Chin. Phys. Lett.  2020, Vol. 37 Issue (11): 117201    DOI: 10.1088/0256-307X/37/11/117201
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
Universal Minimum Conductivity in Disordered Double-Weyl Semimetal
Zhen Ning1, Bo Fu2, Qinwei Shi3*, and Xiaoping Wang1,3*
1Department of Physics, University of Science and Technology of China, Hefei 230026, China
2Department of Physics, The University of Hong Kong, Pokfulam Road, Hong Kong, China
3Hefei 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
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Zhen Ning, Bo Fu, Qinwei Shi et al  2020 Chin. Phys. Lett. 37 117201
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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.
Received: 12 May 2020      Published: 08 November 2020
PACS:  72.80.Ng (Disordered solids)  
  72.10.-d (Theory of electronic transport; scattering mechanisms)  
  05.10.Cc (Renormalization group methods)  
Fund: Supported by the the National Natural Science Foundation of China (Grant No. 11874337).
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https://cpl.iphy.ac.cn/10.1088/0256-307X/37/11/117201       OR      https://cpl.iphy.ac.cn/Y2020/V37/I11/117201
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Zhen Ning
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