Emergence of Floquet edge states in the coupled Su-Schrieffer-Heeger model

Abstract

The emergence of non equilibrium topological phases in low dimensional systems offers an interesting route for material properties engineering. We analyze the dynamical modulation of two coupled one-dimensional chains, described by the Su-Schrieffer-Heeger model. We find that the interplay of driving interactions and interchain coupling leads to the emergence of non-equilibrium edge states with nontrivial topological properties. Using an effective Hamiltonian approach, we quantify the emergent topological phases via the winding number and show that oscillations in the mean pseudospin polarization arise as a consequence of the periodic modulation. The patterns of these pseudospin oscillations are different for the static trivial and topological phases offering a dynamical means to distinguish both physical configurations. The system also exhibits non integer values of the winding number, which have been recently reported experimentally in connection to spin textures.

22 pages, 6 figures. Published version Journal of Physics: Condensed Matter

References in corpus (9)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Classification of topological insulators and superconductors in three spatial dimensions
• Reflection symmetric second-order topological insulators and superconductors
• Topological phases in the non-Hermitian Su-Schrieffer-Heeger model
• Observation of topological surface state quantum Hall effect in an intrinsic three-dimensional topological insulator
• Irradiated graphene as a tunable Floquet topological insulator
• Topological characterizations of an extended Su-Schrieffer-Heeger model
• Anomalous dielectric response in insulators with the pi Zak phase

Cited by in corpus (3)

• Cataloging topological phases of $N$-stacked Su-Schrieffer-Heeger chains by a systematic breaking of symmetries
• Topological phase transition in commensurate multi-frequency Floquet Su-Schrieffer-Heeger model
• Emergent topological phases in an extended Su-Schrieffer-Heeger model with Rashba spin-orbit interaction, higher order hopping and domain wall