有质量和倾斜Dirac系统中的反常Lorenz数
Anomalous Lorenz number in massive and tilted Dirac systems
摘要：
我们分析计算的异常横向电流和热流的质量和倾斜的狄拉克系统，使用$ β$ -硼化物作为代表性的材料，并报告的条件下，相应的洛伦兹数$\left(\mathcal{L}_{an}\right)$偏离其经典接受的值$\left(\mathcal{L}_{0}\right)$。在高温制度的偏差被证明是一个结果的定量差异在各自的动力学传输表达式的电$\left(σ\right)$和热$\left(κ\right)$的电导率，并进一步加权通过卷积积分与非线性能量依赖的Berry曲率，自然产生的狄拉克材料。此外，狄拉克系统的倾斜和各向异性，是服从通过外部刺激的变化被发现定量影响$ \mathcal{L}_{an} $。所报告的与$\mathcal{L}_{0} $的偏差具有实际效用，因为它们允许$σ$和$ κ$的独立调谐，这在优化热电装置的输出中是有用的。
英文摘要：
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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