Possible realization of topological crystalline superconductivity with time-reversal symmetry in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mi>UTe</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>
Jushin Tei, Takeshi Mizushima, Satoshi Fujimoto
Abstract
The recent measurement of the de Haas--van Alphen effect in the spin-triplet superconductor ${\mathrm{UTe}}_{2}$ [D. Aoki et al., J. Phys. Soc. Jpn. 91, 083704 (2022)] supports cylindrical electron and hole Fermi surfaces, which implies that ${\mathrm{UTe}}_{2}$ is trivial as a 3D time-reversal-invariant topological superconductor. Inspired by this observation, we investigate the possible realization of a topological crystalline superconductor protected by the crystalline symmetry of ${\mathrm{UTe}}_{2}$. We examine Majorana surface states protected by mirror and twofold rotational symmetries for all symmetry-allowed odd-parity pairing states with time-reversal symmetry and clarify the corresponding topological invariants. It is found that topological crystalline superconductivity can be realized for all irreducible representations of odd-parity pairing states of ${\mathrm{UTe}}_{2}$, even for cylindrical Fermi surfaces.