论文标题
SYK超导性：量子库拉莫托和广义理查森模型
SYK Superconductivity: Quantum Kuramoto and Generalized Richardson Models
论文作者
论文摘要
Sachdev-Ye-Kitaev（SYK）模型已成为非富型液体行为的新范式。在这里，我们研究了SYK框架内具有超导偏置远程长度（ODLRO）和伪阶段的可能性。我们发现，可以在模型的Spin-1/2版本中建立ODLRO，并具有时间反转的不变性和更具吸引力的相互作用。如果将后者视为现场负 - $ u $ hubbard术语，则以$ u <u_c $为主导的当地阶段的量子波动所主导的伪gap阶段。这些波动是通过库拉马托模型的量子版本来描述的，传统上用来说明经典非线性振荡器的同步。在大型$ U $的相反限制下，Syk+Hubbard模型正在接近可集成的Richardson模型的一定概括。我们提供了确切的对角研究，以及上述限制病例的分析解决方案。我们还讨论了该模型ODLRO和伪群的可能的全息解释。
Sachdev-Ye-Kitaev (SYK) model has emerged as a new paradigm of the non-Fermi-liquid behavior. Here we investigate a possibility of having a superconducting off-diagonal long-range order (ODLRO) and a pseudogap phase within the SYK framework. We found that ODLRO may be established in spin-1/2 version of the model with the time-reversal invariance and an extra attractive interaction. If the latter is taken as the on-site negative-$U$ Hubbard term, it leads to the pseudogap phase at $U<U_c$ dominated by quantum fluctuations of local phases. These fluctuations are described by a quantum version of the Kuramoto model, traditionally employed to illustrate synchronization of classical non-linear oscillators. In the opposite limit of large $U$, the SYK+Hubbard model is approaching a certain generalization of the integrable Richardson model. We present exact diagonalization studies, along with analytic solutions of the aforementioned limiting cases. We also discuss possible holographic interpretations of the model, ODLRO and the pseudogap.
