Long-range Coulomb interaction effects on the topological phase transitions between semimetals and insulators

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Topological states may be protected by a lattice symmetry in a class of topological semimetals. In three spatial dimensions, the Berry flux around gapless excitations in momentum space concretely defines a chirality, so a protecting symmetry may be referred to as a chiral symmetry. Prime examples include a Dirac semimetal (DSM) in a distorted spinel, BiZnSiO4, protected by a mirror symmetry, and a DSM in Na3Bi, protected by a rotational symmetry. In these states, topology and chiral symmetry are intrinsically tied. In this Rapid Communication, the characteristic interplay between a chiral symmetry order parameter and an instantaneous long-range Coulomb interaction is investigated with the standard renormalization group method. We show that a topological transition associated with chiral symmetry is stable under the presence of a Coulomb interaction and the electron velocity always becomes faster than the one of a chiral symmetry order parameter. Thus, the transition must not be relativistic, which implies that supersymmetry is intrinsically forbidden by the long-range Coulomb interaction. Asymptotically exact universal ratios of physical quantities such as the energy gap ratio are obtained, and connections with experiments and recent theoretical proposals are also discussed.
Publisher
AMER PHYSICAL SOC
Issue Date
2018-06
Language
English
Article Type
Article
Citation

PHYSICAL REVIEW B, v.97, no.24, pp.241101

ISSN
2469-9950
DOI
10.1103/PhysRevB.97.241101
URI
http://hdl.handle.net/10203/242606
Appears in Collection
PH-Journal Papers(저널논문)
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