Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session U54: Topological Crystalline Phases
2:30 PM–4:54 PM,
Thursday, March 5, 2020
Room: Mile High Ballroom 2A
Sponsoring Unit: DCMP
Abstract: U54.00002 : Real Space Invariants: Spectral Flow of Fragile Topological State under Twisted Boundary Conditions
(University of the Basque Country)
the boundary condition of the system. We explicitly work out all the twisted boundary conditions that can detect all the 2D fragile phases implied by symmetry eigenvalues in all wallpaper groups. We develop the concept of real space invariants, which are local good quantum numbers in real space, and which also fully characterize the eigenvalue fragile phases. We show that the number of unavoidable level crossings under the twisted boundary condition is completely determined by the real space invariants. Possible realizations of the twisted boundary condition of the fragile band in metamaterial systems are also discussed.
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