拓扑绝缘体的“实”格贝和狄拉克锥
'Real' gerbes and Dirac cones of topological insulators
摘要：
一个占据欧氏半空间的时间反演不变拓扑绝缘体确定了一个“四元数”自伴Fredholm族。我们表明，这样一个家庭的离散谱数据的几何编码在一个非平凡的“真正的”gerbe。gerbe不变量，而不是简单的狄拉克点计数，精确地捕捉了边缘态如何以拓扑保护的方式完全填满体光谱间隙。
英文摘要：
A time-reversal invariant topological insulator occupying a Euclidean half-space determines a 'Quaternionic' self-adjoint Fredholm family. We show that the discrete spectrum data for such a family is geometrically encoded in a non-trivial 'Real' gerbe. The gerbe invariant, rather than a naïve counting of Dirac points, precisely captures how edge states completely fill up the bulk spectral gap in a topologically protected manner.
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。
