A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics最新文献

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Metric and curvature 度规和曲率
A. Pires
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引用次数: 0
Dirac equation and gauge fields 狄拉克方程和规范场
A. Pires
{"title":"Dirac equation and gauge fields","authors":"A. Pires","doi":"10.1088/2053-2571/aaec8fch5","DOIUrl":"https://doi.org/10.1088/2053-2571/aaec8fch5","url":null,"abstract":"","PeriodicalId":304311,"journal":{"name":"A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134634252","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}
引用次数: 0
Topology and vector spaces 拓扑和向量空间
A. Pires
{"title":"Topology and vector spaces","authors":"A. Pires","doi":"10.1088/2053-2571/aaec8fch2","DOIUrl":"https://doi.org/10.1088/2053-2571/aaec8fch2","url":null,"abstract":"","PeriodicalId":304311,"journal":{"name":"A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126167486","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}
引用次数: 0
Manifolds and fiber bundle 歧管和纤维束
A. Pires
{"title":"Manifolds and fiber bundle","authors":"A. Pires","doi":"10.1088/2053-2571/aaec8fch3","DOIUrl":"https://doi.org/10.1088/2053-2571/aaec8fch3","url":null,"abstract":"","PeriodicalId":304311,"journal":{"name":"A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128131523","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}
引用次数: 0
Berry connection and particle moving in a magnetic field 浆果连接和粒子在磁场中的运动
A. Pires
{"title":"Berry connection and particle moving in a magnetic field","authors":"A. Pires","doi":"10.1088/2053-2571/aaec8fch6","DOIUrl":"https://doi.org/10.1088/2053-2571/aaec8fch6","url":null,"abstract":"","PeriodicalId":304311,"journal":{"name":"A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125512087","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}
引用次数: 0
Quantum Hall effect 量子霍尔效应
T., Champel, S. Florens
{"title":"Quantum Hall effect","authors":"T., Champel, S. Florens","doi":"10.1088/2053-2571/aaec8fch7","DOIUrl":"https://doi.org/10.1088/2053-2571/aaec8fch7","url":null,"abstract":"In 1985 Klaus von Klitzing won the Nobel Prize Nobel prize awarded in the area of semiconductor physics was to Bardeen,Shocklcv and Brattain for invention of the transistor. Everyone knows how important transistors arc in all walks of life, but why is a quantised Hall effect significant? Over 100 years ago E.H. Hall discovered that when a magnetic field is applied perpendicular to the direction of a current flowing through a metal a voltage is developed in the third perpendicular direction. the edge of the sample by the magentic field. Equilibrium is achieved when the magnetic force is balanced by the electrostatic force from the build up of charge at the edge. This happens when EY = v$, .The Hall coefficient is defined as RB = EY /Bzis and since the current density isj, = vsJq , R, =l/Nq in the case of a single species of charge carrier. RH can thus be measured to find N the density of carriers in the material. Often this transverse voltage is measured at fixed current and the Hall resistance recorded, It can easily be seen that this Hall resistance increases linearly with magnetic field. In a two-dimensional metal or semiconductor the Hall effect is also observed, but at low temperatures a series of steps appear in the Hall resistance as a function of magnetic field instead of the monotonic increase. What is more, these steps occur at incredibly precise values of resistance which are the same no matter what sample is investigated. The resistance is quantised in units of h/e* divided by an integer. This is the QUANTUM HALL EFFECT.","PeriodicalId":304311,"journal":{"name":"A Brief Introduction to Topology and Differential Geometry in Condensed Matter Physics","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124939615","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}
引用次数: 0
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