2011年4月
Valley Spin Sum Rule for Dirac Fermions: Topological Argument
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
- 巻
- 80
- 号
- 4
- 記述言語
- 英語
- 掲載種別
- 機関テクニカルレポート,技術報告書,プレプリント等
- DOI
- 10.1143/JPSJ.80.043704
- 出版者・発行元
- PHYSICAL SOC JAPAN
We consider a two-dimensional lattice system with two sites in its unit cell. In such a system, the Bloch band spectrum can have some valley points, around which Dirac fermions appear as low-energy excitations. Each valley point has a valley spin +/- 1. In the system, there are two topological numbers counting vortices and merons in the Brillouin zone, respectively. These numbers are equivalent, and this fact leads to a sum rule that states that the total sum of the valley spins is absent even in a system without time-reversal and parity symmetries. We can see some similarity between the valley spin and chirality in the Nielsen-Ninomiya no-go theorem in odd-spatial dimensions.
- リンク情報
- ID情報
-
- DOI : 10.1143/JPSJ.80.043704
- ISSN : 0031-9015
- arXiv ID : arXiv:1010.0071
- Web of Science ID : WOS:000289346600006