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arXiv 0910.2286cond-mat.str-elcond-mat.mtrl-sci
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无耗散能斯特效应理论

Theory of dissipationless Nernst effects

Doron Bergman, Vadim Oganesyan

摘要:

本文发展了有限磁场中横向热电(Peltier)电导率α_{xy}的理论--这种特殊的电导率往往是对能斯特热电势最重要的贡献。我们证明了自由电子气体的α_{xy}可以完全精确地表示为每个载流子的熵,而与温度无关(这与Girvin和Jonson的开创性的Hall棒结果一致)。在两个维度上,我们证明了这一结果的普遍性,在无序的存在下,它允许明确演示石墨烯和其他二维材料的实验感兴趣的一些功能。我们也利用这种关系在低场区和分析的丰富奇异性结构的α_{xy}(B,T)在三维,我们讨论了它可能的实验意义。

英文摘要:

We develop a theory of transverse thermoelectric (Peltier) conductivity, α_{xy}, in finite magnetic field -- this particular conductivity is often the most important contribution to the Nernst thermopower. We demonstrate that α_{xy} of a free electron gas can be expressed purely and exactly as the entropy per carrier irrespective of temperature (which agrees with seminal Hall bar result of Girvin and Jonson). In two dimensions we prove the universality of this result in the presence of disorder which allows explicit demonstration of a number features of interest to experiments on graphene and other two-dimensional materials. We also exploit this relationship in the low field regime and to analyze the rich singularity structure in α_{xy}(B, T) in three dimensions; we discuss its possible experimental implications.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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