Flat bands arising from spin-orbit assisted orbital frustration
Flat bands arising from spin-orbit assisted orbital frustration
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DOI：
10.1103/physrevb.106.235144
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发表时间：
2022-06
影响因子：
3.7
通讯作者：
Zachariah Addison;N. Trivedi
中科院分区：
文献类型：
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作者：
Zachariah Addison;N. Trivedi
我们提出了工程和发现具有平带的周期系统的一般设计原则。我们的范例利用晶格上的自旋轨道辅助轨道挫败来产生能带结构，其中包含多个窄色散能带，其带宽小于问题的所有其他能量尺度，包括平带周围的带隙。我们在具有不同细胞内自旋轨道势的各种晶格上提出了一系列一维和二维模型，这些晶格混合了晶胞中的自由度。作为基于机器学习的穷举搜索的替代方案，这些设计原理和模型可用于搜索各种物理环境中的平带系统，并可用于研究弱分散高轨道受阻自由度在系统中的作用，其中相互作用在系统的动能尺度上占主导地位。
We present general design principles for engineering and discovering periodic systems with flat bands. Our paradigm exploits spin-orbit assisted orbital frustration on a lattice to produce band structures that contain multiplets of narrowly dispersing bands whose bandwidth is smaller than all other energy scales of the problem including the band gap surrounding the flat bands. We present a series of models in 1D and 2D on various lattices with different intracellular spin-orbit like potentials that hybridize the degrees of freedom in the unit cell. As an alternative to machine learning based exhaustive searches, these design principles and models can be used to search for flat band systems in a variety of physical settings and can be used to investigate the role of weakly dispersing highly orbitally frustrated degrees of freedom in systems where the interactions dominate over the kinetic energy scales of the system.