A Z2 invariant for chiral and particle–hole symmetric topological chains.

Autor:	Monaco, Domenico, Peluso, Gabriele
Předmět:	BLOCH waves PARTICLE-hole model GEOMETRIC quantum phases TOPOLOGICAL insulators TOPOLOGICAL property MAJORANA fermions CHIRALITY of nuclear particles
Zdroj:	Journal of Mathematical Physics; Apr2023, Vol. 64 Issue 4, p1-21, 21p
Abstrakt:	We define a Z 2 -valued topological and gauge invariant associated with any one-dimensional, translation-invariant topological insulator that satisfies either particle–hole symmetry or chiral symmetry. The invariant can be computed from the Berry phase associated with a suitable basis of Bloch functions that is compatible with the symmetries. We compute the invariant in the Su–Schrieffer–Heeger model for chiral symmetric insulators and in the Kitaev model for particle–hole symmetric insulators. We show that in both cases, the Z 2 invariant predicts the existence of zero-energy boundary states for the corresponding truncated models. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu