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通过塞贝克系数探测石墨烯和夸克物质中的流体动力学

Probing hydrodynamics in graphene and quark matter via Seebeck coefficient

Subhalaxmi Nayak, Jayanta Dey, Sabyasachi Ghosh

arXiv 2609.34544首次发表:更新:

发表机构

Indian Institute of Technology Bhilai; Joint Institute for Nuclear Research(印度技术学院比莱分校; 俄罗斯联合核研究所)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文用动力学理论在流体动力学区域求解玻尔兹曼方程,计算石墨烯和夸克-胶子等离子体的塞贝克系数,发现低载流子密度下偏离莫特定理,与实验吻合,揭示集体流体输运行为。

AI 中文摘要

我们采用动力学理论方法,在流体动力学区域内研究了塞贝克系数作为石墨烯和夸克-胶子等离子体中集体输运行为的探针。塞贝克系数通过在弛豫时间近似下求解玻尔兹曼输运方程获得。在高载流子密度下,对应于费米液体区域,我们的结果趋近于传统莫特定理所预期的行为。相反,在低载流子密度区域,即狄拉克流体区域,我们观察到与莫特定理的显著偏离。这些事实与石墨烯的实验塞贝克系数数据吻合良好。这种行为表明石墨烯中出现了集体流体动力学输运。在狄拉克流体区域,每个粒子的焓对塞贝克系数起着关键作用。我们将我们的形式体系扩展到超相对论性夸克-胶子等离子体。观察到与莫特定理的类似偏离,支持在两种显著不同的强关联量子系统——石墨烯和夸克物质——中塞贝克系数存在类似的流体响应。

英文摘要

We investigate the Seebeck coefficient as a probe of collective transport behavior in graphene and quark-gluon plasma using a kinetic-theory approach in the hydrodynamic regime. The Seebeck coefficient is obtained by solving the Boltzmann transport equation in the relaxation-time approximation. At high-charge-carrier density, corresponding to the Fermi-liquid domain, our result approaches the behavior expected from the conventional Mott relation. In contrast, significant deviations from the Mott relation are observed in the low-carrier-density regime, corresponding to the Dirac fluid domain. These facts are in good agreement with experimental Seebeck coefficient data for graphene. This behavior indicates the emergence of collective hydrodynamic transport in graphene. The enthalpy per particle plays a key role for the Seebeck coefficient in the Dirac fluid regime. We extend our formalism to the ultra-relativistic quark-gluon plasma. A similar deviation from the Mott relation is observed, supporting a similar fluid response in the Seebeck coefficient across two markedly different strongly correlated quantum systems - graphene and quark matter.

论文原文

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