论文标题
旋转的旋转式附着
Spin-flux attachment by dimensional reduction of vortices
论文作者
论文摘要
对双字段的涡流系统的描述为系统的新阶段提供了一个窗口。最近发现，将3+1-D玻色子特性系统对双重化导致通过非本地术语通过2形式场进行相互作用的费米和涡流系统。在这里，当系统的自由度仅限于2+1-D时空时，我们探讨了这种相互作用的一些后果。特别是，我们表明，2+1-D系统中的涡旋通过其非零自旋磁矩连接到费米子上，类似于Chern-Simons量规理论中通量附着的现象，与物质相结合。我们还表明，这种通量附着的颗粒像任何人一样表现出分数统计行为。因此，我们的模型提供了没有Chern-Simons理论的任何人的实现。
The description of a system of vortices in terms of dual fields provides a window to new phases of the system. It was found recently that dualizing a 3+1-d boson-fermion system leads to a system of fermions and vortices interacting via a 2-form field through a non-local term. Here we explore some consequences of such an interaction when the degrees of freedom of the system are confined to a 2+1-d space-time. In particular, we show that the vortices in the 2+1-d system are attached to the fermions via their non-zero spin magnetic moment in a way similar to the phenomenon of flux attachment in Chern-Simons gauge theory coupled to matter. We also show that such flux attached particles exhibit fractional statistical behaviour like anyons. Thus our model provides a realization of anyons without Chern-Simons theory.
