标题： 莫特和维德曼-弗朗茨定律对于不同散射机制的单层石墨烯 显示英文标题

标题： Mott and Wiedemann Franz Law for Monolayer Graphene for Different Scattering Mechanisms

摘要： 在本研究中，我们对单层纯石墨烯在温度变化下的热电响应进行了全面的回顾和分析。 采用玻尔兹曼输运理论，我们严格检查和评估了各种热电系数，特别强调阐明它们在不同散射机制下的行为。 我们通过费米积分的索末菲展开推导出低温下的电导率、赛贝克系数和热导率的解析表达式。 我们证明了数值获得的值在低温下与解析计算一致，因此遵循莫特和维德曼-弗朗茨定律。 然而，在较高温度下观察到了偏差。 此外，我们在低温和高温下进行了化学势的理论计算，并将其与所有温度下的数值评估结果进行了比较。 通过广泛的计算和细致的评估，我们的研究有助于更深入地理解单层纯石墨烯固有的复杂热电特性。 显示英文摘要

摘要： In this study, we conducted a comprehensive review and analysis of the thermoelectric responses exhibited by monolayer pristine graphene in response to temperature variations. Employing the Boltzmann transport theory, we rigorously examined and evaluated various thermoelectric coefficients, with particular emphasis on elucidating their behavior under different scattering mechanisms. We derived the analytical expressions for electrical conductivity, thermopower, and thermal conductivity at low temperatures by Sommerfeld expansion of the Fermi integral. We demonstrated that our numerically obtained values are consistent with the analytical calculations at low temperatures and hence obeying Mott and Wiedeman Franz law. However, the deviation was observed at higher temperatures. Furthermore, we performed theoretical calculations of chemical potential at both low and high temperatures and compared them with our numerically evaluated results at all temperatures. Through extensive calculations and meticulous evaluation, our study contributes to a deeper understanding of the intricate thermoelectric properties inherent in monolayer pristine graphene.