论文标题
在稀疏的sachdev-ye-kitaev模型中的超导不稳定
Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model
论文作者
论文摘要
我们引入了Sachdev-Ye-Kitaev模型的稀疏变体，并具有有效的时间逆转对称性，可以精确地求解大量$ n $ n $自由度的极限。在低温下，其相图包括可压缩的非Fermi液体和强相关的自旋单线超导体，该旋转单线超导体显示出BCS理论预测的间隙比的可调增强。这两个阶段通过一阶跃迁分离，在附近，在应用Zeeman场时，以非零磁化为特征的无间隙超导相位，以非零的磁化为特征。我们使用晶格结构研究了此类超导体的平衡传输性能，并提出了基于拓扑绝缘体薄片的物理平台，它们可能是由排斥电子相互作用引起的。
We introduce a spinful variant of the Sachdev-Ye-Kitaev model with an effective time reversal symmetry, which can be solved exactly in the limit of a large number $N$ of degrees of freedom. At low temperature, its phase diagram includes a compressible non-Fermi liquid and a strongly-correlated spin singlet superconductor that shows a tunable enhancement of the gap ratio predicted by BCS theory. These two phases are separated by a first-order transition, in the vicinity of which a gapless superconducting phase, characterized by a non-zero magnetization, is stabilized upon applying a Zeeman field. We study equilibrium transport properties of such superconductors using a lattice construction, and propose a physical platform based on topological insulator flakes where they may arise from repulsive electronic interactions.
