Hidden-symmetry-protected topological phases on a one-dimensional lattice

Abstract

We demonstrate the existence of topologically nontrivial phase in a one-dimensional fermionic lattice system subjected to synthetic gauge fields, which is beyond the standard Altland-Zirnbauer classification of topological insulators. The topological phase can be characterized by the presence of degenerate zero-mode edge states or a quantized Berry phase of the occupied Bloch band. By analyzing symmetries of the system, we identify that the topological phase and zero-mode edge states are protected by two hidden symmetries. An extended model with hidden symmetry breaking is also studied in order to reveal the effect of hidden symmetries on the symmetry protected topological phase.

6 pages, 5 figures

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• Engineering topological phases with a three-dimensional nodal-loop semimetal
• Topological properties of a generalized spin-orbit-coupled Su-Schrieffer-Heeger model
• Strain topological metamaterials
• Topological properties of non-Hermitian Creutz Ladders
• Edge States with Hidden Topology in Spinner Lattices
• Hidden topology in flat-band topological insulators: Strong, weak and square-root topological states
• Tunable zero modes and quantum interferences in flat-band topological insulators