论文标题
准周期性晶体增强的超导性
Enhanced Superconductivity in Quasi-periodic Crystals
论文作者
论文摘要
我们研究了一个具有$ S $ - 波配对相互作用的一维不合命系统的家族中的超导性。不稳定的势可以改变正常状态中电子的空间特性，从而导致扩展，关键或局部波函数。我们发现，当电子波函数表现出关键的多重分子结构时，超导率显着增强。这种临界性也体现在超导温度对配对强度的幂律依赖性中。结果，预计将围绕定位范围的转变存在扩展的超导域，这可以通过调整不均质电势的幅度或通过跨移动性边缘改变化学电位来诱导。因此，我们的结果提出了一种新的方法，可以通过工程化的不构型潜力来增强过渡温度。
We study superconductivity in a family of one dimensional incommensurate system with $s$-wave pairing interaction. The incommensurate potential can alter the spatial characteristics of electrons in the normal state, leading to either extended, critical, or localized wave functions. We find that superconductivity is significantly enhanced when the electronic wave function exhibits a critical multifractal structure. This criticality also manifests itself in the power-law dependence of superconducting temperature on the pairing strength. As a consequence, an extended superconducting domain is expected to exist around the localization-delocalization transition, which can be induced by either tuning the amplitude of the incommensurate potential, or by varying the chemical potential across a mobility edge. Our results thus suggest a novel approach to enhance superconducting transition temperature through engineering of incommensurate potential.
