论文标题
铜酸盐超导体中的声子滴度的异常软化
Anomalous softening of phonon-dispersion in cuprate superconductors
论文作者
论文摘要
在充电密度波（CDW）订购波矢量下，在未掺杂的铜酸盐超导体中，已经在实验中观察到了声子滴度的软化。有趣的是，与金属系统相反，软化的柔软发生在超导（SC）过渡温度t $ _ {C} $下方，而金属系统通常发生的软化通常发生在CDW发作温度t $ _ {\ text {cdww}} $下方。对声子的“异常”性质的理解及其在掺杂的丘比特人中与伪间隙阶段的联系仍然是空的问题。在一种扰动方法中，我们表明，与热波动相关的准cdw，SC订单和终生之间的复杂相互作用可以解释在t $ _ {c} $下方的异常声子。此外，根据材料特异性，我们的形式主义捕获了低温声子柔和的不同特征。
A softening of phonon-dispersion has been observed experimentally in under-doped cuprate superconductors at the charge-density wave (CDW) ordering wave vector. Interestingly, the softening occurs below the superconducting (SC) transition temperature T$_{c}$, in contrast to the metallic systems, where the softening occurs usually below the CDW onset temperature T$_{\text{CDW}}$. An understanding of the `anomalous' nature of the phonon-softening and its connection to the pseudo-gap phase in under-doped cuprates remain open questions. Within a perturbative approach, we show that a complex interplay among the ubiquitous CDW, SC orders and life-time of quasi-particles associated to thermal fluctuations, can explain the anomalous phonon-softening below T$_{c}$. Furthermore, our formalism captures different characteristics of the low temperature phonon-softening depending on material specificity.
