Photoinduced ferromagnetic and superconducting orders in multiorbital Hubbard models

Abstract- The search for hidden orders in photoexcited lattice systems is an active research field driven by experimental reports of light-induced or light-stabilized phases. In this study, we investigate hidden electronic orders in strongly correlated two-orbital Hubbard models with orbital-dependent bandwidths. In equilibrium, the half-filled systems are antiferromagnetically ordered. Using non-equilibrium dynamical mean field theory we demonstrate the appearance of nonthermal ferromagnetic order in the photo-doped state, if the two bandwidths are sufficiently different, and its coexistence with spin-singlet $\eta$-superconductivity in the high photo-doping region. Spin-triplet $\eta$-superconducting order appears instead if the two bandwidths are comparable. The rich nonequilibrium phasediagram uncovered in this work shows that Mott insulating multi-orbital systems provide an interesting platform for the realization of nonthermal electronic orders. 

This data base provides plotting script, data and/or data for

all the figures of the above publication (DOI: 10.1103/PhysRevB.110.L041109)

The plotting script is written in MATLAB

Acknowledgements - We thank Y. Murakami for helpful comments on the manuscript and the Swiss National Science Foundation for the funding (Grant No. 200021-196966). The nonequilibrium DMFT calculations are based on the NESSi library. and the NESS simulations on a code originally developed by J. Li and M. Eckstein. The calculations were run on the beo06 cluster at the University of Fribourg.

**摘要**：光激发晶格系统中的隐藏序研究是一个活跃的前沿领域，其研究动力源于光诱导或光稳定相的实验报道。本研究针对具有轨道依赖带宽的强关联双轨道哈伯德（Hubbard）模型中的电子隐藏序展开探究。平衡态下，半填充体系呈现反铁磁有序。本研究采用非平衡动力学平均场理论（Dynamical Mean Field Theory, DMFT），证明当两个轨道的带宽差异足够大时，光掺杂态中会出现非热铁磁有序，且在高光掺杂区域，该有序会与自旋单重态η超导电性共存；若两个轨道带宽相近，则会出现自旋三重态η超导电性有序。本研究揭示的丰富非平衡相图表明，莫特绝缘多轨道体系是实现非热电子有序的极具潜力的研究平台。

本数据集包含上述发表论文（DOI: 10.1103/PhysRevB.110.L041109）中所有图表的绘图脚本及相关数据。绘图脚本采用MATLAB语言编写。

**致谢**：感谢Y. Murakami对本文手稿提出的宝贵意见，感谢瑞士国家科学基金会（资助编号：200021-196966）的经费支持。本研究的非平衡DMFT计算基于NESSi库完成，NESS模拟则采用由J. Li与M. Eckstein最初开发的代码。所有计算均在弗里堡大学的beo06计算集群上完成。