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arXiv 1104.4867cond-mat.str-el
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近藤击穿量子临界点处$T$ -线性电阻率中顶点修正的作用

Role of vertex corrections in the $T$-linear resistivity at the Kondo breakdown quantum critical point

Ki-Seok Kim

摘要:

近藤击穿方案已被要求允许$T$ -线性电阻率附近的近藤击穿量子临界点,其中两个基石是动力学指数$z = 3$量子临界性的杂化波动在三维和无关的顶点校正运输由于本地化电子的存在。我们重新讨论电输运系数的顶点修正问题。假设两种玻色子自由度(杂化激发和规范涨落)处于平衡状态,导出了两种费米子(传导电子和自旋子)的耦合量子Boltzmann方程.我们揭示了顶点校正发挥了一定的作用,将$T$ -线性行为改变为三维的$T^{5/3}$。然而,$T^{5/3}$制度原来是狭窄的,和$T$ -线性电阻率仍然是预期在大多数温度范围内的近藤击穿量子临界点,尽管存在的顶点校正。我们证明我们的评估,表明霍尔系数是不重整化保持费米液体值在近藤击穿量子临界点。

英文摘要:

The Kondo breakdown scenario has been claimed to allow the $T$-linear resistivity in the vicinity of the Kondo breakdown quantum critical point, two cornerstones of which are the dynamical exponent $z = 3$ quantum criticality for hybridization fluctuations in three dimensions and irrelevance of vertex corrections for transport due to the presence of localized electrons. We revisit the issue of vertex corrections in electrical transport coefficients. Assuming that two kinds of bosonic degrees of freedom, hybridization excitations and gauge fluctuations, are in equilibrium, we derive coupled quantum Boltzmann equations for two kinds of fermions, conduction electrons and spinons. We reveal that vertex corrections play a certain role, changing the $T$-linear behavior into $T^{5/3}$ in three dimensions. However, the $T^{5/3}$ regime turns out to be narrow, and the $T$-linear resistivity is still expected in most temperature ranges at the Kondo breakdown quantum critical point in spite of the presence of vertex corrections. We justify our evaluation, showing that the Hall coefficient is not renormalized to remain as the Fermi-liquid value at the Kondo breakdown quantum critical point.

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