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arXiv 2101.02664cond-mat.mtrl-sci
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In $_2$ O PDMATHAAB与Al $_2$ O PDMATHAAB、Ga $_2$ O $_3$和KTaO $_3$热导率关系的第一性原理研究

First principles study of thermal conductivity of In$_2$O$_3$ in relation to Al$_2$O$_3$, Ga$_2$O$_3$, and KTaO$_3$

Alaska Subedi

摘要:

我用第一性原理计算了$β$ -In $_2$ O $_3$的热导率,并与$α$ -Al $_2$ O $_3$,$β$ -Ga $_2$ O $_3$,KTaO $_3$的结果进行了比较.计算得到的$β$ -In $_2$ O $_3$的热导率与最近的实验数据吻合得很好,实验发现该材料的低温热导率可达1000 W/mK以上。我发现在所有温度下计算的$β$ -Ga $_2$ O $_3$的热导率都大于$β$ -In $_2$ O $_3$的热导率,这意味着$β$ -Ga $_2$ O $_3$在低温下也应该表现出高的热导率值.忽略低频模声子软化随温度变化的情况,计算得到的KTaO $_3$的热导率与$β$ $_2$ O $_3$的热导率在高温下的数值相近.然而,计算的KTaO $_3$的热导率在低温下不像二元化合物那样急剧增加,这导致KTaO $_3$具有最低的低温热导率,尽管其具有大于$β$ $_2$ O $_3$和$β$ $_2$ O $_3$的声学声子速度。我认为这是因为KTaO $_3$中低频的声学声子速度分布不均匀,因为它的声学声子分支比二元氧化物更分散,这导致即使在正常的声子-声子散射过程中也会增加动量损失。我还计算热扩散率使用理论上获得的热导率和热容,发现所有四种材料在高温下表现出预期的$T^{-1}$行为。此外,计算出的平均声子散射时间与普朗克时间的比值大于在许多其他材料中凭经验观察到的下限1。

英文摘要:

I use first principles calculations to investigate the thermal conductivity of $β$-In$_2$O$_3$ and compare the results with that of $α$-Al$_2$O$_3$, $β$-Ga$_2$O$_3$, and KTaO$_3$. The calculated thermal conductivity of $β$-In$_2$O$_3$ agrees well with the experimental data obtain recently, which found that the low-temperature thermal conductivity in this material can reach values above 1000 W/mK. I find that the calculated thermal conductivity of $β$-Ga$_2$O$_3$ is larger than that of $β$-In$_2$O$_3$ at all temperatures, which implies that $β$-Ga$_2$O$_3$ should also exhibit high values of thermal conductivity at low temperatures. The thermal conductivity of KTaO$_3$ calculated ignoring the temperature-dependent phonon softening of low-frequency modes give high-temperature values similar that of $β$-Ga$_2$O$_3$. However, the calculated thermal conductivity of KTaO$_3$ does not increase as steeply as that of the binary compounds at low temperatures, which results in KTaO$_3$ having the lowest low-temperature thermal conductivity despite having acoustic phonon velocities larger than that of $β$-Ga$_2$O$_3$ and $β$-In$_2$O$_3$. I attribute this to the fact that the acoustic phonon velocities at low frequencies in KTaO$_3$ is less uniformly distributed because its acoustic phonon branches are more dispersive compared to the binary oxides, which causes enhanced momentum loss even during the normal phonon-phonon scattering processes. I also calculate thermal diffusivity using the theoretically obtained thermal conductivity and heat capacity and find that all four materials exhibit the expected $T^{-1}$ behavior at high temperatures. Additionally, the calculated ratio of the average phonon scattering time to Planckian time is larger than the lower bound of 1 that has been observed empirically in numerous other materials.

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