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Conventional superconductivity in single-crystalline BiPt

Binary Bi-Pd/Pt systems have attracted a lot of interest because of their topologically nontrivial nature along with superconductivity. We report the structural and superconducting properties of high-quality single-crystalline BiPt using a comprehensive range of experimental techniques, including X-ray diffraction, electron microscopy, muon spin rotation/relaxation (𝜇⁢SR), magnetization, resistivity, and heat capacity. Our findings establish that BiPt is a weak type-II superconductor with a transition temperature (𝑇 𝑐 ) of 1.2 K which exhibits pronounced anisotropic superconducting characteristics attributed to its hexagonal crystal structure. Magnetization and electronic transport studies reveal that BiPt lies within the dirty limit, while 𝜇⁢SR and heat capacity data indicate conventional 𝑠-wave superconductivity that maintains time-reversal symmetry. Here, this work provides valuable insights into the pairing symmetry and superconducting mechanism of topologically trivial BiPt, a sound comparison system for other Bi-based topologically nontrivial superconductors.

Demagnetization↗

Materials Data on BiPd by Materials Project

PdBi crystallizes in the monoclinic P2_1 space group. The structure is three-dimensional. there are four inequivalent Pd sites. In the first Pd site, Pd is bonded in a 10-coordinate geometry to three Pd and seven Bi atoms. There are a spread of Pd–Pd bond distances ranging from 2.89–3.08 Å. There are a spread of Pd–Bi bond distances ranging from 2.89–3.34 Å. In the second Pd site, Pd is bonded in a 10-coordinate geometry to three Pd and seven Bi atoms. There are one shorter (2.89 Å) and one longer (2.92 Å) Pd–Pd bond lengths. There are a spread of Pd–Bi bond distances ranging from 2.92–3.12 Å. In the third Pd site, Pd is bonded in a 10-coordinate geometry to three Pd and seven Bi atoms. The Pd–Pd bond length is 3.13 Å. There are a spread of Pd–Bi bond distances ranging from 2.90–3.29 Å. In the fourth Pd site, Pd is bonded in a 10-coordinate geometry to three Pd and seven Bi atoms. There are a spread of Pd–Bi bond distances ranging from 2.92–3.12 Å. There are four inequivalent Bi sites. In the first Bi site, Bi is bonded in a 5-coordinate geometry to seven Pd atoms. In the second Bi site, Bi is bonded in a 7-coordinate geometry to seven Pd atoms. In the third Bi site, Bi is bonded in a 7-coordinate geometry to seven Pd atoms. In the fourth Bi site, Bi is bonded in a 7-coordinate geometry to seven Pd atoms.

36 MATERIALS SCIENCE↗

Materials Data on BiPd3 by Materials Project

Pd3Bi is beta Cu3Ti-like structured and crystallizes in the orthorhombic Pmma space group. The structure is three-dimensional. there are four inequivalent Pd sites. In the first Pd site, Pd is bonded to eight Pd and four Bi atoms to form PdBi4Pd8 cuboctahedra that share corners with twelve equivalent PdBi4Pd8 cuboctahedra, edges with eight BiPd12 cuboctahedra, edges with sixteen PdBi4Pd8 cuboctahedra, faces with four BiPd12 cuboctahedra, and faces with fourteen PdBi4Pd8 cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.88–3.00 Å. There are a spread of Pd–Bi bond distances ranging from 2.88–2.98 Å. In the second Pd site, Pd is bonded to eight Pd and four Bi atoms to form PdBi4Pd8 cuboctahedra that share corners with eight equivalent BiPd12 cuboctahedra, corners with ten PdBi4Pd8 cuboctahedra, edges with eighteen PdBi4Pd8 cuboctahedra, faces with six BiPd12 cuboctahedra, and faces with fourteen PdBi4Pd8 cuboctahedra. All Pd–Pd bond lengths are 2.94 Å. There are two shorter (2.93 Å) and two longer (2.97 Å) Pd–Bi bond lengths. In the third Pd site, Pd is bonded to eight Pd and four Bi atoms to form PdBi4Pd8 cuboctahedra that share corners with four equivalent PdBi4Pd8 cuboctahedra, corners with eight equivalent BiPd12 cuboctahedra, edges with twenty-four PdBi4Pd8 cuboctahedra, faces with six BiPd12 cuboctahedra, and faces with twelve PdBi4Pd8 cuboctahedra. All Pd–Pd bond lengths are 2.91 Å. There are two shorter (2.93 Å) and two longer (2.98 Å) Pd–Bi bond lengths. In the fourth Pd site, Pd is bonded to eight Pd and four Bi atoms to form PdBi4Pd8 cuboctahedra that share corners with four equivalent BiPd12 cuboctahedra, corners with fourteen PdBi4Pd8 cuboctahedra, edges with six BiPd12 cuboctahedra, edges with twelve PdBi4Pd8 cuboctahedra, faces with four BiPd12 cuboctahedra, and faces with sixteen PdBi4Pd8 cuboctahedra. There are one shorter (2.92 Å) and one longer (2.93 Å) Pd–Pd bond lengths. There are two shorter (2.91 Å) and two longer (2.94 Å) Pd–Bi bond lengths. There are two inequivalent Bi sites. In the first Bi site, Bi is bonded to twelve Pd atoms to form BiPd12 cuboctahedra that share corners with four equivalent BiPd12 cuboctahedra, corners with eight equivalent PdBi4Pd8 cuboctahedra, edges with eight BiPd12 cuboctahedra, edges with sixteen PdBi4Pd8 cuboctahedra, faces with four equivalent BiPd12 cuboctahedra, and faces with fourteen PdBi4Pd8 cuboctahedra. In the second Bi site, Bi is bonded to twelve Pd atoms to form BiPd12 cuboctahedra that share corners with two equivalent BiPd12 cuboctahedra, corners with sixteen PdBi4Pd8 cuboctahedra, edges with six BiPd12 cuboctahedra, edges with twelve PdBi4Pd8 cuboctahedra, faces with six BiPd12 cuboctahedra, and faces with fourteen PdBi4Pd8 cuboctahedra.

36 MATERIALS SCIENCE↗

Materials Data on Bi2Pd5 by Materials Project

Pd5Bi2 crystallizes in the monoclinic C2/m space group. The structure is three-dimensional. there are six inequivalent Pd sites. In the first Pd site, Pd is bonded to eight Pd and four Bi atoms to form a mixture of distorted corner, edge, and face-sharing PdBi4Pd8 cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.90–2.98 Å. There are a spread of Pd–Bi bond distances ranging from 2.85–2.96 Å. In the second Pd site, Pd is bonded to eight Pd and four Bi atoms to form a mixture of distorted corner, edge, and face-sharing PdBi4Pd8 cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.90–2.94 Å. There are a spread of Pd–Bi bond distances ranging from 2.85–2.96 Å. In the third Pd site, Pd is bonded to eight Pd and four Bi atoms to form a mixture of corner, edge, and face-sharing PdBi4Pd8 cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.91–2.97 Å. There are two shorter (2.89 Å) and two longer (2.90 Å) Pd–Bi bond lengths. In the fourth Pd site, Pd is bonded to eight Pd and four Bi atoms to form a mixture of corner, edge, and face-sharing PdBi4Pd8 cuboctahedra. There are a spread of Pd–Pd bond distances ranging from 2.91–2.93 Å. There are two shorter (2.89 Å) and two longer (2.90 Å) Pd–Bi bond lengths. In the fifth Pd site, Pd is bonded in a 4-coordinate geometry to six Pd and four Bi atoms. There are a spread of Pd–Bi bond distances ranging from 2.86–2.96 Å. In the sixth Pd site, Pd is bonded in a 11-coordinate geometry to six Pd and five Bi atoms. There are a spread of Pd–Bi bond distances ranging from 2.94–3.05 Å. There are two inequivalent Bi sites. In the first Bi site, Bi is bonded in a 10-coordinate geometry to ten Pd atoms. In the second Bi site, Bi is bonded in a distorted q6 geometry to eleven Pd atoms.

36 MATERIALS SCIENCE↗

Materials Data on BiPd by Materials Project

PdBi crystallizes in the orthorhombic Cmc2_1 space group. The structure is three-dimensional. there are three inequivalent Pd sites. In the first Pd site, Pd is bonded in a 10-coordinate geometry to three Pd and seven Bi atoms. There are two shorter (2.90 Å) and one longer (3.08 Å) Pd–Pd bond lengths. There are a spread of Pd–Bi bond distances ranging from 2.91–3.14 Å. In the second Pd site, Pd is bonded in a 10-coordinate geometry to three Pd and seven Bi atoms. Both Pd–Pd bond lengths are 2.89 Å. There are a spread of Pd–Bi bond distances ranging from 2.90–3.31 Å. In the third Pd site, Pd is bonded in a 9-coordinate geometry to two Pd and seven Bi atoms. There are a spread of Pd–Bi bond distances ranging from 2.94–3.05 Å. There are three inequivalent Bi sites. In the first Bi site, Bi is bonded in a 7-coordinate geometry to seven Pd atoms. In the second Bi site, Bi is bonded in a 7-coordinate geometry to seven Pd atoms. In the third Bi site, Bi is bonded in a 7-coordinate geometry to seven Pd atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi2Pd by Materials Project

PdBi2 crystallizes in the monoclinic C2/m space group. The structure is two-dimensional and consists of two PdBi2 sheets oriented in the (1, 0, 0) direction. Pd is bonded in a 9-coordinate geometry to two equivalent Pd and seven Bi atoms. Both Pd–Pd bond lengths are 2.89 Å. There are a spread of Pd–Bi bond distances ranging from 2.89–3.10 Å. There are two inequivalent Bi sites. In the first Bi site, Bi is bonded in a 4-coordinate geometry to four equivalent Pd atoms. In the second Bi site, Bi is bonded in a 3-coordinate geometry to three equivalent Pd atoms.

36 MATERIALS SCIENCE↗

Materials Data on Bi2Pd by Materials Project

PdBi2 crystallizes in the tetragonal I4/mmm space group. The structure is two-dimensional and consists of two PdBi2 sheets oriented in the (0, 0, 1) direction. Pd is bonded in a body-centered cubic geometry to eight equivalent Bi atoms. All Pd–Bi bond lengths are 3.00 Å. Bi is bonded in a 4-coordinate geometry to four equivalent Pd atoms.

36 MATERIALS SCIENCE↗

Materials Data on BiPd by Materials Project

PdBi crystallizes in the hexagonal P6_3/mmc space group. The structure is three-dimensional. Pd is bonded in a 8-coordinate geometry to two equivalent Pd and six equivalent Bi atoms. Both Pd–Pd bond lengths are 2.90 Å. All Pd–Bi bond lengths are 2.88 Å. Bi is bonded in a 6-coordinate geometry to six equivalent Pd atoms.

36 MATERIALS SCIENCE↗