Tan Zhang The Nested Wilson-loop Method in Topological Material Calculation 6/19/2019

The Wilson-loop method is widely used in topological material calculation for the reason that it efficiently determines topological invariants and surface states. I will introduce the Wilson-loop method and its application in calculating various topological invariants and surface states. Recently, the nested Wilson-loop method has been proposed to extend the Wilson-loop method from 2 dimensions to 3 dimensions to reveal the higher-order topological properties. I will introduce the application of nested Wilson-loop method in calculating hinge state invariant in SnTe and the surface Dirac cone invariant in Ba3Cd2As4.

References:

  1. V. Berry Michael, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences 392, 45 (1984).
  2. R. D. King-Smith and D. Vanderbilt, Phys. Rev. B 47, 1651 (1993).
  3. A. Alexandradinata, X. Dai, and B. A. Bernevig, Phys. Rev. B 89, 155114 (2014).
  4. H. Weng, X. Dai, and Z Fang, MRS Bulletin 39, 849 (2014).
  5. W. A. Benalcazar, B. A. Bernevig, and T. L. Hughes, Science 357, 61 (2017).
  6. F. Schindler, A. M. Cook, M. G. Vergniory, Z. Wang, S. S. P. Parkin, B. A. Bernevig, and T. Neupert, Science Advances 4 (2018).
  7. T. Zhang, C. Yue, T. Zhang, S. Nie, Z. Wang, C. Fang, H. Weng and Z. Fang, arXiv:1905.07253.
附件：