Emergent Anisotropic Non-Fermi Liquid at a Topological Phase Transition in Three Dimensions

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Understanding correlation effects in topological phases and their transitions is a cutting-edge area of research in recent condensed matter physics. We study topological quantum phase transitions (TQPTs) between double-Weyl semimetals (DWSMs) and insulators, and argue that a novel class of quantum criticality appears at the TQPT characterized by emergent anisotropic non-Fermi-liquid behaviors, in which the interplay between the Coulomb interaction and electronic critical modes induces not only anisotropic renormalization of the Coulomb interaction but also strongly correlated electronic excitation in three spatial dimensions. Using the standard renormalization group methods, large N-f theory, and the epsilon = 4 - d method with a fermion flavor number N-f and spatial dimension d, we obtain the anomalous dimensions of electrons (eta(f) = 0.366/N-f) in large N-f theory and the associated anisotropic scaling relations of various physical observables. Our results may be observed in candidate materials for DWSMs such as HgCr2Se4 or SrSi2 when the system undergoes a TQPT.
Publisher
AMER PHYSICAL SOC
Issue Date
2019-05
Language
English
Article Type
Article
Citation

PHYSICAL REVIEW LETTERS, v.122, no.18, pp.187601

ISSN
0031-9007
DOI
10.1103/PhysRevLett.122.187601
URI
http://hdl.handle.net/10203/262448
Appears in Collection
PH-Journal Papers(저널논문)
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