170 citations · 914 across the 41 of their papers we have counts for
5 papers · 1 filter
Topology of nonsymmorphic crystalline insulators and superconductors
Ken Shiozaki, Masatoshi Sato, Kiyonori Gomi
Topological classification in our previous paper [K. Shiozaki and M. Sato, Phys. Rev. B , 165114 (2014)] is extended to nonsymmorphic crystalline insulators and supercond…
Twists on the Torus Equivariant under the 2-Dimensional Crystallographic Point Groups
Kiyonori Gomi
A twist is a datum playing a role of a local system for topological -theory. In equivariant setting, twists are classified into four types according to how they are realized geo…
Chiral vector bundles
Giuseppe De Nittis, Kiyonori Gomi
This paper focuses on the study of a new category of vector bundles. The objects of this category, called chiral vector bundles, are pairs given by a complex vector bundle along wi…
Z2-topology in nonsymmorphic crystalline insulators: Mobius twist in surface states
Ken Shiozaki, Masatoshi Sato, Kiyonori Gomi
It has been known that an anti-unitary symmetry such as time-reversal or charge conjugation is needed to realize Z2 topological phases in non-interacting systems. Topological insul…
Differential geometric invariants for time-reversal symmetric Bloch-bundles: the "Real" case
Giuseppe De Nittis, Kiyonori Gomi
Topological quantum systems subjected to an even (resp. odd) time-reversal symmetry can be classified by looking at the related "Real" (resp. "Quaternionic") Bloch-bundles. If from…