摘要
One could tune a topological double-Weyl semimetal or a topological triple-Weyl semimetal to become a topologically trivial insulator by opening a band gap.This kind of quantum phase transition is characterized by the change of certain topological invariant.A new gapless semimetallic state emerges at each topological quantum critical point.Here we perform a renormalization group analysis to investigate the stability of such critical points against perturbations induced by random scalar potential and random vector potential.We find that the quantum critical point between double-Weyl semimetal and band insulator is unstable and can be easily turned into a compressible diffusive metal by any type of weak disorder.The quantum critical point between triple-Weyl semimetal and band insulator flows to a stable strong-coupling fixed point if the system contains a random vector potential merely along the z-axis,but becomes a compressible diffusive metal when other types of disorders exist.
作者
杨兆昆
王景荣
刘国柱
Zhao-Kun Yang;Jing-Rong Wang;Guo-Zhu Liu(Department of Modern Physics,University of Science and Technology of China,Hefei 230026,China;High Magnetic Field Laboratory of Anhui Province,Chinese Academy of Sciences,Hefei 230031,China)
基金
the Natural Science Foundation of Anhui Province,China(Grant No.2208085MA11)
the National Natural Science Foundation of China(Grants Nos.11974356,12274414,and U1832209)。
