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arXiv 1908.06125cond-mat.supr-concond-mat.str-el
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双带超导体的猝灭后能隙动力学

Post-quench gap dynamics of two-band superconductors

Tianbai Cui, Michael Schütt, Peter P. Orth, Rafael M. Fernandes

摘要:

最近在冷量子气体和量子材料的超快光谱学领域的实验进展允许可控地诱导和探测超导体和超流体的非绝热动力学。在晶格弛豫之前,间隙函数的时间演化由Bardeen-Cooper-Schrieffer(BCS)波函数流形内相干演化的单个库珀对的叠加决定。由于模型的可积性,单带BCS模型中配对相互作用强度突然猝灭后的动力学已经得到了精确的解决,但猝灭后多带超导体的动力学仍在研究中。在这里,我们开发了一个概括的的Kogov-Kogan拉普拉斯空间微扰方法,使我们能够确定的非绝热间隙动力学的两个带完全带隙超导体的宽范围的淬火振幅。我们的方法扩展了长期动态的间隙,这是自洽确定的,而不是围绕平衡值的差距的稳态渐近值。我们明确地表明,这种方法恢复的单带情况下的长时间间隙动力学的精确解,并完全同意的两带模型的数值解。我们发现,从不同的频带的库珀对的退相导致更快的碰撞无松弛的间隙振荡与幂律的$t^{-3/2}$,而不是众所周知的$t^{-1/2}$行为中发现的单带的情况下。此外,间隙振荡显示由两个不同的渐近间隙值的存在所产生的拍频模式。我们的结果对各种脱离平衡的双带超导体具有重要影响,例如铁基超导体、MgB $_{2}$和SrTiO $_{3}$。

英文摘要:

Recent experimental progress in the fields of cold quantum gases and ultrafast optical spectroscopy of quantum materials allows to controllably induce and probe non-adiabatic dynamics of superconductors and superfluids. The time-evolution of the gap function before relaxation with the lattice is determined by the superposition of coherently evolving individual Cooper pairs within the manifold of the Bardeen-Cooper-Schrieffer (BCS) wavefunction. While dynamics following an abrupt quench of the pairing interaction strength in the single-band BCS model has been exactly solved due to the integrability of the model, the dynamics of post-quench multi-band superconductors remain under scrutiny. Here, we develop a generalization of the Volkov-Kogan Laplace-space perturbative method that allows us to determine the non-adiabatic gap dynamics of two-band fully gapped superconductors for a wide range of quench amplitudes. Our approach expands the long-time dynamics around the steady-state asymptotic value of the gap, which is self-consistently determined, rather than around the equilibrium value of the gap. We explicitly demonstrate that this method recovers the exact solution of the long-time gap dynamics in the single-band case and perfectly agrees with a numerical solution of the two-band model. We discover that dephasing of Cooper pairs from different bands leads to faster collisionless relaxation of the gap oscillation with a power-law of $t^{-3/2}$ instead of the well-known $t^{-1/2}$ behavior found in the single-band case. Furthermore, the gap oscillations display beating patterns arising from the existence of two different asymptotic gap values. Our results have important implications to a variety of two-band superconductors driven out of equilibrium, such as iron-based superconductors, MgB$_{2}$, and SrTiO$_{3}$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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