奇频超导中的核自旋-晶格弛豫率

Shumpei Iwasaki, Yoji Ohashi
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引用次数: 0

摘要

我们从理论上研究了体奇频超导中核自旋-晶格弛豫速率 $T_1^{-1}$ 的温度依赖性。对于奇频配对相互作用模型,我们首先在鞍点近似的组合路径积分形式框架内评估了超导阶次参数。然后,我们计算了低于超导相变温度$T_{\rm c}$的$T_1^{-1}$,以了解奇频配对如何影响这一物理量。在奇频$p$波状态下,虽然所谓的相干峰和偶频$p$波一样被抑制了,但发现$T_1^{-1}$表现出类似科林加定律的行为($T_1^{-1}\propto T$),除了刚好低于$T_{rm c}$,甚至没有杂质散射。在奇频$s$波情况下,发现$T_{1}^{-1}$的行为对超导有序参数的详细自旋结构很敏感:在一种情况下,$T_{1}^{-1}$ 在远低于$T_{\rm c}$时会增强,这与传统(偶频)$s$波 BCS 情况形成了鲜明对比,在后者,相干峰值刚好出现在$T_{\rm c}$以下。我们还表明,计算出的奇频 p$ 波情况下的 $T_1^{-1}$ 可以很好地解释最近在 CeRh$_{0.5}$Ir$_{0.5}$In$_5$ 上进行的实验,最近在该实验中提出了奇频 p$ 波超导的可能性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Nuclear Spin-Lattice Relaxation Rate in Odd-Frequency Superconductivity
We theoretically investigate the temperature dependence of nuclear spin-lattice relaxation rate $T_1^{-1}$ in bulk odd-frequency superconductivity. For a model odd-frequency pairing interaction, we first evaluate the superconducting order parameter, within the framework of the combined path-integral formalism with the saddle-point approximation. We then calculate $T_1^{-1}$ below the superconducting phase transition temperature $T_{\rm c}$, to see how the odd-frequency pairing affects this physical quantity. In the odd-frequency $p$-wave state, while the so-called coherence peak is suppressed as in the even-frequency $p$-wave case, $T_1^{-1}$ is found to exhibit the Korringa-law-like behavior ($T_1^{-1}\propto T$) except just below $T_{\rm c}$, even without impurity scatterings. In the odd-frequency $s$-wave case, the behavior of $T_{1}^{-1}$ is found to be sensitive to the detailed spin structure of the superconducting order parameter: In a case, $T_1^{-1}$ is enhanced far below $T_{\rm c}$, being in contrast to the conventional (even-frequency) $s$-wave BCS case, where the coherence peak appears just below $T_{\rm c}$. We also show that the calculated $T_1^{-1}$ in the odd-frequency $p$-wave case well explains the recent experiment on CeRh$_{0.5}$Ir$_{0.5}$In$_5$, where the possibility of odd-frequency $p$-wave superconductivity was recently suggested experimentally.
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