Project Duration:
December, 2015- December,2016
Project Significance:
By this finite size scaling theory and Green's function technique, We can locate the critical transition point clearly, which can give us better understanding of the properties of the Weyl semimetal under the effectof disorder and also instruction for experiments.
Results Achieved:
Now we have primarily locate the metal-insulator transition, but we need more data to confirm. If this project finished, we hope to publish on a journal(e.g. PRB). There are some recent related work done in this field as follows:
1,K. Ziegler, Quantum transport in 3D Weyl semimetals:Is there a metal-insulator transition? Arxiv 1501. 00268.
2, S. Das Sarma etc. Anderson localization and the quantum phase diagram of three dimensional Dirac semimetal, Phys. Rev. Lett. 115, 076601 (2015)
3, Soumya Bera, Jay D. Sau and Bitan Roy. Dirty Weyl semimetals: stability, phase transition and quantum criticality.arXiv:1507.07551.
4, Hassan Shapourian and Taylor L. Hughes. Phase diagrams of disordered Weyl semimetals
arXiv:1509.02933.
These related paper focus on the Dirac semimetal and the Weyl semimetal that breaks the time reversal symmetry. Here we care the disorder effect on the surface states of the time reversal invariant Weyl semimetal.
