Topological properties of tetratomic Su–Schrieffer–Heeger chains with hierarchical long-range hopping

We propose a new generalized Su–Schrieffer–Heeger model with hierarchical long-range hopping based on a one-dimensional tetratomic chain. The properties of the topological states and phase transition, which depend on the cointeraction of the intracell and intercell hoppings, are investigated using t...

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Bibliographic Details
Published inChinese physics B Vol. 32; no. 7; pp. 77102 - 538
Main Authors Li, Guan-Qiang, Wang, Bo-Han, Tang, Jing-Yu, Peng, Ping, Dong, Liang-Wei
Format Journal Article
LanguageEnglish
Published Chinese Physical Society and IOP Publishing Ltd 01.06.2023
Department of Physics and Institute of Theoretical Physics,Shaanxi University of Science and Technology,Xi'an 710021,China
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Summary:We propose a new generalized Su–Schrieffer–Heeger model with hierarchical long-range hopping based on a one-dimensional tetratomic chain. The properties of the topological states and phase transition, which depend on the cointeraction of the intracell and intercell hoppings, are investigated using the phase diagram of the winding number. It is shown that topological states with large positive/negative winding numbers can readily be generated in this system. The properties of the topological states can be verified by the ring-type structures in the trajectory diagram of the complex plane. The topological phase transition is strongly related to the opening (closure) of an energy bandgap at the center (boundaries) of the Brillouin zone. Finally, the non-zero-energy edge states at the ends of the finite system are revealed and matched with the bulk–boundary correspondence.
ISSN:1674-1056
DOI:10.1088/1674-1056/aca7ef