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arXiv 1609.09568cond-mat.supr-concond-mat.str-el
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量子临界反铁磁涨落介导的超导性:热点的上升和下降

Superconductivity mediated by quantum critical antiferromagnetic fluctuations: The rise and fall of hot spots

Xiaoyu Wang, Yoni Schattner, Erez Berg, Rafael M. Fernandes

摘要:

在几种非常规超导体中,最高的超导转变温度$T_{c}$出现在相图中反铁磁转变温度外推到零的区域,这表明存在一个假定的量子临界点。对这两种现象--高$T_{c}$超导性和磁量子临界性--之间相互作用的解释仍然是非常规超导性复杂谜题的重要组成部分。本文采用无符号问题的量子蒙特卡罗模拟和场论分析计算相结合的方法,揭示了一般低能自旋费米子模型超导不稳定性的微观机制。在这种方法中,低能电子态通过量子临界磁涨落的交换相互作用。我们发现,即使在适度的强相互作用的制度,超导转变温度和配对磁化率是由整个费米表面的属性,而是由费米表面的一小部分的属性称为热点。此外,$T_{c}$随着相互作用强度的增加而增加,直到它在从热点主导到费米面主导的配对的交叉处开始饱和。我们的工作不仅提供了宝贵的洞察力的系统参数,最强烈地影响$T_{c}$,但也是重要的基准,以评估超导电性的起源在微观模型和实际材料。

英文摘要:

In several unconventional superconductors, the highest superconducting transition temperature $T_{c}$ is found in a region of the phase diagram where the antiferromagnetic transition temperature extrapolates to zero, signaling a putative quantum critical point. The elucidation of the interplay between these two phenomena - high-$T_{c}$ superconductivity and magnetic quantum criticality - remains an important piece of the complex puzzle of unconventional superconductivity. In this paper, we combine sign-problem-free Quantum Monte Carlo simulations and field-theoretical analytical calculations to unveil the microscopic mechanism responsible for the superconducting instability of a general low-energy model, called spin-fermion model. In this approach, low-energy electronic states interact with each other via the exchange of quantum critical magnetic fluctuations. We find that even in the regime of moderately strong interactions, both the superconducting transition temperature and the pairing susceptibility are governed not by the properties of the entire Fermi surface, but instead by the properties of small portions of the Fermi surface called hot spots. Moreover, $T_{c}$ increases with increasing interaction strength, until it starts to saturate at the crossover from hot-spots dominated to Fermi-surface dominated pairing. Our work provides not only invaluable insights into the system parameters that most strongly affect $T_{c}$, but also important benchmarks to assess the origin of superconductivity in both microscopic models and actual materials.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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