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arXiv 2005.03127cond-mat.supr-con
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弱耦合准周期超导体的物理性质

Physical properties of weak-coupling quasiperiodic superconductors

Nayuta Takemori, Ryotaro Arita, Shiro Sakai

摘要:

我们用数值方法研究准周期超导体的物理性质,目的是为了理解准晶体中的超导性。考虑彭罗斯镶嵌上的吸引人的哈伯德模型作为一个简单的理论模型,我们计算了各种基本的超导性质,并发现偏离Bardeen-Cooper-Schrieffer理论的普遍值。特别地,我们发现超导转变时比热的跃变比普遍值小10-20%,这与对超导Al-Mg-Zn准晶合金的实验结果一致。此外,我们计算的电流-电压特性,并发现电流逐渐增加的彭罗斯瓷砖上的电压在周期性系统中的快速增加。这些区别源于准周期系统的非平凡库珀配对特性。

英文摘要:

We numerically study the physical properties of quasiperiodic superconductors with the aim of understanding superconductivity in quasicrystals. Considering the attractive Hubbard model on the Penrose tiling as a simple theoretical model, we calculate various basic superconducting properties and find deviations from the universal values of the Bardeen-Cooper-Schrieffer theory. In particular, we find that the jump of the specific heat at the superconducting transition is about 10-20% smaller than that universal value, in consistency with the experimental results obtained for the superconducting Al-Mg-Zn quasicrystalline alloy. Furthermore, we calculate current-voltage characteristics and find that the current gradually increases with the voltage on the Penrose tiling in contrast to a rapid increase in the periodic system. These distinctions originate from the nontrivial Cooper pairing characteristic to the quasiperiodic system.

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