具有多个Majorana种的拓扑相的万花筒
Kaleidoscope of topological phases with multiple Majorana species
摘要：
自旋和非相互作用费米子的精确可解晶格模型提供了拓扑相的迷人例子，其中一些展示了拓扑量子计算提案中的局部马约拉纳费米子。陈不变量$ν$是这种相位的一个重要特征。在这里，我们看看基塔耶夫的蜂窝模型的正方形八边形变体。它映射到自旋配对费米子，并享有丰富的相图，具有明显的阿贝尔和非阿贝尔相位与$ν= 0,\pm1,\pm2,\pm3$和$ \pm4$。$ν=\pm1 $和$ν=\pm3$相都支持定域马约拉纳模，分别是伊辛和$SU(2)_2$任意子理论的例子。
英文摘要：
Exactly solvable lattice models for spins and non-interacting fermions provide fascinating examples of topological phases, some of them exhibiting the localized Majorana fermions that feature in proposals for topological quantum computing. The Chern invariant $ν$ is one important characterization of such phases. Here we look at the square-octagon variant of Kitaev's honeycomb model. It maps to spinful paired fermions and enjoys a rich phase diagram featuring distinct abelian and nonabelian phases with $ν= 0,\pm1,\pm2,\pm3$ and $ \pm4$. The $ν=\pm1 $ and $ν=\pm3$ phases all support localized Majorana modes and are examples of Ising and $SU(2)_2$ anyon theories respectively.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
