2018年2月20日
Atiyah-Hirzebruch Spectral Sequence in Band Topology: General Formalism and Topological Invariants for 230 Space Groups
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We study the Atiyah-Hirzebruch spectral sequence (AHSS) for equivariant<br />
K-theory in the context of band theory. Various notions in the band theory such<br />
as irreducible representations at high-symmetric points, the compatibility<br />
relation, topological gapless and singular points naturally fits into the AHSS.<br />
As an application of the AHSS, we get the complete list of topological<br />
invariants for 230 space groups without time-reversal or particle-hole<br />
invariance. We find that a lot of torsion topological invariants appear even<br />
for symmorphic space groups.
K-theory in the context of band theory. Various notions in the band theory such<br />
as irreducible representations at high-symmetric points, the compatibility<br />
relation, topological gapless and singular points naturally fits into the AHSS.<br />
As an application of the AHSS, we get the complete list of topological<br />
invariants for 230 space groups without time-reversal or particle-hole<br />
invariance. We find that a lot of torsion topological invariants appear even<br />
for symmorphic space groups.
- ID情報
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- arXiv ID : arXiv:1802.06694