Topological insulation in a ladder model with particle-hole and reflection symmetries

Abstract

A two-legged ladder model, one dimensional, exhibiting the parity anomaly is constructed. The model belongs to the $C$ and $CI$ symmetry classes, depending on the parameters, but, due to reflection, it exhibits topological insulation. The model consists of two superimposed Creutz models with onsite potentials. The topological invariants for both cases are {\it mirror winding numbers,} which are nonzero individually in the topological phase, but sum to zero overall in both phases. We demonstrate the presence of edge states and quantized Hall response in the topological region. Our model exhibits two distinct topological regions, distinguished by the different types of reflection symmetries.

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Cited by in corpus (8)

• Interacting topological insulators: a review
• Floquet topological phases with fourfold-degenerate edge modes in a driven spin-1/2 Creutz ladder
• Non-Hermitian Floquet phases with even-integer topological invariants in a periodically quenched two-leg ladder
• Extended Creutz ladder with spin-orbit coupling: a one-dimensional analog of the Kane-Mele model
• Catalog of noninteracting tight-binding models with two energy bands in one dimension
• Cataloging topological phases of $N$-stacked Su-Schrieffer-Heeger chains by a systematic breaking of symmetries
• Topological defect-mediated corner states and higher-order bulk topology in a two-dimensional crystalline insulator
• Emergent topological phases in an extended Su-Schrieffer-Heeger model with Rashba spin-orbit interaction, higher order hopping and domain wall