Topological edge states of 1D chains and index theory

We provide an elementary proof and refinement of a well-known idea from physics: a chiral-symmetric local Hamiltonian on a half-space has the same signed number of edge-localized states with energies in the bulk bandgap as its bulk winding number. The requirement of non-elementary methods to relate...

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Veröffentlicht in:	Journal of mathematical physics 2023-06, Vol.64 (6)
1. Verfasser:	Thiang, Guo Chuan
Format:	Artikel
Sprache:	eng
Schlagworte:	Half spaces Physics
Online-Zugang:	Volltext
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