Phase structure of the interacting Su-Schrieffer-Heeger model and the relationship with the Gross-Neveu model on lattice
Phase structure of the interacting Su-Schrieffer-Heeger model and the relationship with the Gross-Neveu model on lattice
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DOI：
10.1103/physrevb.99.064105
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发表时间：
2018-11
影响因子：
3.7
通讯作者：
Y. Kuno
中科院分区：
文献类型：
--
作者：
Y. Kuno
研究了在光学晶格中冷原子中可实现的N味相互作用SU-Schrieffer-Heeger(I-SSH)模型。阐明了I-SSH模型与手征-格罗斯-内沃-威尔逊(CGNW)模型之间的关系。在前人高能界对CGNW模型研究的基础上，本文从CGNW模型相的角度对I-SSH模型的基态相进行了研究和解释。根据CGNW模型中手征对称性的动力学破缺的观点，对属于拓扑BDI类的I-SSH模型的相互作用效应进行了研究。此外，我们将大N=1的基态相图与精确对角化得到的大N=1的基态相图进行了比较，并提出了一个桌面冷原子量子模拟器来验证该模型。
The $N$-flavor interacting Su-Schrieffer-Heeger (i-SSH) model realizable in cold-atoms in an optical lattice is studied. We clarify the relationship between the i-SSH model and the Chiral-Gross-Neveu-Wilson (CGNW) model. Following the previous study of the CGNW model in the high-energy physics community, the groundstate phases of the i-SSH model are investigated and interpreted from the view of the phases of the CGNW model. The interaction effect on the i-SSH model, belonging to the topological BDI class, is grasped by following the view of the dynamical breakdown of chiral symmetry in the CGNW model. Furthermore, we compare the large-$N$ groundstate phase diagram with that of the $N=1$ case obtained by exact diagonalization and then propose a table-top cold-atom quantum simulator to test the model.