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• W2786778280 abstract "Topological states may be protected by a lattice symmetry in a class of topological semi-metals. In three spatial dimensions, the Berry flux around gapless excitations in momentum space defines a chirality concretely, so a protecting symmetry may be referred to as a chiral symmetry. Prime examples include Dirac semi-metal (DSM) in a distorted spinel, BiZnSiO$_4$, protected by a mirror symmetry and DSM in Na$_3$Bi, protected by a rotational symmetry. In these states, topology and a chiral symmetry are intrinsically tied. In this work, we investigate characteristics interplay between a chiral symmetry order parameter and instantaneous long-range Coulomb interaction with the standard renormalization group method. We show that a topological transition associated with a chiral symmetry is stable under the presence of the Coulomb interaction and the electron velocity always becomes faster than one of a chiral symmetry order parameter. Thus, the transition {it must not} be relativistic, which implies a supersymmetry is intrinsically forbidden by the long-range Coulomb interaction. {Asymptotically exact} universal ratios of physical quantities such as energy gap ratio are obtained, and connections with experiments and recent theoretical proposals are also discussed." @default.
• W2786778280 created "2018-02-23" @default.
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• W2786778280 date "2018-06-04" @default.
• W2786778280 modified "2023-09-24" @default.
• W2786778280 title "Long-range Coulomb interaction effects on the topological phase transitions between semimetals and insulators" @default.
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• W2786778280 doi "https://doi.org/10.1103/physrevb.97.241101" @default.
• W2786778280 hasPublicationYear "2018" @default.
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