Dimensional crossover of thermal transport in quantum harmonic lattices coupled to self-consistent reservoirs
Dimensional crossover of thermal transport in quantum harmonic lattices coupled to self-consistent reservoirs
复制标题
与自洽储层耦合的量子调和晶格中热传输的维度交叉
DOI：
10.1103/physreve.102.012121
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发表时间：
2020
影响因子：
2.4
通讯作者：
Sambonchiku Masaya
中科院分区：
文献类型：
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作者：
Hattori Kiminori;Sambonchiku Masaya
在这项研究中，我们研究了与自洽储层耦合的维量子调和晶格的热传输。通过利用正交变换将维度系统视为一组克莱因-戈登链。出于一般性考虑，描述油藏-系统耦合的自能被假设为能量Σ∝−iɛn的幂函数，由于实际情况限制为奇整数。总动量守恒定律被违反，但在其他方面却得以保留。在这种方法中，我们表明，对于热导率来说，热导率在热力学极限内保持有限，并且对于任意值 都会发生正常传输。然而，只要热导率发散，热传输就会变得异常，而正常传输就会恢复。这些针对量子力学晶格得出的标准意味着，尽管总动量守恒，但正常输运仍会在足够高的维度中出现，并强化了在经典极限中推导出来的普遍猜想。
In this study, we investigate thermal transport in-dimensional quantum harmonic lattices coupled to self-consistent reservoirs. The-dimensional system is treated as a set of Klein-Gordon chains by exploiting an orthogonal transformation. For generality, the self-energy that describes the reservoir-system coupling is assumed to be a power function of energy Σ∝−iɛn, whereis limited to odd integers because of the reality condition. Total momentum conservation is violated forbut otherwise preserved. In this approach, we show that for, thermal conductivity remains finite in the thermodynamic limit and normal transport takes place for an arbitrary value of. For, however, thermal conductivity diverges and thermal transport becomes anomalous as long as, whereas normal transport is recovered when. These criteria derived for quantum-mechanical lattices imply that normal transport emerges in high enough dimensions despite total momentum conservation and reinforce the prevailing conjecture deduced in the classical limit.