Oh Chang-Geun, Han Sang-Hoon, Jeong Seung-Gyo, Kim Tae-Hwan, Cheon Sangmo
Research Institute for Natural Sciences, Hanyang University, Seoul, 04763, Korea.
Department of Physics, Hanyang University, Seoul, 04763, Korea.
Sci Rep. 2021 Jan 13;11(1):1013. doi: 10.1038/s41598-020-80085-8.
Although a prototypical Su-Schrieffer-Heeger (SSH) soliton exhibits various important topological concepts including particle-antiparticle (PA) symmetry and fractional fermion charges, there have been only few advances in exploring such properties of topological solitons beyond the SSH model. Here, by considering a chirally extended double-Peierls-chain model, we demonstrate novel PA duality and fractional charge e/2 of topological chiral solitons even under the chiral symmetry breaking. This provides a counterexample to the belief that chiral symmetry is necessary for such PA relation and fractionalization of topological solitons in a time-reversal invariant topological system. Furthermore, we discover that topological chiral solitons are re-fractionalized into two subsolitons which also satisfy the PA duality. As a result, such dualities and fractionalizations support the topological [Formula: see text] algebraic structures. Our findings will inspire researches seeking feasible and promising topological systems, which may lead to new practical applications such as solitronics.
尽管典型的苏-施里弗-黑格（SSH）孤子展现出各种重要的拓扑概念，包括粒子-反粒子（PA）对称性和分数费米子电荷，但在探索SSH模型之外的拓扑孤子的此类性质方面进展甚微。在此，通过考虑一个手性扩展的双佩尔斯链模型，我们证明了即使在手性对称性破缺的情况下，拓扑手性孤子仍具有新颖的PA对偶性和分数电荷e/2。这为时间反演不变拓扑系统中拓扑孤子的这种PA关系和分数化需要手性对称性这一观点提供了一个反例。此外，我们发现拓扑手性孤子会重新分数化为两个也满足PA对偶性的子孤子。因此，这种对偶性和分数化支持了拓扑[公式：见正文]代数结构。我们的发现将激发对寻求可行且有前景的拓扑系统的研究，这可能会带来诸如孤子电子学等新的实际应用。
