Topology of an anti-parity-time symmetric non-Hermitian Su-Schrieffer-Heeger model

We propose an anti-parity-time (anti-$\mathcal{PT}$) symmetric non-Hermitian Su-Schrieffer-Heeger (SSH) model, where the large non-Hermiticity constructively creates nontrivial topology and greatly expands topological phase. In anti-$\mathcal{PT}$-symmetric SSH gain loss are alternatively arranged in pairs under inversion symmetry. The appearance of degenerate point at center Brillouin zone determines phase transition, whereas exceptional points unaffect band topology. leads to unbalanced wave-function distribution broken induces Our findings can be verified through introducing dissipations every other two sites standard model even its trivial is solely induced by dissipations.