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arXiv 1609.08620cond-mat.str-elcond-mat.supr-con
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金属自旋密度波跃迁的量子临界性质

Quantum critical properties of a metallic spin density wave transition

Max H. Gerlach, Yoni Schattner, Erez Berg, Simon Trebst

摘要:

本文报道了用数值精确的量子决定论蒙特卡罗模拟方法研究了二维晶格模型捕获的巡游电子系统中自旋密度波(SDW)序的产生。在相变附近的SDW相关性的广泛测量表明,玻色子序参量的临界动力学很好地描述了一个动态临界指数z = 2,与赫兹-米利斯理论一致,但被发现遵循有限的温度依赖性,不适合相同的理论的预测行为。临界SDW涨落的存在被发现有强烈的影响,在量子临界点附近的费米准粒子,引起一个圆顶形的超导相。在超导状态下,我们发现一个间隙函数,具有相反的符号之间的两个带的模型,几乎是恒定的沿费米表面的每个带。在超导$T_c$之上,我们的数值模拟揭示了一种几乎与温度和频率无关的自能,它对费米面热点附近的低能准粒子谱权重产生了强烈的抑制作用。这表明费米液体理论在这些点上有一个明显的缺陷。

英文摘要:

We report on numerically exact determinantal quantum Monte Carlo simulations of the onset of spin-density wave (SDW) order in itinerant electron systems captured by a sign-problem-free two-dimensional lattice model. Extensive measurements of the SDW correlations in the vicinity of the phase transition reveal that the critical dynamics of the bosonic order parameter are well described by a dynamical critical exponent z = 2, consistent with Hertz-Millis theory, but are found to follow a finite-temperature dependence that does not fit the predicted behavior of the same theory. The presence of critical SDW fluctuations is found to have a strong impact on the fermionic quasiparticles, giving rise to a dome-shaped superconducting phase near the quantum critical point. In the superconducting state we find a gap function that has an opposite sign between the two bands of the model and is nearly constant along the Fermi surface of each band. Above the superconducting $T_c$ our numerical simulations reveal a nearly temperature and frequency independent self energy causing a strong suppression of the low-energy quasiparticle spectral weight in the vicinity of the hot spots on the Fermi surface. This indicates a clear breakdown of Fermi liquid theory around these points.

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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