Disorder driven topological phase transitions in 1D mechanical quasicrystals
arXiv:2407.17883 · doi:10.1016/j.physleta.2025.131192
Abstract
We examine the transition from trivial to non-trivial phases in a Su-Schrieffer-Heeger model subjected to disorder in a quasi-periodic environment. We analytically determine the phase boundary, and characterize the localization of normal modes using their inverse participation ratio. We compute energy-dependent mobility edges and provide evidence for the emergence of a topological Anderson insulator within specific parameter ranges. Whereas the phase transition boundary is affected by the quasi-periodic modulation, the topologically insulating Anderson phase is stable with respect to the chiral disorder in a quasi-periodic setup. Additionally, our results also uncover a re-entrant topological phase transition from non-trivial to trivial phases for certain values of quasi-periodic modulation with fixed chiral disorder.
20 pages, 15 figures
References in corpus (37)
- Topological Insulators
- Topological insulators and superconductors
- Topological Photonics
- Topological insulators and superconductors: ten-fold way and dimensional hierarchy
- Anderson Transitions
- Topological Acoustics
- Topological States and Adiabatic Pumping in Quasicrystals
- Observation of a phononic quadrupole topological insulator
- All-Si Valley-Hall Photonic Topological Insulator
- Topological Anderson Insulator
- Theory of the topological Anderson insulator
- Topological acoustics
- Photonic Topological Insulator in Synthetic Dimensions
- Observation of the topological Anderson insulator in disordered atomic wires
- Photonic Topological Anderson Insulators
- Numerical study of the topological Anderson insulator in HgTe/CdTe quantum wells
- Observation of topological valley modes in an elastic hexagonal lattice
- Topological Criticality in the Chiral-Symmetric AIII Class at Strong Disorder
- Robust quantum state transfer via topological edge states in superconducting qubit chains
- Reentrant Localization Transition in a Quasiperiodic Chain
- Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model
- Quantum criticality of quasi one-dimensional topological Anderson insulators
- The dependence of topological Anderson insulator on the type of disorder
- Observation of topological edge modes in a quasi-periodic acoustic waveguide
- AIII and BDI Topological Systems at Strong Disorder
- Exact new mobility edges between critical and localized states
- Topological Anderson Insulator in electric circuits
- The Aubry-André model as the hobbyhorse for understanding localization phenomenon
- Disorder-induced topological phase transition in a 1D mechanical system
- Lindblad master equation approach to the topological phase transition in the disordered Su-Schrieffer-Heeger model
- Topological Anderson insulators induced by random binary disorders
- The fate of high winding number topological phases in the disordered extended Su-Schrieffer-Heeger model
- Critical states and anomalous mobility edges in two-dimensional diagonal quasicrystals
- Exact Mobility edges and topological Anderson insulating phase in a slowly varying quasiperiodic model
- Generalization of Benalcazar-Bernevig-Hughes model to arbitrary dimensions
- Su-Schrieffer-Heeger quasicrystal: Topology, localization, and mobility edge
- Topological Anderson insulator phases in one dimensional quasi-periodic mechanical SSH chains