Materials Today Physics 28 (2022) 100890
Available online 19 October 2022
2542-5293/© 2022 Elsevier Ltd. All rights reserved.
Role of alloying in the phonon and thermal transport of SnS–SnSe across the
phase transition
☆
Niuchang Ouyang
a
, Chen Wang
a
, Yue Chen
a, b, *
a
Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong SAR, China
b
HKU Zhejiang Institute of Research and Innovation, 1623 Dayuan Road, Lin An, 311305, China
A R T I C L E INFO
Keywords:
Phase transition
Alloying
Lattice thermal conductivity
Disordering
ABSTRACT
Atomic-level investigations of the underlying phonon and thermal transports of strongly anharmonic alloy-based
thermoelectric materials and their structural phase transitions are yet to be fully explored. Herein, we system-
atically investigate the anharmonic lattice dynamics and thermal transport of SnS
0.75
Se
0.25
using perturbation
theory up to quartic anharmonicity and molecular dynamics simulations with the first-principles-based machine-
learning potential. We find the non-monotonic temperature dependence of the phonon linewidths and fre-
quencies of the Γ
4
and Y
1
modes. This work demonstrates an apparent κ
L
reduction from SnS to SnS
0.75
Se
0.25,
mainly attributed to the enhanced scattering rates of the middle-frequency phonons and the decreased group
velocities of the high-frequency phonons. We also find that the effects of the quartic anharmonicity on the
thermal transport of SnS and SnS
0.75
Se
0.25
are significant, and the phonon coherence contributions are non-
negligible in describing the thermal transport. Moreover, we reveal a decrease of κ
L
in SnS
0.75
Se
0.25
by
randomizing Se atoms, which can be ascribed to an additional phonon scattering arising from sublattice mass
disorder.
1. Introduction
Atomic-level understanding of the thermal conduction in crystalline
materials with low lattice thermal conductivity κ
L
plays a vital role in
various science and technology fields, including thermal management
[1,2] and thermoelectricity [3,4]. In particular, a high figure of merit
(zT) value is achieved by reducing κ
L
for thermoelectric materials [5].
Although many experimental results [6–8] demonstrate that κ
L
can be
significantly reduced by alloying, the underlying thermal transport
mechanism is still not fully revealed due to the lack of suitable
phonon-based description. The validity of the phonon quasiparticle
picture adopted in the conventional phonon-gas model (PGM) is
controversial in complex alloying systems with a structural phase tran-
sition mainly due to the presence of lattice instabilities and high-order
anharmonicity. Recently, SnSe is considered as a promising thermo-
electric material [9–11] with zT ≈ 2.6 at 923 K due to its intrinsic low κ
L
.
Despite sharing similar chemical compositions, the binary chalcogenide
SnS, an analogue compound of SnSe, has only demonstrated zT ≈ 0.8 at
875 K [6] due to a relatively high κ
L
. SnS
0.91
Se
0.09
alloy was shown by
He et al. [6] to have a suppressed thermal conductivity, whereas, the
thermal transport mechanism of Se-alloyed SnS is yet to be fully inves-
tigated. Therefore, it is of great importance to study the Se-alloyed ef-
fects on the phonon properties of SnS to better understand thermal
transport. In addition, it is challenging to deal with the strong anhar-
monicity across the structural phase transition of Se-alloyed SnS within
the perturbative framework, which prevents the extraction of the
temperature-dependent phonon properties. Thus, a thorough investi-
gation of the temperature-dependent phonon spectra with a non-
perturbative treatment of the anharmonic effects is of great importance
to better understand the phonon transport of Se-alloyed SnS across the
phase transition.
In recent years, theoretical calculations have demonstrated that
temperature-dependent phonon frequency renormalization [12] and
high-order phonon scattering [13–15] play indispensable roles in κ
L
reduction for strongly anharmonic materials. Although the thermal
transport properties of SnS [16,17] have been calculated with the
perturbation theory (PT) up to the third order by solving the Boltzmann
transport equation (BTE) [18], the role of fourth-order anharmonicity in
suppressing κ
L
of SnS and Se-alloyed SnS is not yet ascertained. More-
over, besides the particle-like contributions, the coherence effects
☆
N.O. and C.W. contributed equally to this work.
* Corresponding author. Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong SAR, China.
E-mail address: yuechen@hku.hk (Y. Chen).
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Materials Today Physics
journal homepage: www.journals.elsevier.com/materials-today-physics
https://doi.org/10.1016/j.mtphys.2022.100890
Received 5 September 2022; Received in revised form 9 October 2022; Accepted 15 October 2022