TY - JOUR
T1 - Comparative study of Weyl semimetal and topological/Chern insulators
T2 - Thin-film point of view
AU - Yoshimura, Yukinori
AU - Onishi, Wataru
AU - Kobayashi, Koji
AU - Ohtsuki, Tomi
AU - Imura, Ken Ichiro
N1 - Funding Information:
The authors acknowledge Y. Takane for useful comments on the manuscript. This work was supported by JSPS KAKENHI Grants No. JP15H03700, No. JP15K05131, No. JP24000013, and No. JP16J01981. Y.Y. is supported by Grant-in-Aid for JSPS Fellows and by Grant No. JP15J06436.
Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/12/12
Y1 - 2016/12/12
N2 - Regarding three-dimensional (3D) topological insulators and semimetals as a stack of constituent two-dimensional (2D) topological (or sometimes nontopological) systems is a useful viewpoint. Here, we perform a comparative study of the paradigmatic 3D topological phases: Weyl semimetal (WSM), strong and weak topological insulators (STI/WTI), and Chern insulator (CI). By calculating the Z and Z2 indices for the thin films of such 3D topological phases, we follow dimensional evolution of topological properties from 2D to 3D. It is shown that the counterparts of STI and WTI in the time-reversal symmetry broken CI system are, respectively, WSM and CI phases. The number ND of helical Dirac cones emergent on the surface of a topological insulator is shown to be identical to the number NW of the pairs of Weyl cones in the corresponding WSM phase: ND=NW. To test the robustness of this scenario against disorder, we have studied the transport property of disordered WSM thin films, taking into account both the bulk and surface contributions.
AB - Regarding three-dimensional (3D) topological insulators and semimetals as a stack of constituent two-dimensional (2D) topological (or sometimes nontopological) systems is a useful viewpoint. Here, we perform a comparative study of the paradigmatic 3D topological phases: Weyl semimetal (WSM), strong and weak topological insulators (STI/WTI), and Chern insulator (CI). By calculating the Z and Z2 indices for the thin films of such 3D topological phases, we follow dimensional evolution of topological properties from 2D to 3D. It is shown that the counterparts of STI and WTI in the time-reversal symmetry broken CI system are, respectively, WSM and CI phases. The number ND of helical Dirac cones emergent on the surface of a topological insulator is shown to be identical to the number NW of the pairs of Weyl cones in the corresponding WSM phase: ND=NW. To test the robustness of this scenario against disorder, we have studied the transport property of disordered WSM thin films, taking into account both the bulk and surface contributions.
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U2 - 10.1103/PhysRevB.94.235414
DO - 10.1103/PhysRevB.94.235414
M3 - Article
AN - SCOPUS:85006812933
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 23
M1 - 235414
ER -