Stability of topological solitons in SSH Model under non-Hermitian deformations

Vikash Mittal^1*, Yi-Ping Huang¹

¹Department of Physics, National Tsing Hua University, Hsinchu, Taiwan

* Presenter:Vikash Mittal, email:vikashmittal.iiser@gmail.com

The SSH model, describing a one-dimensional chain of atoms or sites with alternating coupling
strengths, exhibits topological solitons in the form of domain walls or edge states. These topological
solitons are the results of the topological nature of the SSH model, and different symmetries can protect
the existence and stability of these solitons. In this work, we explore the effects of non-Hermitian
perturbations on the stability and behaviour of these solitons by investigating the symmetries of the
underlying system. Furthermore, we explore the interplay between non-Hermitian perturbations
and other external parameters, such as disorder or lattice modifications. We investigate how these
additional factors affect the robustness and stability of the topological solitons and their associated
edge states in different configurations of soliton defects in the SSH model.

Keywords: ssh model, solitons, edge states, symmetries