Superconductivity in Luttinger semimetals near the SU(4) limit
| Autor: | Kheirkhah, Majid, Herbut, Igor F. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Rev. B 108, 224514 (2023) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.108.224514 |
| Popis: | We consider the spin-3/2 Luttinger fermions with contact attraction near the SU(4)-symmetric limit of vanishing Luttinger spin-orbit-coupling parameter responsible for band inversion, and at finite chemical potential. In the case of exact SU(4) symmetry the previously considered $s$-wave and five $d$-wave superconducting order parameters together form a six-dimensional irreducible representation which transforms as an antisymmetric tensor under SU(4). In this limit, we find the SU(4) [$\simeq$ SO(6)] symmetry to be spontaneously broken down to the SO(5) at the superconducting transition. When the SU(4) is reduced to the SO(3) by the weak band-inverting kinetic energy term, we show that at low temperatures the superconducting state is $is+d$, with a dominant $s$ and a small $d$ component, and spontaneously broken time-reversal symmetry. Relevance to superconductivity in doped semiconductors with diamond structure is discussed. Comment: 10 pages, 1 figure, 1 table |
| Databáze: | arXiv |
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