Weyl semimetal and topological numbers
文献类型：期刊论文
| 作者 | Elbistan, Mahmut |
| 刊名 | INTERNATIONAL JOURNAL OF MODERN PHYSICS B
 |
| 出版日期 | 2017-11-20 |
| 卷号 | 31页码:23 |
| 关键词 | Weyl semimetal chiral fermions Berry potential Chern number |
| ISSN号 | 0217-9792 |
| DOI | 10.1142/S0217979217502216 |
| 英文摘要 | Generalized Dirac monopoles in momentum space are constructed in even d + 1 dimensions from the Weyl Hamiltonian in terms of Green's functions. In 3 + 1 dimensions, the (unit) charge of the monopole is equal to both the winding number and the Chern number, expressed as the integral of the Berry curvature. Based on the equivalence of the Chern and winding numbers, a chirally coupled and Lorentz invariant field theory action is studied for the Weyl semimetal phase. At the one loop order, the effective action yields both the chiral magnetic effect and the anomalous Hall effect. The Chern number appears as a coefficient in the conductivity, thus emphasizes the role of topology. The anomalous contribution of chiral fermions to transport phenomena is reflected as the gauge anomaly with the Pfaffian invariant (E . B). Relevance of monopoles and Chern numbers for the semiclassical chiral kinetic theory is also discussed. |
| WOS关键词 | MOMENTUM-SPACE TOPOLOGY ; CHIRAL FERMIONS ; TRANSPORT ; MODEL ; ELECTRODYNAMICS ; TRANSFORMATION ; MONOPOLES ; ANOMALIES ; HOMOTOPY ; GAUGE |
| 资助项目 | Major State Basic Research Development Program in China[2015CB856903] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000414809100009 |
| 出版者 | WORLD SCIENTIFIC PUBL CO PTE LTD |
| 资助机构 | Major State Basic Research Development Program in China |
| 源URL | [http://119.78.100.186/handle/113462/45932]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Elbistan, Mahmut |
| 作者单位 | Chinese Acad Sci, Inst Modern Phys, Lanzhou, Gansu, Peoples R China |
| 推荐引用方式 GB/T 7714 | Elbistan, Mahmut. Weyl semimetal and topological numbers[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS B,2017,31:23. |
| APA | Elbistan, Mahmut.(2017).Weyl semimetal and topological numbers.INTERNATIONAL JOURNAL OF MODERN PHYSICS B,31,23. |
| MLA | Elbistan, Mahmut."Weyl semimetal and topological numbers".INTERNATIONAL JOURNAL OF MODERN PHYSICS B 31(2017):23. |
入库方式： OAI收割
来源：近代物理研究所
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