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arXiv 2511.03436cond-mat.str-elcond-mat.supr-con
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SC$^*$ 超导与二维 Hubbard 模型 SU(2) 规范理论中的自旋刚度

SC$^*$ Superconductivity and Spin Stiffnesses in the SU(2) Gauge Theory of the Two-Dimensional Hubbard Model

Demetrio Vilardi, Pietro M. Bonetti

AI总结:

研究二维 Hubbard 模型 SU(2) 规范理论中由 chargons 配对引发的 SC* 超导态,发现超导显著抑制自旋刚度并增强量子自旋涨落,有助于稳定量子无序以抵抗长程磁序。

摘要:

我们研究了二维 Hubbard 模型中自旋涨落的 SU(2) 规范理论,其中电子场被分数化为 spinons 和 chargons。在该理论中,spinons 由非线性 sigma 模型描述,而 chargons 在平均场层面被处理为费米子。我们研究了由发生 chargons 配对的分数化费米液体(FL*)引发的超导态 SC* 的不稳定性。与以往研究一致,我们的分析揭示了一个以 chargons 的磁序与超导序共存为特征的相。本工作的核心贡献是计算了超导对空间和时间自旋刚度的反馈,从而量化了其对自旋涨落的影响。我们的关键发现是,超导显著抑制了这些自旋刚度,增强了量子自旋涨落。这种增强表明,超导在稳定量子无序以抵抗长程磁序方面可发挥关键作用。

英文摘要:

We consider the SU(2) gauge theory for spin fluctuations in the two-dimensional Hubbard model, where the electron field is fractionalized in terms of spinons and chargons. In this theory, spinons are described by a non-linear sigma model, while chargons are treated as fermions at a mean-field level. We investigate the instability to a superconducting state SC*, arising from a fractionalized Fermi liquid (FL*) where pairing between chargons occurs. Consistent with previous studies, our analysis reveals a coexisting phase characterized by both magnetic and superconducting order for the chargons. The central contribution of this work is the calculation of the feedback of superconductivity on spatial and temporal spin stiffnesses, thereby quantifying its impact on spin fluctuations. Our key finding is that superconductivity significantly suppresses these spin stiffnesses, enhancing quantum spin fluctuations. This enhancement suggests that superconductivity can play a crucial role in stabilizing quantum disorder against long-range magnetic ordering.

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