Bulletin of the American Physical Society
APS March Meeting 2019
Volume 64, Number 2
Monday–Friday, March 4–8, 2019; Boston, Massachusetts
Session L04: Dirac/Weyl Semimetals -- Materials Prediction II
11:15 AM–2:15 PM,
Wednesday, March 6, 2019
BCEC
Room: 107C
Sponsoring
Unit:
DMP
Chair: Dmytro Pesin, University of Virginia
Abstract: L04.00007 : Level statistics of disordered Weyl semimetalsν*
12:51 PM–1:03 PM
Presenter:
Xiang Rong Wang
(Hong Kong University of Science and Technology)
Authors:
Xiang Rong Wang
(Hong Kong University of Science and Technology)
Chen Wang
(School of Electronic Science and Engineering, University of Electronic Science and Technology of China)
Peng Yan
(School of Electronic Science and Engineering, University of Electronic Science and Technology of China)
The level statistics and the fractal nature of electron wavefunction around
Weyl nodes of disordered Weyl semimetals are numerically investigated.
The nearest-neighbor level spacing follows a new universal distribution
originally proposed for the level statistics of critical states in the integer
quantum Hall systems or normal dirty metals (diffusive metals) at metal-to-insulator
transitions, instead of the Wigner-Dyson distribution for diffusive metals.
The wavefunction at a Weyl node occupies a fractal space of dimension 2.18,
in contrast to the extended states that spread over the whole space (D=3).
The finite size scaling of the inverse participation ratio (IPR) suggests that the
correlation length of wavefunctions at Weyl nodes (E=0) diverges as ξ∼|E|-ν
with ν=0.89. In the ergodic limit, the level number variance
around Weyl nodes increases linearly with the average level number N.
*
National Natural Science Foundation of China (Grants No.~11374249 and 11704061) and Hong Kong RGC (Grants No.~16301518 and
16300117). CW is supported by UESTC and the China Postdoctoral Science Foundation (Grants No.~2017M610595 and 2017T100684)
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