Topological phases, topological flat bands, and topological excitations in a one-dimensional dimerized lattice with spin-orbit coupling

Abstract

The Su-Schrieffer-Heeger (SSH) model describes a one-dimensional $Z_2$ topological insulator, which has two topological distinct phases corresponding to two different dimerizations. When spin-orbit coupling is introduced into the SSH model, we find the structure of the Bloch bands can be greatly changed, and most interestingly, a new topological phase with single zero-energy bound state which exhibits non-Abelian statistics at each end emerges, which suggests that a new topological invariant is needed to fully classify all phases. In a comparatively large range of parameters, we find that spin-orbit coupling induces completely flat band with nontrivial topology. For the case with non-uniform dimerizaton, we find that spin-orbit coupling changes the symmetrical structure of topological excitations known as solitons and antisolitons and when spin-orbit coupling is strong enough to induce a topological phase transition, the whole system is topologically nontrivial but with the disappearance of solitons and antisolitons, consequently, the system is a real topological insulator with well-protected end states.

5 pages, 2 figures

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Cited by in corpus (11)

• Flat band separation and robust spin-Berry curvature in bilayer kagome metals
• Topological properties of subsystem-symmetry-protected edge states in an extended quasi-one-dimensional dimerized lattice
• Topological properties of a generalized spin-orbit-coupled Su-Schrieffer-Heeger model
• Tailoring flat bands and topological phases in a multi-strand Creutz network
• Topological phases of commensurate or incommensurate non-Hermitian Su-Schrieffer-Heeger lattices
• Wannier solitons in spin-orbit-coupled Bose-Einstein condensates in optical lattices with a flat-band
• Topological states and interplay between spin-orbit and Zeeman interactions in a spinful Su-Schrieffer-Heeger nanowire
• A NOT operation on Majorana qubits with mobilizable solitons in an extended Su-Schrieffer-Heeger model
• Effects of correlations on phase diagrams of the two-dimensional Su-Schrieffer-Heeger model with the longer-range hoppings
• Emergence of Topological Non-Fermi Liquid Phases in a Modified Su-Schrieffer-Heeger Chain with Long-Range Interactions
• Tunable zero modes and quantum interferences in flat-band topological insulators