Figure 8.

Periodically kicked non-Hermitian Kitaev chain [259]: (a,b) Topological phase diagrams under the PBC. (a) $(w_0,w_{\pi })$ versus the hopping amplitude J and imaginary part of onsite potential ${\mu }_i$. The real part of onsite potential and the superconducting pairing strength are ${\mu }_r=0.3\pi$ and $\Delta =0.5\pi$. Every patch with a uniform color corresponds to a non-Hermitian Floquet topological superconducting phase with the winding numbers denoted therein. (b) $(w_0,w_{\pi })$ versus the real and imaginary parts of hopping amplitude $J_r$ and $J_i$. The onsite potential and superconducting pairing strength are $\mu =0.4\pi$ and $\Delta =0.9\pi$. (c,d) Real parts of the quasienergy spectrum versus ${\mu }_i$ in (c) and $J_r$ in (d) under the OBC, with the lattice size $L=1000$. Other system parameters are $({\mu }_r,J,\Delta )=(0.3\pi ,4\pi ,0.5\pi )$ for (c) and $(\mu ,J_i,\Delta )=(0.4\pi ,1,0.9\pi )$ for (d). (e,f) show gap functions $F_0$ (blue solid lines) and $F_{\pi }$ (red dashed lines) versus ${\mu }_i$ in (e) and $J_r$ in (f) under the OBC (see Equation (167)), with the same lattice size and system parameters as for (c,d), respectively.