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Phase transition with trivial quantum criticality in an anisotropic Weyl semimetal
Li, Xin1; Wang, Jing-Rong2; Liu, Guo-Zhu1
2018-05-17
Source PublicationPHYSICAL REVIEW B
ISSN2469-9950
Volume97Issue:18Pages:12
Corresponding AuthorLiu, Guo-Zhu(gzliu@ustc.edu.cn)
AbstractWhen a metal undergoes continuous quantum phase transition, the correlation length diverges at the critical point and the quantum fluctuation of order parameter behaves as a gapless bosonic mode. Generically, the coupling of this boson to fermions induces a variety of unusual quantum critical phenomena, such as non-Fermi liquid behavior and various emergent symmetries. Here, we perform a renormalization group analysis of the semimetal-superconductor quantum criticality in a three-dimensional anisotropic Weyl semimetal. Surprisingly, distinct from previously studied quantum critical systems, the anomalous dimension of anisotropic Weyl fermions flows to zero very quickly with decreasing energy, and the quasiparticle residue takes a nonzero value. These results indicate that the quantum fluctuation of superconducting order parameter is irrelevant at low energies, and a simple mean-field calculation suffices to capture the essential physics of the superconducting transition. We thus obtain a phase transition that exhibits trivial quantum criticality, which is unique comparing to other invariably nontrivial quantum critical systems. Our theoretical prediction can be experimentally verified by measuring the fermion spectral function and specific heat.
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China)
DOI10.1103/PhysRevB.97.184508
WOS KeywordFERMI-LIQUID BEHAVIOR ; TOPOLOGICAL PHASE ; CUPRATE SUPERCONDUCTORS ; NORMAL-STATE ; SYSTEMS ; GRAPHENE
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11574285] ; National Natural Science Foundation of China[11504379] ; Natural Science Foundation of Anhui Province[1608085MA19] ; Fundamental Research Funds for the Central Universities (P. R. China)[WK2030040085]
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Natural Science Foundation of Anhui Province ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China) ; Fundamental Research Funds for the Central Universities (P. R. China)
WOS Research AreaPhysics
WOS SubjectPhysics, Condensed Matter
WOS IDWOS:000433008800002
PublisherAMER PHYSICAL SOC
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.hfcas.ac.cn:8080/handle/334002/37061
Collection中科院强磁场科学中心
Corresponding AuthorLiu, Guo-Zhu
Affiliation1.Univ Sci & Technol China, Dept Modern Phys, Hefei 230026, Anhui, Peoples R China
2.Chinese Acad Sci, Anhui Prov Key Lab Condensed Matter Phys Extreme, High Magnet Field Lab, Hefei 230031, Anhui, Peoples R China
Recommended Citation
GB/T 7714
Li, Xin,Wang, Jing-Rong,Liu, Guo-Zhu. Phase transition with trivial quantum criticality in an anisotropic Weyl semimetal[J]. PHYSICAL REVIEW B,2018,97(18):12.
APA Li, Xin,Wang, Jing-Rong,&Liu, Guo-Zhu.(2018).Phase transition with trivial quantum criticality in an anisotropic Weyl semimetal.PHYSICAL REVIEW B,97(18),12.
MLA Li, Xin,et al."Phase transition with trivial quantum criticality in an anisotropic Weyl semimetal".PHYSICAL REVIEW B 97.18(2018):12.
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