论文标题
Weyl半金属的费米·格贝
The Fermi gerbe of Weyl semimetals
论文作者
论文摘要
在GAP拓扑结构中，希尔伯特空间上的无限自动辅助弗雷姆操作员具有第三个同型组整数。我们在半线上使用狄拉克运算符家族明确意识到发电机，这在固态物理学中自然而然地产生。 “ Fermi Gerbe”几何编码基本光谱间隙之间的家族插值的离散光谱数据。它的非变化dixmier-douady不变性保护了插值的完整性，从而提供了Weyl Semimetal的费米表面的拓扑保护。
In the gap topology, the unbounded self-adjoint Fredholm operators on a Hilbert space have third homotopy group the integers. We realise the generator explicitly, using a family of Dirac operators on the half-line, which arises naturally in Weyl semimetals in solid-state physics. A "Fermi gerbe" geometrically encodes how discrete spectral data of the family interpolate between essential spectral gaps. Its non-vanishing Dixmier-Douady invariant protects the integrity of the interpolation, thereby providing topological protection of the Weyl semimetal's Fermi surface.
