论文标题

巨大和倾斜的狄拉克系统中的异常洛伦兹号

Anomalous Lorenz number in massive and tilted Dirac systems

论文作者

Sengupta, Parijat, Bellotti, Enrico

论文摘要

我们分析使用$β$ - 苯乙烯作为代表性材料,分析计算大量和倾斜的零dirac系统中的异常横向电流和热电流,并报告相应的Lorenz数量$ \ lest(\ Mathcal {l} _ {an} _ {an} \ right)$偏离其经典接受的价值价值的条件。 $ \ left(\ mathcal {l} _ {0} \ right)$。 The deviations in the high-temperature regime are shown to be an outcome of the quantitative difference in the respective kinetic transport expressions for electric $\left(σ\right)$ and thermal $\left(κ\right)$ conductivity, and are further weighted through a convolution integral with a non-linearly energy-dependent Berry curvature that naturally arises in a Dirac material.此外,发现通过外部刺激更改的狄拉克系统的倾斜和各向异性被发现会对$ \ Mathcal {l} _ {an} $进行定量影响。报告的偏离$ \ Mathcal {l} _ {0} $保持实用性的偏差,因为它们允许独立调整$σ$和$κ$,可用于优化热电设备的输出。

We analytically calculate the anomalous transverse electric and thermal currents in massive and tilted Dirac systems, using $ β$-borophene as a representative material, and report on conditions under which the corresponding Lorenz number $\left(\mathcal{L}_{an}\right)$ deviates from its classically accepted value $\left(\mathcal{L}_{0}\right)$. The deviations in the high-temperature regime are shown to be an outcome of the quantitative difference in the respective kinetic transport expressions for electric $\left(σ\right)$ and thermal $\left(κ\right)$ conductivity, and are further weighted through a convolution integral with a non-linearly energy-dependent Berry curvature that naturally arises in a Dirac material. In addition, the tilt and anisotropy of the Dirac system that are amenable to change via external stimulus are found to quantitatively influence $ \mathcal{L}_{an} $. The reported deviations from $\mathcal{L}_{0} $ hold practical utility inasmuch as they allow an independent tuning of $σ$ and $ κ$, useful in optimizing the output of thermoelectric devices.

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