{"title":"The generalized Su–Schrieffer–Heeger double chains with the chiral and spatial inversion symmetries","authors":"Tao Du, Yuexun Li, Helin Lu, Hui Zhang","doi":"10.1016/j.physe.2025.116255","DOIUrl":null,"url":null,"abstract":"<div><div>The central object of this article is the generalized Su–Schrieffer–Heeger double chains with long-range couplings between chains and electron hoppings along the chain. The chiral symmetry and spatial inversion symmetry are applied to give the topologically non-trivial band structure and simplify the model respectively. The topological invariant and energy band of this model are given subsequently. Combining the energy band and topological invariant, we investigate the effects of long-range couplings and hoppings in detail and give the complete phase diagrams for these couplings and hoppings. A result that seemingly violates the bulk-edge correspondence is reported in this article.</div></div>","PeriodicalId":20181,"journal":{"name":"Physica E-low-dimensional Systems & Nanostructures","volume":"172 ","pages":"Article 116255"},"PeriodicalIF":2.9000,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica E-low-dimensional Systems & Nanostructures","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1386947725000840","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"NANOSCIENCE & NANOTECHNOLOGY","Score":null,"Total":0}
引用次数: 0
Abstract
The central object of this article is the generalized Su–Schrieffer–Heeger double chains with long-range couplings between chains and electron hoppings along the chain. The chiral symmetry and spatial inversion symmetry are applied to give the topologically non-trivial band structure and simplify the model respectively. The topological invariant and energy band of this model are given subsequently. Combining the energy band and topological invariant, we investigate the effects of long-range couplings and hoppings in detail and give the complete phase diagrams for these couplings and hoppings. A result that seemingly violates the bulk-edge correspondence is reported in this article.
期刊介绍:
Physica E: Low-dimensional systems and nanostructures contains papers and invited review articles on the fundamental and applied aspects of physics in low-dimensional electron systems, in semiconductor heterostructures, oxide interfaces, quantum wells and superlattices, quantum wires and dots, novel quantum states of matter such as topological insulators, and Weyl semimetals.
Both theoretical and experimental contributions are invited. Topics suitable for publication in this journal include spin related phenomena, optical and transport properties, many-body effects, integer and fractional quantum Hall effects, quantum spin Hall effect, single electron effects and devices, Majorana fermions, and other novel phenomena.
Keywords:
• topological insulators/superconductors, majorana fermions, Wyel semimetals;
• quantum and neuromorphic computing/quantum information physics and devices based on low dimensional systems;
• layered superconductivity, low dimensional systems with superconducting proximity effect;
• 2D materials such as transition metal dichalcogenides;
• oxide heterostructures including ZnO, SrTiO3 etc;
• carbon nanostructures (graphene, carbon nanotubes, diamond NV center, etc.)
• quantum wells and superlattices;
• quantum Hall effect, quantum spin Hall effect, quantum anomalous Hall effect;
• optical- and phonons-related phenomena;
• magnetic-semiconductor structures;
• charge/spin-, magnon-, skyrmion-, Cooper pair- and majorana fermion- transport and tunneling;
• ultra-fast nonlinear optical phenomena;
• novel devices and applications (such as high performance sensor, solar cell, etc);
• novel growth and fabrication techniques for nanostructures