Open AccessRealizing topological corner states in two-dimensional Su-Schrieffer-Heeger model with next-nearest neighbor couplings
Author(s) -
Polina A. Ivanova,
Nikita A. Olekhno,
Valerii I. Kachin,
Dmitry V. Zhirihin,
Pavel S. Seregin,
Maxim A. Gorlach
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1695/1/012142
Subject(s) - k nearest neighbors algorithm , realization (probability) , physics , coupling (piping) , quantum tunnelling , microwave , topology (electrical circuits) , resonator , quantum mechanics , optoelectronics , materials science , mathematics , computer science , statistics , combinatorics , artificial intelligence , metallurgy
In the present work, we consider a two-dimensional Su-Schrieffer-Heeger model with alternating positive tunneling couplings between the neighboring sites. We show that introducing next-nearest neighbor couplings results in the emergence of topological corner states for some values of the corresponding tunneling coupling. Our work resolves the contradiction that arose when such corner states absent in the original two-dimensional Su-Schrieffer-Heeger model were observed experimentally in its photonic realization based on the array of cylindrical microwave resonators.