Possible topological phases of bulk magnetically doped Bi2Se3: turning a topological band insulator into the Weyl semimetal

Details Possible topological phases of bulk magnetically doped Bi2Se3: turning a topological band insulator into the Weyl semimetal Possible topological phases of bulk magnetically doped Bi2Se3: turning a topological band insulator into the Weyl semimetal

2011-10-10

arxiv.org/abs/1110.1939v1

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 2 figures

Scientific paper

We discuss the possibility of realizing Weyl semimetal phase in the magnetically doped band topological insulators. The magnetic mass in the system could be supplied by magnetic Cr- or Fe- doping. 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. Especially, in the Weyl semimetal phase, the bulk quantum anomalous hall effect can be realized. This gapless anomalous hall e?ect should be contrasted with the early study on the surface magnetically-doped topological insulators to realize quantized anomalous hall effect which is purely surface physics. We explicitly derive the low energy theory of Weyl points from the general Hamiltonian of topological insulators near the Dirac point, e.g. k*p theory near \Gamma point for Bi2Se3. We also make theoretical study of the fractional Weyl phase where three dimensional fractional quantum hall insulator and fractional topological insulator can be derived. In closing, we discuss the experimental situation for the Weyl semimetal phase by applying our result.

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