拓扑Fulde-Ferrell-Larkin-Ovchinnikov位相中的配对对称性、Phase diagram和边缘模
Pairing Symmetry, Phase diagram and Edge Modes in Topological Fulde-Ferrell-Larkin-Ovchinnikov Phase
摘要：
冷原子中自旋轨道耦合的实现引发了对超冷原子系统拓扑问题的探索。最近的理论预测表明，拓扑Fulde-Ferrell-Larkin-Ovchinnikov（FFLO）超流体可以实现适当的自旋轨道耦合和塞曼场。在这项工作中，对这种新的拓扑物质的对称性，相图和边缘模式的全面理解。库珀对的动量对面内塞曼场和化学势起着重整化的作用。面内塞曼场和有限动量配对诱导不对称的有效$p$ -波配对，除了一小部分更高的轨道组件。相图由不同的相组成，这些相由超流体的拓扑结构和带隙性质决定。特别是，带隙和无隙拓扑FFLO相位具有完全不同的有限尺寸效应。这些新的特征表明，自旋-轨道耦合冷原子在实现拓扑物质，可能无法与固体物质提供了一个重要的平台。
英文摘要：
The realizations of spin-orbit coupling in cold atoms lead to a burst of research activities in the searching of topological matters in ultracold atom systems. The very recent theoretical predictions show that topological Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superfluids can be realized with proper spin-orbit coupling and Zeeman fields. In this work, a comprehensive understanding of the pairing symmetry, phase diagram and the edge modes in this new topological matter are presented. The momentum of the Cooper pairs plays the role of renormalizing the in-plane Zeeman field and chemical potential. The in-plane Zeeman field and finite momentum pairing induce asymmetry to the effective $p$-wave pairing, apart from a small fraction of higher orbital components. The phase diagram is composed by different phases, which are determined by the topology and band gap nature of the superfluids. Especially, the gapped and gapless topological FFLO phase have totally different finite size effect. These novel features show that the spin-orbit coupled cold atoms provides an important platform in realizing topological matters which may not be materialized with solids.
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