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Alex Y Song1, Xiao-Qi Sun2, Avik Dutt1

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We discovered a novel non-Hermitian topological effect where only edge states exhibit complex eigenvalues in uniform materials. This robust effect has potential applications in creating topological lasers on standard photonic platforms.

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Area of Science:

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

Background:

  • Topological materials exhibit unique properties protected by topology.
  • Non-Hermitian systems are crucial for understanding open quantum systems and gain/loss phenomena.

Purpose of the Study:

  • To demonstrate a novel non-Hermitian topological effect with complex eigenvalues localized in edge states.
  • To explore the potential of this effect for realizing topological lasers.

Main Methods:

  • Theoretical demonstration of the non-Hermitian topological effect.
  • Utilizing gapped subsystems with non-Hermitian coupling, exemplified by a quantum spin-Hall system.

Main Results:

  • Complex eigenvalues are exclusively found in the edge states of a uniform topological material.
  • The complex-eigenvalued edge state demonstrates robustness against defects due to topological protection.

Conclusions:

  • The demonstrated non-Hermitian topological effect offers a new paradigm for topological phenomena.
  • This effect enables the development of reciprocal topological lasers compatible with standard photonic platforms.