Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
We address the conditions required for a $\mathbb{Z}$ topological classification in the most general form of the non-Hermitian Su-Schrieffer-Heeger (SSH) model. Any chirally-symmetric SSH model will possess a "conjugated-pseudo-Hermiticity" which we show is responsible for a quantized "complex" Berry phase. Consequently, we provide the first example where the complex Berry …