Bound states at disclinations: an additive rule of real and reciprocal space topology

He, Qinghua, Sun, Jinhua, Deng, Hai-Yao ORCID: https://orcid.org/0000-0001-6065-483X, Wakabayashi, Katsunori and Liu, Feng 2023. Bound states at disclinations: an additive rule of real and reciprocal space topology. Frontiers in Physics 11 , 1213158. 10.3389/fphy.2023.1213158

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Abstract

Focusing on the two-dimensional (2D) Su-Schrieffer-Heeger (SSH) model, we propose an additive rule between the real-space topological invariant s of disclinations (related to the Burgers vector B) and the reciprocal-space topological invariant p of bulk wave functions (the vectored Zak phase). The disclination-induced bound states in the 2D SSH model appear only if (s + p/2π) is nonzero modulo the lattice constant. These disclination-bound states are robust against perturbations respecting C4 point group symmetry and other perturbations within an amplitude determined by p. Besides the disclination-bound states, the proposed additive rule also suggests that a half-bound state extends over only half of a sample and a hybrid-bound state, which always have a nonvanishing component of s + p/2π.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Physics and Astronomy
Publisher:	Frontiers Media
ISSN:	2296-424X
Date of First Compliant Deposit:	13 June 2023
Date of Acceptance:	30 May 2023
Last Modified:	11 Oct 2023 19:54
URI:	https://orca.cardiff.ac.uk/id/eprint/160357

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