论文标题

一维哈驼型模型中的抗铁磁波动

Antiferromagnetic fluctuations in the one-dimensional Hubbard model

论文作者

Janiš, Václav, Klíč, Antonín, Yan, Jiawei

论文摘要

我们研究了由抗铁磁波动增强引起的一维哈伯德模型的低温临界行为。我们使用平均场型近似,其两粒子自符矛盾将裸相互作用重新归一化。它使我们能够控制从高温到低温以及从弱耦合到强耦合的过渡。我们表明,有一个交叉温度$ t_ {0} = t \ exp \ { - 1/uρ(0)\} $,用于任意交互$ u> 0 $,而在费米能$ρ(0)> 0 $的情况下,状态的裸露密度。较低温度下的溶液逐渐变为强耦合,并接近量子临界点,并在零温度下的激发频谱中的交错敏感性和间隙接近量子临界点。

We study the low-temperature critical behavior of the one-dimensional Hubbard model near half filling caused by enhanced antiferromagnetic fluctuations. We use a mean-field-type approximation with a two-particle self-consistency renormalizing the bare interaction. It allows us to control a transition from high to low temperatures as well as from weak to strong-coupling. We show that there is a crossover temperature $T_{0}= t\exp\{-1/Uρ(0)\}$ for arbitrary interaction $U>0$ and the bare density of states at the Fermi energy $ρ(0)>0$. The solution at lower temperatures goes over to strong coupling and approaches a quantum critical point with the diverging staggered susceptibility and a gap in the excitation spectrum at zero temperature.

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