Resistivity of a non-galilean-invariant Fermi liquid near Pomeranchuk quantum criticality.
Resistivity of a non-galilean-invariant Fermi liquid near Pomeranchuk quantum criticality.
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接近波美兰丘克量子临界点的非伽利略不变费米液体的电阻率。
DOI：
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发表时间：
2010
影响因子：
8.6
通讯作者：
A. Chubukov
中科院分区：
文献类型：
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作者：
D. Maslov;V. Yudson;A. Chubukov
我们分析了在Pomeranchuk量子相变（QPT）附近电子-电子相互作用对金属电阻率的影响。我们发现，umklapp过程是不有效的QPT附近，必须考虑相互作用和无序，以获得有限的和T依赖的电阻率。通过功率计数，在低T下对剩余电阻率的校正在Z= 3QPT附近标度为AT（（D+2）/3）。然而，我们表明，A=0的简单连接，凸费米面在2D中，由于隐藏的可积性的电子运动。我们认为在一个两带（s-d）模型中A>0，并提出这个模型作为对所观察到的T（（D+2）/3）行为的解释。
We analyze the effect of the electron-electron interaction on the resistivity of a metal near a Pomeranchuk quantum phase transition (QPT). We show that umklapp processes are not effective near a QPT, and one must consider both interactions and disorder to obtain a finite and T dependent resistivity. By power counting, the correction to the residual resistivity at low T scales as AT((D+2)/3) near a Z=3 QPT. We show, however, that A=0 for a simply connected, convex Fermi surface in 2D, due to the hidden integrability of the electron motion. We argue that A>0 in a two-band (s-d) model and propose this model as an explanation for the observed T((D+2)/3) behavior.