{"title":"The Josephson Junction","authors":"K. McDonald","doi":"10.1142/9789811209260_0001","DOIUrl":"https://doi.org/10.1142/9789811209260_0001","url":null,"abstract":"A Josephson junction is formed when two superconducting wires are separated by an insulating gap of capacitance C . The quantum states ψi, i = 1, 2 of the two wires can be characterized by the numbers ni of Cooper pairs (charge 2e) and the phases θi, such that ψi = √ ni e iθi (Ginzburg-Landau approximation). The (small) amplitude that a pair tunnel across a narrow insulating barrier is −EJ/n0, where n0 = n1 + n2 and EJ is the so-called Josephson energy. The interesting physics is expressed in terms of the differences n ≡ n2−n1 and φ ≡ θ2−θ1. Consider a junction where n1 ≈ n2 ≈ n0/2.","PeriodicalId":441663,"journal":{"name":"Magnetic Properties of Josephson Junction Networks","volume":"167 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132022048","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Superconducting Systems in the presence of a Magnetic Field","authors":"","doi":"10.1142/9789811209260_0002","DOIUrl":"https://doi.org/10.1142/9789811209260_0002","url":null,"abstract":"","PeriodicalId":441663,"journal":{"name":"Magnetic Properties of Josephson Junction Networks","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2020-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128912506","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}