什么时候Kadowaki-Woods比率是普遍的？
When is the Kadowaki-Woods ratio universal?
摘要：
本文计算了具有任意能带结构的费米液体的Kadowaki-Woods比。我们发现，相反的单频带的情况下，该比率一般是不独立的电子相关性（通用）的影响。这是非常令人惊讶的实验发现，一个近乎普遍的KWR在许多多带金属。我们确定了一个限制的普遍性的比例，这已被观察到在许多强关联电子系统的实验，恢复。我们讨论了二维和三维狄拉克半金属中的KWR。在二维的情况下，我们也推广的KWR占对数因子的自能。在这两种情况下，我们发现，KWR是独立的相关性，但强烈依赖于系统的掺杂：对于无质量的费米子的KWR是成正比的载流子密度的平方反比，而系统与大量准粒子的KWR是成正比的载流子密度的倒数。
英文摘要：
We calculate the Kadowaki-Woods ratio (KWR) in Fermi liquids with arbitrary band structures. We find that, contrary to the single band case, the ratio is not generally independent of the effects of electronic correlations (universal). This is very surprising given the experimental findings of a near universal KWR in many multiband metals. We identify a limit where the universality of the ratio, which has been observed experimentally in many strongly correlated electron systems, is recovered. We discuss the KWR in Dirac semimetals in two and three dimensions. In the two-dimensional case we also generalize the KWR to account for the logarithmic factor in the self-energy. In both cases we find that the KWR is independent of correlations, but strongly dependent on the doping of the system: for massless fermions the KWR is proportional to the inverse square of the carrier density, whereas the KWR for systems with massive quasiparticles is proportional to the inverse of the carrier density.
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