有限频率下的电热输运系数
Electro Thermal Transport Coefficients at Finite Frequencies
AI总结：
本文提出了一种计算关联物质中电热输运系数的新方法，并应用于钠钴酸材料，验证了各种近似方法。
摘要：
我们回顾了最近发展的一种计算关联物质中热电系数的正式方法。通常此类计算的困难通过将输运形式式推广到有限频率来克服，从而可以提取高频对象。探索了霍尔常数和Seebeck系数之间的技术平行，并加以利用。对于小簇，精确对角化给出了Hubbard模型以及特别是$t$-$J$模型的完整能谱，这是一个强关联的典型模型，该能谱可用于计算精确的有限频率输运系数，从而验证各种近似方法。将此方法应用于物理上重要的钠钴酸$Na_xCoO_2$案例，并强调了对新材料的新预测。
英文摘要：
We review a recently developed formalism for computing thermoelectric coefficients in correlated matter. The usual difficulties of such a calculation are circumvented by a careful generalization the transport formalism to finite frequencies, from which one can extract the high frequency objects. The technical parallel between the Hall constant and the Seebeck coefficient is explored and used to advantage. For small clusters, exact diagonalization gives the full spectrum for the Hubbard and especially the $t$-$J$ model, a prototypical model for strong correlations, and this spectrum can be used to compute the exact finite frequency transport coefficients and hence to benchmark various approximations. An application of this formalism to the physically important case of sodium cobaltate $Na_xCoO_2$ is made, and interesting predictions for new materials are highlighted.
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