Diverse Quantization Phenomena in Layered Materials最新文献

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Theoretical Models 理论模型

Diverse Quantization Phenomena in Layered Materials Pub Date : 2019-12-06 DOI: 10.1201/9781003004981-3

Jhao-Ying Wu, Chiun-Yan Lin, T. Do, P. Shih, Shih‐Yang Lin, C. Ho, Ming-Fa Lin

引用次数: 0

Concluding Remarks 结束语

Diverse Quantization Phenomena in Layered Materials Pub Date : 2019-12-06 DOI: 10.1201/9781003004981-12

Shih‐Yang Lin, T. Do, Chiun-Yan Lin, Jhao-Ying Wu, P. Shih, C. Ho, Ming-Fa Lin

引用次数: 0

Topological Characterization of Landau Levels for 2D Massless Dirac Fermions in 3D Layered Systems 三维层状系统中二维无质量狄拉克费米子朗道能级的拓扑表征

Diverse Quantization Phenomena in Layered Materials Pub Date : 2019-07-12 DOI: 10.1201/9781003004981-11

C. Ho, Jhao-Ying Wu, Chiun-Yan Lin, T. Do, P. Shih, Shih‐Yang Lin, Ming-Fa Lin

{"title":"Topological Characterization of Landau Levels for 2D Massless Dirac Fermions in 3D Layered Systems","authors":"C. Ho, Jhao-Ying Wu, Chiun-Yan Lin, T. Do, P. Shih, Shih‐Yang Lin, Ming-Fa Lin","doi":"10.1201/9781003004981-11","DOIUrl":"https://doi.org/10.1201/9781003004981-11","url":null,"abstract":"A topological concern is addressed in view of the extensively and intensively studied topological phases of condensed matter. In this realm, the phases with topological order cannot be characterized by symmetry alone. Moreover, the relevant phase transitions do occur without spontaneous symmetry breaking, beyond the scope of Landau's theory. The first realization of such phases is the discovery of the integer quantum Hall effect (QHE), which was followed soon by a topological interpretation. Later on, a distinct, half-integer QHE was also found from graphene, which has almost spin degeneracy described by $SU(2)$ symmetry. The previous theoretical predictions were realized in this finding. It has been well understood that the anomaly of this half-integer QHE originates from the presence of $2$D massless Dirac fermions around the zero energy with respect to the original Dirac points (DPs). The very characteristic lies in that there exists a topologically robust zero-mode LL that is a constant function of the perpendicular magnetic field. More deeply, this zero-mode LL is protected by the local chiral symmetry (CS), against CS preserving perturbations provided that intervalley scattering between the double DPs is inhibited, where the CS arises from the global sublattice symmetry in spinless graphene. Since massless Dirac particles are broadly present in condensed matter with various symmetries, not to mention Dirac bosonic systems, it is of interest to see how about the situations in other systems with $2$D massless Dirac fermions. We address several notes in a topological viewpoint on the presence of $2$D massless Dirac fermions in $3$D layered systems.In particular, we focus on the zero-mode LL since this LL signifies $2$D massless Dirac fermions.","PeriodicalId":194121,"journal":{"name":"Diverse Quantization Phenomena in Layered Materials","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130835247","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