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Fermi surfaces of the topological semimetal CaSn 3 probed through de Haas van Alphen oscillations

Abstract In the search of topological superconductors, nailing down the Fermiology of the normal state is as crucial a prerequisite as unraveling the superconducting pairing symmetry. In particular, the number of time-reversal-invariant momenta (TRIM) in the Brillouin zone enclosed by Fermi surfaces is closely linked to the topological class of time-reversal-invariant systems, and can experimentally be investigated. We report here a detailed study of de Haas van Alphen quantum oscillations in single crystals of the topological semimetal CaSn 3 with torque magnetometry in high magnetic fields up to 35 T. In conjunction with density functional theory based calculations, the observed quantum oscillations frequencies indicate that the Fermi surfaces of CaSn 3 enclose an odd number of TRIM, satisfying one of the proposed criteria to realize topological superconductivity. Nonzero Berry phases extracted from the magnetic oscillations also support the nontrivial topological nature of CaSn 3 .

Physics↗

Materials Data on CaSn(BO3)2 by Materials Project

CaSn(BO3)2 is Calcite-derived structured and crystallizes in the trigonal R-3 space group. The structure is three-dimensional. Ca2+ is bonded to six equivalent O2- atoms to form CaO6 octahedra that share corners with six equivalent SnO6 octahedra. The corner-sharing octahedral tilt angles are 58°. All Ca–O bond lengths are 2.40 Å. B3+ is bonded in a trigonal planar geometry to three equivalent O2- atoms. All B–O bond lengths are 1.39 Å. Sn4+ is bonded to six equivalent O2- atoms to form SnO6 octahedra that share corners with six equivalent CaO6 octahedra. The corner-sharing octahedral tilt angles are 58°. All Sn–O bond lengths are 2.09 Å. O2- is bonded in a distorted trigonal planar geometry to one Ca2+, one B3+, and one Sn4+ atom.

36 MATERIALS SCIENCE↗

Materials Data on CaSn by Materials Project

CaSn crystallizes in the orthorhombic Cmcm space group. The structure is three-dimensional. Ca is bonded in a 5-coordinate geometry to seven equivalent Sn atoms. There are a spread of Ca–Sn bond distances ranging from 3.25–3.51 Å. Sn is bonded in a 9-coordinate geometry to seven equivalent Ca and two equivalent Sn atoms. Both Sn–Sn bond lengths are 2.95 Å.

36 MATERIALS SCIENCE↗

Materials Data on CaSnS3 by Materials Project

CaSn(S)3 crystallizes in the monoclinic C2 space group. The structure is zero-dimensional and consists of four 7440-31-5 molecules, four calcium molecules, four hydrogen disulfide molecules, and four hydrogen sulfide molecules.

36 MATERIALS SCIENCE↗