强电子-声子耦合超导体中集体振幅模的阻尼
Damping of the Collective Amplitude Mode in Superconductors with Strong Electron-Phonon Coupling
摘要：
利用Holstein模型的非平衡动力学平均场模拟，研究了强电子-声子相互作用对超导体中Higgs振幅模阻尼的影响.与BCS动力学相反，我们发现Higgs模式的阻尼强烈依赖于温度，随着系统接近转变温度而变得更快。在低温下的阻尼很好地描述了幂律，而在转变温度附近的阻尼表现出类似指数的行为。我们解释了这种交叉的温度依赖性的准粒子寿命所造成的强电子-声子耦合，涂抹的超导能隙的边缘，并使弛豫的希格斯模式到准粒子更有效地在高温下。我们还发现，声子动力学可以软化的希格斯模式，这导致在一个较慢的阻尼。
英文摘要：
We study the effect of strong electron-phonon interactions on the damping of the Higgs amplitude mode in superconductors by means of non-equilibrium dynamical mean-field simulations of the Holstein model. In contrast to the BCS dynamics, we find that the damping of the Higgs mode strongly depends on the temperature, becoming faster as the systen approaches the transition temperature. The damping at low temperatures is well described by a power-law, while near the transition temperature the damping shows exponential-like behavior. We explain this crossover by a temperature-dependent quasiparticle lifetime caused by the strong electron- phonon coupling, which smears the superconducting gap edge and makes the relaxation of the Higgs mode into quasiparticles more efficient at elevated temperatures. We also reveal that the phonon dynamics can soften the Higgs mode, which results in a slower damping.
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