We study the behaviors of three-dimensional double and triple Weyl fermions in the presence of weak random potential.By performing the Wilsonian renormalization group(RG)analysis,we reveal that the quasiparticle exper...We study the behaviors of three-dimensional double and triple Weyl fermions in the presence of weak random potential.By performing the Wilsonian renormalization group(RG)analysis,we reveal that the quasiparticle experiences strong renormalization which leads to the modification of the density of states and quasiparticle residue.We further utilize the RG analysis to calculate the classical conductivity and show that the diffusive transport is substantially corrected due to the novel behavior of the quasiparticle and can be directly measured by experiments.展开更多
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 ...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 ZE∝Er with nonuniversal exponent.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.展开更多
基金Project supported by the National Natural Science Foundation of China(Grant No.11874337).
文摘We study the behaviors of three-dimensional double and triple Weyl fermions in the presence of weak random potential.By performing the Wilsonian renormalization group(RG)analysis,we reveal that the quasiparticle experiences strong renormalization which leads to the modification of the density of states and quasiparticle residue.We further utilize the RG analysis to calculate the classical conductivity and show that the diffusive transport is substantially corrected due to the novel behavior of the quasiparticle and can be directly measured by experiments.
基金Supported by the the National Natural Science Foundation of China(Grant No.11874337)。
文摘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 ZE∝Er with nonuniversal exponent.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.