Universal Minimum Conductivity in Disordered Double-Weyl Semimetal
Zhen Ning1 , Bo Fu2 , Qinwei Shi3* , and Xiaoping Wang1,3*
1 Department of Physics, University of Science and Technology of China, Hefei 230026, China2 Department of Physics, The University of Hong Kong, Pokfulam Road, Hong Kong, China3 Hefei National Laboratory for Physical Sciences at the Microscale & Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China
Abstract ：We report an exact numerical study on disorder effect in double-Weyl semimetals, and compare exact numerical solutions for the quasiparticle behavior with the Born approximation and renormalization group results. It is revealed that the low-energy quasiparticle properties are renormalized by multiple-impurity scattering processes, leading to apparent power-law behavior of the self-energy. Therefore, the quasiparticle residue surrounding nodal points is considerably reduced and vanishes as $Z_{\rm E}\propto E^{r}$ with nonuniversal exponent $r$. We show that such unusual behavior of the quasiparticle leads to strong temperature dependence of diffusive conductivity. Remarkably, we also find a universal minimum conductivity along the direction of linear dispersion at the nodal point, which can be directly observed by experimentalist.
收稿日期: 2020-05-12
出版日期: 2020-11-08
:
72.80.Ng
(Disordered solids)
72.10.-d
(Theory of electronic transport; scattering mechanisms)
05.10.Cc
(Renormalization group methods)
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2020, Vol. 37 
