{"title":"哈伯德模型中的So4对称性","authors":"C. Yang, Shoucheng Zhang","doi":"10.1142/S021797929100050X","DOIUrl":null,"url":null,"abstract":"For a simple Hubbard model, using a particle-particle pairing operator η and a particle-hole pairing operator ζ, it is shown that one can write down two commuting sets of angular momenta operators J and J′, both of which commute with the Hamiltonian. These considerations allow the introduction of quantum numbers j and j′, and lead to the fact that the system has SO4 = (SU2 × SU2)/Z2 symmetry. j is related to the existence of superconductivity for a state and j′ to its magnetic properties.","PeriodicalId":243836,"journal":{"name":"Topology and Physics","volume":"68 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1990-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"56","resultStr":"{\"title\":\"SO4 SYMMETRY IN A HUBBARD MODEL\",\"authors\":\"C. Yang, Shoucheng Zhang\",\"doi\":\"10.1142/S021797929100050X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For a simple Hubbard model, using a particle-particle pairing operator η and a particle-hole pairing operator ζ, it is shown that one can write down two commuting sets of angular momenta operators J and J′, both of which commute with the Hamiltonian. These considerations allow the introduction of quantum numbers j and j′, and lead to the fact that the system has SO4 = (SU2 × SU2)/Z2 symmetry. j is related to the existence of superconductivity for a state and j′ to its magnetic properties.\",\"PeriodicalId\":243836,\"journal\":{\"name\":\"Topology and Physics\",\"volume\":\"68 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"56\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topology and Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/S021797929100050X\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topology and Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/S021797929100050X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
For a simple Hubbard model, using a particle-particle pairing operator η and a particle-hole pairing operator ζ, it is shown that one can write down two commuting sets of angular momenta operators J and J′, both of which commute with the Hamiltonian. These considerations allow the introduction of quantum numbers j and j′, and lead to the fact that the system has SO4 = (SU2 × SU2)/Z2 symmetry. j is related to the existence of superconductivity for a state and j′ to its magnetic properties.
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