{"title":"TAMM STATES AND GAP TOPOLOGICAL NUMBERS IN PHOTONIC CRYSTALS (INVITED PAPER)","authors":"Junhui Cao, A. Kavokin, A. Nalitov","doi":"10.2528/pier22011601","DOIUrl":null,"url":null,"abstract":"|We introduce the concept of gap Zak or Chern topological invariants for photonic crystals of various dimensionalities. Speci(cid:12)cally, we consider a case where Tamm states are formed at an interface of two semi-in(cid:12)nite Bragg mirrors and derive the formulism for gap Zak phases of two constituent Bragg mirrors. We demonstrate that gap topological numbers are instrumental in studies of interface states both in conventional and photonic crystals.","PeriodicalId":90705,"journal":{"name":"Progress in Electromagnetics Research Symposium : [proceedings]. Progress in Electromagnetics Research Symposium","volume":"11 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Progress in Electromagnetics Research Symposium : [proceedings]. Progress in Electromagnetics Research Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2528/pier22011601","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
|We introduce the concept of gap Zak or Chern topological invariants for photonic crystals of various dimensionalities. Speci(cid:12)cally, we consider a case where Tamm states are formed at an interface of two semi-in(cid:12)nite Bragg mirrors and derive the formulism for gap Zak phases of two constituent Bragg mirrors. We demonstrate that gap topological numbers are instrumental in studies of interface states both in conventional and photonic crystals.