2011/10/10 by Gil Young Cho, Cho, Gil Young
Materials Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Graphene research and applications #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Strongly Correlated Electrons (cond-mat.str-el) #Topological Materials and Phenomena #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.1110.1939
6 pages, 2 figures, typos are corrected
openalex publication_date 2011/10/10 · arxiv created 2012/06/11 · arxiv updated 2012/06/12 · openalex created_date 2022/09/03 · openalex updated_date 2026/07/28
We discuss the possibility of realizing Weyl semimetal phase in the magnetically doped topological band insulators. When the magnetic moments are ferromagnetically polarized, we show that there are three phases in the system upon the competition between topological mass and magnetic mass: topological band insulator phase, Weyl semimetal phase, and trivial phase. We explicitly derive the low energy theory of Weyl points from the general continuum Hamiltonian of topological insulators near the Dirac point, e.g. \bf k ⋅ \bf p theory near Γ point for Bi2Se3. Furthermore, we introduce the microscopic tight-binding model on the diamond lattice to describe the magnetically doped topological insulator, and we found the Weyl semimetal phase. We also discuss the dimensional cross-over of the Weyl semimetal phase to the anomalous Hall effect. In closing, we discuss the experimental situation for the Weyl semimetal phase.