。
英文摘要：
We extract the macroscopic characteristics of the groundstate sectors of two dimensional Bose-condensed BCS models with a fixed number of magnetic flux quanta, on length scales much larger than the characteristic size of the Cooper-pair bound states. We show that this reduces to the problem of computing the moduli space of gauge-inequivalent solutions to the Gross-Pitaevskii equations on a nontrivial fibre bundle. Inspired in part by the physical arguments of Oshikawa and Senthil in Fractionalization, Topological Order, and Quasiparticle Statistics, we extract a large class of groundstates from this moduli space.
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