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: | 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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