论文标题
薄膜超导形状共振的周期性
Periodicity of superconducting shape resonances in thin films
论文作者
论文摘要
在Bardeen-Cooper-Schrieffer理论中，超导薄膜的配对温度预计将显示出振荡，这是膜厚度的函数。我们表明，这些振荡的模式在超导耦合的密度依赖性值下在两个不同的周期性之间进行切换。在抗绝热状态下，Fermi能量小于Debye Energy，过渡最突然。为了支持我们的数值数据，我们为化学电位和配对温度作为厚度的函数提供了新的分析表达式，这仅与指数级的校正在弱耦合下的精确溶液不同。
The pairing temperature of superconducting thin films is expected to display, within the Bardeen-Cooper-Schrieffer theory, oscillations as a function of the film thickness. We show that the pattern of these oscillations switches between two different periodicities at a density-dependent value of the superconducting coupling. The transition is most abrupt in the anti-adiabatic regime, where the Fermi energy is less than the Debye energy. To support our numerical data, we provide new analytical expressions for the chemical potential and the pairing temperature as a function of thickness, which only differ from the exact solution at weak coupling by exponentially-small corrections.
