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Quantum phase transition and unusual critical behavior in multi-Weyl semimetals
Wang, Jing-Rong1; Liu, Guo-Zhu2; Zhang, Chang-Jin1,3
2017-10-24
Source PublicationPHYSICAL REVIEW B
Volume96Issue:16Pages:1-22
AbstractThe low-energy behaviors of gapless double- and triple-Weyl fermions caused by the interplay of long-range Coulomb interaction and quenched disorder are studied by performing a renormalization group analysis. It is found that an arbitrarily weak disorder drives the double-Weyl semimetal to undergo a quantum phase transition into a compressible diffusive metal, independent of the disorder type and the Coulomb interaction strength. In contrast, the nature of the ground state of triple-Weyl fermion system relies sensitively on the specific disorder type in the noninteracting limit: The system is turned into a compressible diffusive metal state by an arbitrarily weak random scalar potential or z component of random vector potential but exhibits stable critical behavior when there is only an x or y component of random vector potential. In case the triple-Weyl fermions couple to random scalar potential, the system becomes a diffusive metal in the weak interaction regime but remains a semimetal if Coulomb interaction is sufficiently strong. Interplay of Coulomb interaction and x, or y, component of random vector potential leads to a stable infrared fixed point that is likely to be characterized by critical behavior. When Coulomb interaction coexists with the z component of random vector potential, the system flows to the interaction-dominated strong coupling regime, which might drive a Mott insulating transition. It is thus clear that double-and triple-Weyl fermions exhibit distinct low-energy behavior in response to interaction and disorder. The physical explanation of such distinction is discussed in detail. The role played by long-range Coulomb impurity in triple-Weyl semimetal is also considered. The main conclusion is that Coulomb impurity always drives the system to become a compressible diffusive metal, whereas Coulomb interaction tends to suppress the Coulomb impurity, rendering the robustness of the semimetal phase.
SubtypeArticle
WOS HeadingsScience & Technology ; Physical Sciences
Funding OrganizationMinistry of Science and Technology of China(2016YFA0300404 ; National Natural Science Foundation of China(11574285 ; Natural Science Foundation of Anhui Province(1608085MA19) ; 2017YFA0403600) ; 11504379 ; 11674327 ; U1532267) ; Ministry of Science and Technology of China(2016YFA0300404 ; National Natural Science Foundation of China(11574285 ; Natural Science Foundation of Anhui Province(1608085MA19) ; 2017YFA0403600) ; 11504379 ; 11674327 ; U1532267)
DOI10.1103/PhysRevB.96.165142
WOS Keyword2-DIMENSIONAL ELECTRON-SYSTEMS ; RENORMALIZATION-GROUP APPROACH ; METAL-INSULATOR-TRANSITION ; D-WAVE SUPERCONDUCTORS ; HALL CRITICAL-POINTS ; FERMION SEMIMETAL ; STATES ; TRANSPORT ; GRAPHENE ; COLLOQUIUM
Indexed BySCI
Language英语
Funding OrganizationMinistry of Science and Technology of China(2016YFA0300404 ; National Natural Science Foundation of China(11574285 ; Natural Science Foundation of Anhui Province(1608085MA19) ; 2017YFA0403600) ; 11504379 ; 11674327 ; U1532267) ; Ministry of Science and Technology of China(2016YFA0300404 ; National Natural Science Foundation of China(11574285 ; Natural Science Foundation of Anhui Province(1608085MA19) ; 2017YFA0403600) ; 11504379 ; 11674327 ; U1532267)
WOS Research AreaPhysics
WOS SubjectPhysics, Condensed Matter
WOS IDWOS:000413510900002
Citation statistics
Cited Times:5[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.hfcas.ac.cn:8080/handle/334002/33816
Collection中科院强磁场科学中心
Affiliation1.Chinese Acad Sci, High Field Magnet Lab, Anhui Prov Key Lab Condensed Matter Phys Extreme, Hefei 230031, Anhui, Peoples R China
2.Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China
3.Nanjing Univ, Collaborat Innovat Ctr Adv Microstruct, Nanjing 210093, Jiangsu, Peoples R China
Recommended Citation
GB/T 7714
Wang, Jing-Rong,Liu, Guo-Zhu,Zhang, Chang-Jin. Quantum phase transition and unusual critical behavior in multi-Weyl semimetals[J]. PHYSICAL REVIEW B,2017,96(16):1-22.
APA Wang, Jing-Rong,Liu, Guo-Zhu,&Zhang, Chang-Jin.(2017).Quantum phase transition and unusual critical behavior in multi-Weyl semimetals.PHYSICAL REVIEW B,96(16),1-22.
MLA Wang, Jing-Rong,et al."Quantum phase transition and unusual critical behavior in multi-Weyl semimetals".PHYSICAL REVIEW B 96.16(2017):1-22.
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