论文标题

耗偶模型中的大量Chern数字

Large Chern numbers in a dissipative dice model

论文作者

Cheng, Shujie, Xianlong, Gao

论文摘要

几十年来,量子系统中的拓扑现象一直在引起我们的注意。最近,即使存在非热性,也存在拓扑保护边缘状态的系统。在这些研究的激励下,在两个非富列案例中,研究了非铁骰子模型的拓扑特性,即。在不平衡和平衡的耗散中。我们的结果表明,拓扑阶段受到真实差距的保护,并且在实际边缘状态光谱中很容易看到。此外,我们表明,在赫尔米利亚案中,散装对应关系的原理仍然有效地分析三波段的非热系统。我们发现有拓扑的非平凡阶段,较大的Chern数字$ C = -3 $在耗散扰动方面可靠。

For decades, the topological phenomena in quantum systems have always been catching our attention. Recently, there are many interests on the systems where topologically protected edge states exist, even in the presence of non-Hermiticity. Motivated by these researches, the topological properties of a non-Hermitian dice model are studied in two non-Hermitian cases, viz. in the imbalanced and the balanced dissipations. Our results suggest that the topological phases are protected by the real gaps and the bulk-edge correspondence readily seen in the real edge-state spectra. Besides, we show that the principle of the bulk-edge correspondence in Hermitian case is still effective in analyzing the three-band non-Hermitian system. We find that there are topological non-trivial phases with large Chern numbers $C=-3$ robust against the dissipative perturbations.

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