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math-ph2016★ 46 cited
Topological invariants and corner states for Hamiltonians on a three-dimensional lattice
Shin Hayashi
Periodic Hamiltonians on a three-dimensional (3-D) lattice with a spectral gap not only on the bulk but also on two edges at the common Fermi level are considered. By using K-theor…
math-ph2016★ 11 cited
Bulk-edge correspondence and the cobordism invariance of the index
Shin Hayashi
We show that the bulk-edge correspondence for two-dimensional type A and type AII topological insulators follows directly from the cobordism invariance of the index.