论文标题
合成抗铁磁模式的玻色石霍夫史塔特蝴蝶
Bosonic Hofstadter butterflies in synthetic antiferromagnetic patterns
论文作者
论文摘要
从理论上讲，在合成规范场抗铁磁模式中，霍夫史塔特蝴蝶出现了玻色子。我们报告了一个特定的人造抗铁磁结构的特定紧密结合模型，该结构融合了最接近和近代的邻居隧道，即使通过晶格消失的仪表场通量也可以形成分形光谱。该模型应用于方形和蜂窝晶格。建议通过波导连接的微孔谐振器的晶格提出了可能的实验实现。最后，分析了铁磁性和抗铁磁磁模式的磁性布鲁因区域的不同点的蝴蝶结构。
The emergence of Hofstadter butterflies for bosons in synthetic-gauge-field antiferromagnetic patterns is theoretically studied. We report on a specific tight-binding model of artificial antiferromagnetic structures incorporating both nearest and next-to-nearest neighbour tunnelings and allowing for the formation of the fractal spectra even with the vanishing gauge field flux through the lattice. The model is applied to square and honeycomb lattices. Possible experimental realization is suggested for the lattices of microring resonators connected by waveguides. Finally, the structure of the butterflies is analyzed for different points in the magnetic Brillouin zone for both the ferromagnetic and antiferromagnetic patterns.
