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Postquench gap dynamics of two-band superconductors

机译：双频超导体的后轮廓差距动态

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Recent experimental progress in the fields of cold quantum gases and ultrafast optical spectroscopy of quantum materials allows us to controllably induce and probe nonadiabatic 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) wave function. 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 postquench multiband superconductors remain under scrutiny. Here, we develop a generalization of the Volkov-Kogan Laplace-space perturbative method that allows us to determine the nonadiabatic 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, MgB2, and SrTiO3.
机译：Quotum材料的冷量子气体和超快光学光谱域的最新实验进展使我们可控制地诱导和探测超导体和超流体的非气脂动态。通过在Bardeen-Cooper-Schrieffer（BCS）波函数内的歧管内的相干性化的单个Cooper对的叠加来确定在用晶格进行叠加之前的间隙功能的时间演变。虽然在单带BCS模型中的配对相互作用强度的突然淬火之后的动态已经完全解决了模型的可加工性，但PostQuenue Multiband超导体的动态保留在审查下。在这里，我们开发了Volkov-Kogan拉普拉斯空间扰动方法的概括，该方法允许我们确定双带完全覆盖超导体的非等级间隙动态，用于各种淬火幅度。我们的方法在间隙的稳态渐近值周围扩展了长时间动态，这是自始终确定的，而不是围绕间隙的平衡值。我们明确证明该方法恢复单频盒中的长时间间隙动态的精确解决方案，并完美地同意双频模型的数值解。我们发现，从不同频带的Cooper对的脱模导致间隙振荡与T（-3/2）的动力法更快地放松间隙振荡，而不是单一的众所周知的T（-1/2）行为乐队案例。此外，间隙振荡显示出从存在两个不同的渐近间隙值的存在而产生的跳动模式。我们的结果对各种双频超导体具有重要意义，这些超导体驱动的平衡驱动，例如铁基超导体，MgB2和SRTiO3。

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  • 来源
    《Physical review》 |2019年第14期|144513.1-144513.16|共16页
  • 作者

    Cui Tianbai; Schutt Michael; Orth Peter P.; Fernandes Rafael M.;

  • 作者单位

    Univ Minnesota Sch Phys & Astron Minneapolis MN 55455 USA;

    Paul Scherrer Inst Condensed Matter Theory Grp CH-5232 Villigen Switzerland;

    Iowa State Univ Dept Phys & Astron Ames IA 50011 USA|Ames Lab Ames IA 50011 USA;

    Univ Minnesota Sch Phys & Astron Minneapolis MN 55455 USA;

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