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Area of Science:

  • Condensed Matter Physics
  • Topological Systems
  • Non-Hermitian Physics

Background:

  • Percolation phenomena are typically linked to critical phase transitions.
  • Non-Hermitian systems and PT symmetry breaking are areas of active research.
  • Topological systems offer unique edge states with potential for novel dynamics.

Purpose of the Study:

  • To explore the role of percolation in the asymptotic dynamics of non-Hermitian systems.
  • To introduce a mechanism of topologically guided gain.
  • To investigate the interplay of chiral topology, directed gain, and interlayer tunneling.

Main Methods:

  • Designed a mechanism of topologically guided gain for chiral edge wave packets.
  • Analyzed the effect of percolation transitions on topological islands.
  • Studied the spectral properties (real to complex transition) of the system.

Main Results:

  • Percolation can dictate asymptotic dynamics in non-Hermitian systems by breaking PT symmetry.
  • Topologically guided gain leads to irreversible growth in wide topological islands due to interlayer tunneling.
  • Percolation transitions drive edge spectra from real to complex.

Conclusions:

  • The study reveals novel dynamical consequences arising from the interplay of topology, gain, and tunneling.
  • Percolation transitions can be a key factor in non-Hermitian system dynamics.
  • Suggests new avenues for harnessing topology in feedback system control.