34 citations · 35 across the 3 of their papers we have counts for
5 papers · 1 filter
Consistent symmetry breaking and topological phases
Yuezhao Li, Guo Chuan Thiang
Operators invariant under a symmetry group are also invariant under any finite-index subgroup. The equivariant indices of such operators must be consistent under symmetry breaking.…
Topological Semimetals
Guo Chuan Thiang
We review the differential topology underlying the topological protection of energy band crossings in Weyl semimetals, and how they lead to the experimental signature of surface Fe…
Edge-following topological states
Guo Chuan Thiang
We prove that Chern insulators have topologically protected edge states which not only propagate unidirectionally along a straight line boundary, but also swerve around arbitrary-a…
Crystallographic bulk-edge correspondence: glide reflections and twisted mod 2 indices
Kiyonori Gomi, Guo Chuan Thiang
A 2-torsion topological phase exists for Hamiltonians symmetric under the wallpaper group with glide reflection symmetry, corresponding to the unorientable cycle of the Klein bottl…
Some attempts at proving the non-existence of a full set of mutually unbiased bases in dimension 6
Guo Chuan Thiang
Complete sets of mutually unbiased bases are only known to exist in prime-power dimensions. We will describe a few approaches to the problem proving the (non)-existence of four mut…