Quantum critical points of j=3/2 Dirac electrons in antiperovskite topological crystalline insulators
We study the effect of the long-range Coulomb interaction in j=3/2 Dirac electrons in cubic crystals with the O[subscript h] symmetry, which serves as an effective model for antiperovskite topological crystalline insulators. The renormalization group analysis reveals three fixed points that are Lore...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/110545 https://orcid.org/0000-0002-4856-4177 https://orcid.org/0000-0002-8803-1017 |
| Summary: | We study the effect of the long-range Coulomb interaction in j=3/2 Dirac electrons in cubic crystals with the O[subscript h] symmetry, which serves as an effective model for antiperovskite topological crystalline insulators. The renormalization group analysis reveals three fixed points that are Lorentz invariant, rotationally invariant, and O[subscript h] invariant. Among them, the Lorentz- and O[subscript h]-invariant fixed points are stable in the low-energy limit, while the rotationally invariant fixed point is unstable. The existence of a stable O[subscript h]-invariant fixed point of Dirac fermions with finite velocity anisotropy presents an interesting counterexample to emergent Lorentz invariance in solids. |
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