16 citations · 21 across the 2 of their papers we have counts for
2 papers
math-ph2021★ 5 cited
Classification of topological invariants related to corner states
Shin Hayashi
We discuss some bulk-surfaces gapped Hamiltonians on a lattice with corners and propose a periodic table for topological invariants related to corner states aimed at studies of hig…
math-ph2019★ 16 cited
Toeplitz operators on concave corners and topologically protected corner states
Shin Hayashi
We consider Toeplitz operators defined on a concave corner-shaped subset of the square lattice. We obtain a necessary and sufficient condition for these operators to be Fredholm. W…