Topological interface states mediated by spontaneous symmetry breaking
arXiv:1802.01087 · doi:10.1103/PhysRevB.98.045415
Abstract
We propose a one-dimensional nonlinear system of coupled anharmonic oscillators that dynamically undergoes a topological transition switching from the {disordered} and topologically trivial phase into the nontrivial one due to the spontaneous symmetry breaking. The topological transition is accompanied by the formation of the topological interface state in the spectrum of linearized excitations of the stationary phase. Our findings thus highlight the potential of the nonlinear systems for hosting the topological phases and uncover a fundamental link between the spontaneous symmetry breaking mechanism and topological edge states.
arXiv comment5 pages, 4 figures + Supplementary
References in corpus (28)
- Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
- Topological Photonics
- Topologically protected midgap states in complex photonic lattices
- Edge Solitons in Nonlinear Photonic Topological Insulators
- Detection of Zak phases and topological invariants in a chiral quantum walk of twisted photons
- Buckling-Induced Kirigami
- Nonlinear conduction via solitons in a topological mechanical insulator
- Polariton Topological Insulator
- Topological Phases of Sound and Light
- Spontaneous creation of Kibble-Zurek solitons in a Bose-Einstein condensate
- Selective buckling via states of self-stress in topological metamaterials
- Self-induced topological transitions and edge states supported by nonlinear staggered potentials
- Coupled-mode theory for Bose-Einstein condensates
- Topological characterization of chiral models through their long time dynamics
- Chiral Bogoliubons in Nonlinear Bosonic Systems
- Optical isolation with nonlinear topological photonics
- Kibble-Zurek mechanism in topologically non-trivial zigzag chains of polariton micropillars
- Radiative coupling and weak lasing of exciton-polariton condensates
- Two-body physics in the Su-Schrieffer-Heeger model
- Topological edge states of bound photon pairs
- Chirality of topological gap solitons in bosonic dimer chains
- Dynamical Majorana Edge Modes in a Broad Class of Topological Mechanical Systems
- Symmetry Breaking in Linearly Coupled Dynamical Lattices
- Formation of helical ion chains
- Structure, dynamics and bifurcations of discrete solitons in trapped ion crystals
- Spontaneous polariton currents in periodic lateral chains
- Spontaneous and Superfluid Chiral Edge States in Exciton-Polariton Condensates
- Topologically-enforced bifurcations in superconducting circuits
Cited by in corpus (5)
- Observation and control of nonlinear electromagnetic topological edge states
- Stability of topological edge states under strong nonlinear effects
- Self-induced topological transition in phononic crystals by nonlinearity management
- Nonlinear Corner States in Topologically Nontrivial Kagome Lattice
- Exciton transport enhancement across quantum Su-Schrieffer-Heeger lattices with quartic nonlinearity