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arXiv 2512.03368cond-mat.supr-concond-mat.mtrl-scicond-mat.str-elphysics.app-phquant-ph
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短程调制电子晶格与铜基超导体的d波超导性:一种现象学吉恩茨-兰道框架

Theoretical Description of Electronic Modulation and Superconducting Coherence

Hyunsung T&C Laboratory(Hyunsung T&C 实验室);Department of Physics, University of California, Berkeley(加州大学伯克利分校物理系);SuperMatics, Inc.(SuperMatics 公司)

Jaehwahn Kim, Davis A. Rens, Waqas Khalid, Hyunchul Kim

AI总结:

该研究提出一种现象学吉恩茨-兰道框架,探讨铜基超导体中短程调制电子晶格与d波超导性之间的关系,通过模拟预测了超流刚性增强及扫描隧道谱特征。

摘要:

我们开发了一种现象学吉恩茨-兰道(GL)框架,用于高温超导体铜基材料,其中短程调制的电子电荷密度与d波超导凝聚态耦合。由此产生的调制电子晶格(MEL)状态不同于长程静态电荷密度波秩序:它是短程的,部分相相干的,并与超导相干性相关。从动量依赖性磁化率和键伸缩声子的相互作用中,沿Cu-O键方向出现了一个优选波矢q*≈0.3的倒格子单位,这与YBa₂Cu₃O₇₋δ及其相关铜基材料的中子和X射线数据一致。GL自由能包含耦合的d波超导和电荷部分,其参数由最优掺杂YBa₂Cu₃O₇₋δ约束。我们确定了掺杂、温度、MEL相关长度和杂质中的一种MEL增强窗口,其中相干调制增强了超流刚性。经典蒙特卡罗模拟得出平面内刚性增强约10%,我们将其视为定性预测,以被自洽的博格利亚诺-德·戈尼斯计算测试。MEL框架提供了可检验的实验特征。对于铋基铜基材料的扫描隧道谱,我们强调两个预测:傅里叶变换后的局部态密度应表现出q*≈0.3的峰值,其能谱权重随着超导相相干发展在Tc以下变尖锐,与静态电荷情景不同;局部能隙幅度Δ(r)应与局部MEL幅度正相关。该框架暗示MEL相关长度、超流刚性、杂质和涡流钉扎之间的相关性,并将铜基材料观测整理为可检验的STM/STS预测。

英文摘要:

An electronic modulation can retain a substantial local amplitude while its translational coherence is limited by spatial disorder. Its coupling to superconductivity therefore cannot be characterized by a single modulation intensity. We develop a phenomenological formulation of a finite-wave-vector complex electronic envelope coupled to a charged superconducting field. Translation and gauge symmetries constrain the interaction terms, while amplitude, modulation-gradient and condensate-gradient couplings act on distinct responses. The resulting variational equations give uniform coexistence conditions, local stability criteria and phase-gradient coefficients. We define the helicity modulus by a boundary twist, distinguish phase-only from amplitude-weighted correlations, and give an explicit minimal spectral Hamiltonian illustrating how the electronic texture may enter momentum-resolved measurements. The proposed tests use distinct spatial, spectral and stiffness observables; none assumes that a tunnelling gap directly measures condensate amplitude. An explicit kernel expansion yields the leading displacement of the selected wave vector, while the thermodynamic twist response determines phase rigidity independently of charge intensity. The analytical relations and selected numerical responses distinguish amplitude, spatial organization and condensate rigidity within the specified coupled-field model.

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