Patients with heart failure(HF)often have a poor prognosis,with high morbidity and mortality.In the Chinese adult population,the prevalence of HF increased by 44%in the past 15 years,which was1.3%[1].HF is often assoc...Patients with heart failure(HF)often have a poor prognosis,with high morbidity and mortality.In the Chinese adult population,the prevalence of HF increased by 44%in the past 15 years,which was1.3%[1].HF is often associated with multiple organ disorders[2].展开更多
We concentrate on the skin effects and topological properties in the multilayer non-Hermitian Su−Schrieffer−Heeger (SSH) structure, by taking into account the nonreciprocal couplings between the different sublattices ...We concentrate on the skin effects and topological properties in the multilayer non-Hermitian Su−Schrieffer−Heeger (SSH) structure, by taking into account the nonreciprocal couplings between the different sublattices in the unit cells. Following the detailed demonstration of the theoretical method, we find that in this system, the skin effects and topological phase transitions induced by nonreciprocal couplings display the apparent parity effect, following the increase of the layer number of this SSH structure. On the one hand, the skin effect is determined by the parity of the layer number of this SSH system, as well as the parity of the band index of the bulk states. On the other hand, for the topological edge modes, such an interesting parity effect can also be observed clearly. Next, when the parameter disorders are taken into account, the zero-energy edge modes in the odd-layer structures tend to be more robust, whereas the other edge modes are easy to be destroyed. In view of these results, it can be ascertained that the findings in this work promote to understand the influences of nonreciprocal couplings on the skin effects and topological properties in the multilayer SSH lattices.展开更多
文摘Patients with heart failure(HF)often have a poor prognosis,with high morbidity and mortality.In the Chinese adult population,the prevalence of HF increased by 44%in the past 15 years,which was1.3%[1].HF is often associated with multiple organ disorders[2].
基金the LiaoNing Revitalization Talents Program(Grant No.XLYC1907033)the National Natural Science Foundation of China(Grant No.11905027)+1 种基金the Natural Science Foundation of Liaoning province(Grant No.2023-MS-072)Fundamental Research Funds for the Central Universities of Ministry of Education of China(Grant Nos.N2209005 and N2205015).
文摘We concentrate on the skin effects and topological properties in the multilayer non-Hermitian Su−Schrieffer−Heeger (SSH) structure, by taking into account the nonreciprocal couplings between the different sublattices in the unit cells. Following the detailed demonstration of the theoretical method, we find that in this system, the skin effects and topological phase transitions induced by nonreciprocal couplings display the apparent parity effect, following the increase of the layer number of this SSH structure. On the one hand, the skin effect is determined by the parity of the layer number of this SSH system, as well as the parity of the band index of the bulk states. On the other hand, for the topological edge modes, such an interesting parity effect can also be observed clearly. Next, when the parameter disorders are taken into account, the zero-energy edge modes in the odd-layer structures tend to be more robust, whereas the other edge modes are easy to be destroyed. In view of these results, it can be ascertained that the findings in this work promote to understand the influences of nonreciprocal couplings on the skin effects and topological properties in the multilayer SSH lattices.