发表机构
Chulalongkorn University（朱拉隆功大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究非常规超导体中超导对场的动力学描述，将库珀通道哈伯德-斯特拉托诺维奇场视为记忆修饰的博戈留波夫对场，耦合到反节点选择的场，得出超导转变主要在非相干赝能隙记忆和相干博戈留波夫记忆间重组对场谱权重。
AI 中文摘要
我们发展了超导对场的动力学描述，其中库珀通道哈伯德 - 斯特拉托诺维奇场$\Delta$被视为记忆修饰的博戈留波夫对场，而非纯粹的静态序参量。从标准的对场有效作用量出发，我们将$\Delta$耦合到反节点选择的集体场或自生成场。这样一组模式产生局部博戈留波夫频率的分布；当该分布近似为高斯分布时，系综平均给出记忆因子$\exp[-t^2/(2\tau_g^2)]$。在铜酸盐超导体中，反节点能隙或赝能隙限制了活跃电子相空间，并充当动量空间光谱腔。它选择波动波矢$\mathbf Q_a$，在有序极限下这些波矢可能成为类似电荷密度波的不稳定性，但在波动 regime 中表现为局部集体场的库。相同的框架允许共振代数前置因子，使得阈值和强迫振荡器响应产生层次结构$p = -1/2, 1/2, 1, 3/2, \ldots$，而高斯包络截断长期增长并将这些分支转换为有限光谱分量。所得图像包含一个稳健的赝能隙记忆通道，并且在$T_c$以下，有一个与$|\Delta_0(T)|^2$成比例的额外凝聚体辅助相干通道。因此，超导转变主要在非相干赝能隙记忆和相干博戈留波夫记忆之间重新组织对场谱权重。频域响应以抛物柱面函数表示，并且与拉曼、角分辨光电子能谱（ARPES）、隧道效应以及与掺杂相关的 ARPES 标度的比较表明，这些探针是同一高斯记忆对连续体的互补投影。我们将数值结果与最近关于 Bi$_2$Sr$_2$CaCu$_2$O$_{8 + \delta}$的实验数据进行比较。
英文摘要
Antinodal angle-resolved photoemission spectroscopy (ARPES) in cuprate superconductors reveals a broad incoherent background alongside a temperature-dependent superconducting contribution. We show that both features are naturally captured by a single family of parabolic cylinder functions (PCFs). First, the broad antinodal background in \BiCuprate\ is well described by a primitive PCF branch of the form $e^{-z^2/4}D_{-1/2}(z)$. Second, a superconductivity-associated component isolated via time-resolved ARPES subtraction follows a distinct $D_{3/2}$ branch. Third, the same $D_{3/2}$ structure is recovered in equilibrium temperature differences and across doping series. These findings motivate the minimal decomposition $ρ(E,T)=ρ_{\rm BG}(E,T)+ρ_{\rm SC}(E,T)$, where the superconductivity-associated spectral weight scales as $A_{\rm SC}(T)\propto |Δ(T)|^2$. Dynamically, these branches originate from a Cooper-pair field with finite temporal memory: a smooth memory kernel generates a leading Gaussian temporal envelope $\exp(-t^2/2τ_G^2)$ at short times, while algebraic many-body prefactors select the PCF branch index. If the finite-memory and algebraic incoherent dressing is formally removed, the resulting structure connects to the standard Bogoliubov/BCS spectrum. The main conclusion is that the incoherent antinodal continuum and the longer-lived superconductivity-associated component are distinct projections of a common memory-dressed pair field.
Comments17 pages, 5 figures
