Superconductivity on a quasiperiodic lattice: Extended-to-localized crossover of Cooper pairs
Superconductivity on a quasiperiodic lattice: Extended-to-localized crossover of Cooper pairs
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DOI：
10.1103/physrevb.95.024509
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发表时间：
2017-01-18
影响因子：
3.7
通讯作者：
Arita, Ryotaro
中科院分区：
文献类型：
--
作者：
Sakai, Shiro;Takemori, Nayuta;Arita, Ryotaro
我们研究了一个可能的准周期系统中的超导性描绘的问题内有吸引力的哈伯德模型的彭罗斯晶格。将实空间动力学平均场理论应用于由4181个位置组成的模型，我们发现在低温下存在超导相。由于彭罗斯晶格的非周期性，超导态呈现出不均匀性。根据不均匀性的类型，超导相被分为三个相互交叉的不同区域。其中，弱耦合区表现出空间扩展的库珀对，这是不同的传统配对的两个电子具有相反的动量。
We study a possible superconductivity in quasiperiodic systems by portraying the issue within the attractive Hubbard model on a Penrose lattice. Applying a real-space dynamical mean-field theory to the model consisting of 4181 sites, we find a superconducting phase at low temperatures. Reflecting the nonperiodicity of the Penrose lattice, the superconducting state exhibits an inhomogeneity. According to the type of the inhomogeneity, the superconducting phase is categorized into three different regions which cross over each other. Among them, the weak-coupling region exhibits spatially extended Cooper pairs, which are nevertheless distinct from the conventional pairing of two electrons with opposite momenta.