Abstract:Using the phonon Boltzmann transport formalism and density functional theory based calculations, we show that stanene has a low thermal conductivity. For a sample size of 1×1 µm 2 (L × W ), the lattice thermal conductivities along the zigzag and armchair directions are 10.83 W/m-K and 9.2 W/m-K respectively, at room temperature, indicating anisotropy in the thermal transport. The low values of thermal conductivity are due to large anharmonicity in the crystal resulting in high Grüneisen parameters, and low gro… Show more
“…With the increase in temperature, the number of phonons increases. Consequently phononphonon scattering, specically Umklapp scattering 28,36,37 increases. Hence with the increase in temperature, HCACF prole decays to zero in a shorter time 38 resulting in the computation of decreasing thermal conductivity.…”
Section: Resultsmentioning
confidence: 99%
“…long wavelength phonons are the majority heat carriers in graphene 35 and stanene. 37 The localization of these heat carriers in the presence of vacancies reduces the thermal transport capability of the graphene/stanene heterobilayer structure. Moreover, strong inelastic scattering at around the vacancy centers as well as at a distance from the vacancy centers 38 causes an overall reduction in the thermal conductivity of the heterobilayer structure with vacancies.…”
In this study, we have performed equilibrium molecular dynamics simulations to model the thermal transport in nanometer sized graphene/stanene hetero-bilayer structures. Our simulations include the computation of thermal conductivity of pristine as well as defected structures containing several types of vacancies namely point vacancy, bi-vacancy and edge-vacancy. The room temperature thermal conductivity of the pristine 10 nm  3 nm graphene/stanene hetero-bilayer is estimated to be 127.2 AE. We have studied the impact of temperature and width of the sample on thermal transport in both pristine and defected nanoribbons. Thermal conductivity is found to decrease with the increasing temperature while it tends to increase with the increasing width. Furthermore, we have investigated the thermal conductivity of defected bilayers as a function of vacancy concentration within a range of 0.5% to 2% and compared those for pristine structures. A vacancy concentration of 2% leads to 50-70% reduction in the thermal conductivity of the pristine bilayer nanoribbons. Such a study provides a good insight into the optimization and control of thermal transport characteristics of the low dimensional graphene/stanene nanostructure based thermal and nanoelectronic devices.
“…With the increase in temperature, the number of phonons increases. Consequently phononphonon scattering, specically Umklapp scattering 28,36,37 increases. Hence with the increase in temperature, HCACF prole decays to zero in a shorter time 38 resulting in the computation of decreasing thermal conductivity.…”
Section: Resultsmentioning
confidence: 99%
“…long wavelength phonons are the majority heat carriers in graphene 35 and stanene. 37 The localization of these heat carriers in the presence of vacancies reduces the thermal transport capability of the graphene/stanene heterobilayer structure. Moreover, strong inelastic scattering at around the vacancy centers as well as at a distance from the vacancy centers 38 causes an overall reduction in the thermal conductivity of the heterobilayer structure with vacancies.…”
In this study, we have performed equilibrium molecular dynamics simulations to model the thermal transport in nanometer sized graphene/stanene hetero-bilayer structures. Our simulations include the computation of thermal conductivity of pristine as well as defected structures containing several types of vacancies namely point vacancy, bi-vacancy and edge-vacancy. The room temperature thermal conductivity of the pristine 10 nm  3 nm graphene/stanene hetero-bilayer is estimated to be 127.2 AE. We have studied the impact of temperature and width of the sample on thermal transport in both pristine and defected nanoribbons. Thermal conductivity is found to decrease with the increasing temperature while it tends to increase with the increasing width. Furthermore, we have investigated the thermal conductivity of defected bilayers as a function of vacancy concentration within a range of 0.5% to 2% and compared those for pristine structures. A vacancy concentration of 2% leads to 50-70% reduction in the thermal conductivity of the pristine bilayer nanoribbons. Such a study provides a good insight into the optimization and control of thermal transport characteristics of the low dimensional graphene/stanene nanostructure based thermal and nanoelectronic devices.
“…The results of Peng et al 34 predict that stanene is a suitable candidate for next-generation thermoelectric devices with its high thermoelectric efficiency. Nissimagoudar et al 35 studied the diffusive nature of the thermal conductivity of a stanene sheet using a phonon Boltzmann transport formalism and density functional theory calculations. For a stanene sheet with a sample size of 1 mm  1 mm, the calculated lattice thermal conductivities along the zigzag and armchair directions are 10.83 W m À1 K À1 and 9.2 W m À1 K À1 respectively, at room temperature.…”
Thermal and mechanical properties of stanene nanoribbons have been characterized to aid the design of stanene based thermoelectrics and nanoelectronic devices.
“…Thus, systematic investigation of phonon transport properties for 2D group-IV materials is needed.Detailed theoretical investigations have predicted that the thermal conductivity κ of graphene and silicene are in the range of 2000-5000 W/mK and 20-30 W/mK, respectively 6,21-30 . Moreover, strain effects on lattice thermal conductivity of 2D group-IV crystals have been investigated 25,30,31 .However, due to the violation of crystal symmetry, translational invariance and rotational invariance in 2D materials in the computational algorithms 32 , in silicene, germanene and stanene, the flexural acoustic branch usually has a linear component 31,33 , which significantly influence the phonon transport. To get a more precise estimation, in our calculations, all the invariance con-…”
mentioning
confidence: 99%
“…However, due to the violation of crystal symmetry, translational invariance and rotational invariance in 2D materials in the computational algorithms 32 , in silicene, germanene and stanene, the flexural acoustic branch usually has a linear component 31,33 , which significantly influence the phonon transport. To get a more precise estimation, in our calculations, all the invariance con-…”
It has been argued that stanene has lowest lattice thermal conductivity among 2D group-IV materials because of largest atomic mass, weakest interatomic bonding, and enhanced ZA phonon scattering due to the breaking of an out-of-plane symmetry selection rule. However, we show that although the lattice thermal conductivity κ for graphene, silicene and germanene decreases monotonically with decreasing Debye temperature, unexpected higher κ is observed in stanene. By enforcing all the invariance conditions in 2D materials and including Ge 3d and Sn 4d electrons as valence electrons for germanene and stanene respectively, the lattice dynamics in these materials are accurately described. A large acoustic-optical gap and the bunching of the acoustic phonon branches significantly reduce phonon scattering in stanene, leading to higher thermal conductivity than germanene. The vibrational origin of the acoustic-optical gap can be attributed to the buckled structure. Interestingly, a buckled system has two competing influences on phonon transport: the breaking of the symmetry selection rule leads to reduced thermal conductivity, and the enlarging of the acoustic-optical gap results in enhanced thermal conductivity. The size dependence of thermal conductivity is investigated as well. In nanoribbons, the κ of silicene, germanene and stanene is much less sensitive to size effect due to their short intrinsic phonon mean free paths. This work sheds light on the nature of phonon transport in buckled 2D materials.
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