Nonlinearity-induced transition in the nonlinear Su-Schrieffer-Heeger model and a nonlinear higher-order topological system

  title={Nonlinearity-induced transition in the nonlinear Su-Schrieffer-Heeger model and a nonlinear higher-order topological system},
  author={Motohiko Ezawa},
  journal={Physical Review B},
  • M. Ezawa
  • Published 13 October 2021
  • Physics
  • Physical Review B
We study the topological physics in nonlinear Schrödinger systems on lattices. We employ the quench dynamics to explore the phase diagram, where a pulse is given to a lattice point and we analyze its time evolution. There are two system parameters λ and ξ, where λ controls the hoppings between the neighboring links and ξ controls the nonlinearity. The dynamics crucially depends on these system parameters. Based on analytical and numerical studies, we derive the phase diagram of the nonlinear Su… 
1 Citations

Figures from this paper

Quantum transport in nonlinear Rudner-Levitov models
Lei Du, Jin-Hui Wu, M. Artoni, ∗ and G. C. La Rocca † Beijing Computational Science Research Center, Beijing 100193, China Center for Quantum Sciences and School of Physics, Northeast Normal


Transition to chaos in discrete nonlinear Schrödinger equation with long-range interaction
Discrete nonlinear Schrodinger (DNLS) equation describes a chain of oscillators with nearest-neighbor interactions and a specific nonlinear term. We consider its modification with long-range
Nonlinear second-order photonic topological insulators
Higher-order topological insulators are a novel topological phase beyond the framework of conventional bulk–boundary correspondence1,2. In these peculiar systems, the topologically non-trivial
Nonlinear topological states in the Su-Schrieffer-Heeger model
Topological photonics offers unique functionalities in light manipulation at the nanoscale by means of the so-called topological states which are robust against various forms of disorder. One of the
Lasing in topological edge states of a one-dimensional lattice
Topology describes properties that remain unaffected by smooth distortions. Its main hallmark is the emergence of edge states localized at the boundary between regions characterized by distinct
Acoustic higher-order topological insulator on a kagome lattice
A second-order topological insulator in an acoustical metamaterial with a breathing kagome lattice, supporting one-dimensional edge states and zero-dimensional corner states is demonstrated, and shape dependence allows corner states to act as topologically protected but reconfigurable local resonances.
Observation of phononic helical edge states in a mechanical topological insulator
The collective behavior of mechanical oscillators exhibiting the phenomenology of the quantum spin Hall effect is characterized, and the phononic edge modes are shown to be helical, and this may enable the design of topological acoustic metamaterials that can capitalize on the stability of the surface phonons as reliable wave guides.
Optical isolation with nonlinear topological photonics
It is shown that the concept of topological phase transitions can be used to design nonlinear photonic structures exhibiting power thresholds and discontinuities in their transmittance. This provides
Self-induced topological protection in nonlinear circuit arrays
The interplay between topology and many-body physics has been a topic of strong interest in condensed matter physics for several years. For electronic systems, research has so far focused on linear
Observation of higher-order topological acoustic states protected by generalized chiral symmetry
It is demonstrated theoretically and experimentally that 3D-printed two-dimensional acoustic meta-structures can possess nontrivial bulk topological polarization and host one-dimensional edge and Wannier-type second-order zero-dimensional corner states with unique acoustic properties, and offer possibilities for advanced control of the propagation and manipulation of sound, including within the radiative continuum.
Topologically enhanced harmonic generation in a nonlinear transmission line metamaterial
It is shown that a topological edge mode at the first harmonic can produce strong propagating higher-harmonic signals, acting as a nonlocal cross-phase nonlinearity in a left-handed NLTL analogue of the Su-Schrieffer-Heeger lattice.