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Optical phonon dominated heat transport: A first-principles thermal conductivity study of BaSn 2

Acoustic phonons with long mean free paths have long been believed to control the lattice thermal conductivity κ L in solids dominantly. In this study, however, we demonstrate an optical phonon dominated κ L in BaSnS 2 . By solving the Peierls-Boltzmann transport equation, we predict a low diagonal lattice thermal conductivity κ L (D) of 0.34 W m -1 K -1 at 850 K, which is less than half the κ L (D) of SnS at the same temperature. Further calculations following the Allen-Feldman model suggest the additional off-diagonal lattice thermal conductivity κ L (OD) contributed by wavelike tunneling phonons. The κ L (OD) becomes pronounced at the high temperature ( 0.17 W m -1 K -1 at 850 K) and leads to a deviation of the temperature dependence of κ L from T -1 to T -0.76 , suggesting the potential lattice anharmonicity in BaSnS 2 . Further analyses indicate BaSnS 2 has over 68% of κ L contributed by optical phonons. We show this uncommon optical phonon dominated κ L is due to the relatively high group velocities of optical phonons in BaSnS 2 . The phonon mode visualization suggests these relatively high-velocity optical phonons correspond to the antiphase vibrations in BaSnS 2 monolayers, which is originated from the unique permutation of SnS 3 tetrahedra. Finally, by investigating the mode-resolved group velocity, relaxation time, and Grüneisen parameter, we attribute the intrinsic low κ L of BaSnS 2 to the soft lattice and the relatively high lattice anharmonicity induced by the Ba-S weak bonding and Sn(II) lone-pair electrons. Our study explicitly analyzes the microscopic mechanism of optical phonon dominated heat transport in BaSnS 2 and suggests it worthy of further experimental studies as an intrinsic low-κ L material.

75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND↗

Materials Data on BaS by Materials Project

BaS is Halite, Rock Salt structured and crystallizes in the cubic Fm-3m space group. The structure is three-dimensional. Ba2+ is bonded to six equivalent S2- atoms to form a mixture of edge and corner-sharing BaS6 octahedra. The corner-sharing octahedral tilt angles are 0°. All Ba–S bond lengths are 3.23 Å. S2- is bonded to six equivalent Ba2+ atoms to form a mixture of edge and corner-sharing SBa6 octahedra. The corner-sharing octahedral tilt angles are 0°.

36 MATERIALS SCIENCE↗

Materials Data on BaS3 by Materials Project

BaS3 is Barium trisulfide structured and crystallizes in the tetragonal P-42_1m space group. The structure is three-dimensional. Ba2+ is bonded to twelve S+0.67- atoms to form a mixture of distorted face and corner-sharing BaS12 cuboctahedra. There are a spread of Ba–S bond distances ranging from 3.26–3.60 Å. There are two inequivalent S+0.67- sites. In the first S+0.67- site, S+0.67- is bonded in a 5-coordinate geometry to four equivalent Ba2+ and one S+0.67- atom. The S–S bond length is 2.09 Å. In the second S+0.67- site, S+0.67- is bonded in a 2-coordinate geometry to four equivalent Ba2+ and two equivalent S+0.67- atoms.

36 MATERIALS SCIENCE↗

Materials Data on Ba2S3 by Materials Project

Ba2S3 crystallizes in the tetragonal I4_1md space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 9-coordinate geometry to nine S+1.33- atoms. There are a spread of Ba–S bond distances ranging from 3.13–3.38 Å. In the second Ba2+ site, Ba2+ is bonded in a 5-coordinate geometry to five S+1.33- atoms. There are a spread of Ba–S bond distances ranging from 3.15–3.23 Å. There are two inequivalent S+1.33- sites. In the first S+1.33- site, S+1.33- is bonded in a 5-coordinate geometry to four Ba2+ and one S+1.33- atom. The S–S bond length is 2.11 Å. In the second S+1.33- site, S+1.33- is bonded to six Ba2+ atoms to form a mixture of distorted edge and corner-sharing SBa6 pentagonal pyramids.

36 MATERIALS SCIENCE↗

Materials Data on BaS3 by Materials Project

BaS3 crystallizes in the orthorhombic P2_12_12 space group. The structure is three-dimensional. there are two inequivalent Ba2+ sites. In the first Ba2+ site, Ba2+ is bonded in a 8-coordinate geometry to ten S+0.67- atoms. There are a spread of Ba–S bond distances ranging from 3.23–3.41 Å. In the second Ba2+ site, Ba2+ is bonded in a body-centered cubic geometry to eight S+0.67- atoms. There are a spread of Ba–S bond distances ranging from 3.32–3.39 Å. There are three inequivalent S+0.67- sites. In the first S+0.67- site, S+0.67- is bonded in a 5-coordinate geometry to four Ba2+ and one S+0.67- atom. The S–S bond length is 2.10 Å. In the second S+0.67- site, S+0.67- is bonded in a 2-coordinate geometry to one Ba2+ and two S+0.67- atoms. The S–S bond length is 2.10 Å. In the third S+0.67- site, S+0.67- is bonded in a 5-coordinate geometry to four Ba2+ and one S+0.67- atom.

36 MATERIALS SCIENCE↗

Materials Data on BaS2 by Materials Project

BaS2 crystallizes in the monoclinic C2/c space group. The structure is three-dimensional. Ba2+ is bonded to eight equivalent S1- atoms to form a mixture of corner and edge-sharing BaS8 hexagonal bipyramids. There are a spread of Ba–S bond distances ranging from 3.18–3.29 Å. S1- is bonded in a 5-coordinate geometry to four equivalent Ba2+ and one S1- atom. The S–S bond length is 2.12 Å.

36 MATERIALS SCIENCE↗