Disorder-Enhanced Corner State and Topological Corner State Transfer in a 2D Rice-Mele Lattice

The corner states in the 2D Su-Schrieffer-Heeger (SSH) lattice are usually sensitive to disorder. It is shown that the uniform disorder and exponentially decayed disorder both can enhance the localizations of the corner states when the alternative onsite energy is introduced into the 2D SSH lattice mapped by superconducting circuit. The enhanced corner states originate from the fluctuations of onsite energy induced by disorders, which gives an example of utilizing the harmful resources to induce the corner states. Furthermore, different from the traditional topological state transfer based on the usual topological boundary states, it is shown that the high order topological corner state transfer can also be implemented in present lattice via adding the special long-range hopping. The topological corner state transfer demonstrates the feasibility of using topological corner state to transfer quantum information, which supplies the relevant investigations on the applications of high order topological state in quantum information processing.