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Non-Hermitian pseudo-gaps.

Linhu Li1, Ching Hua Lee2

  • 1Guangdong Provincial Key Laboratory of Quantum Metrology and Sensing & School of Physics and Astronomy, Sun Yat-Sen University (Zhuhai Campus), Zhuhai 519082, China.

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|December 22, 2022
PubMed
Summary
This summary is machine-generated.

Researchers discovered a new source of pseudo-gaps in non-Hermitian lattices, arising from asymmetric pumping channels. These pseudo-gaps challenge traditional band theory and have implications for topological phenomena.

Keywords:
Bulk-boundary correspondenceEnergy gapsNon-HermiticityTopological quantum phases

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Area of Science:

  • Condensed Matter Physics
  • Topological Materials Science

Background:

  • Band gaps are fundamental in material characterization.
  • Pseudo-gaps, regions of low state density, are linked to phenomena like high-temperature superconductivity.
  • Understanding pseudo-gaps in complex systems is an active research area.

Purpose of the Study:

  • To investigate the origin of pseudo-gaps in non-Hermitian lattices with boundaries.
  • To explore the properties and implications of these novel pseudo-gaps.
  • To challenge conventional understanding of topological bulk-boundary correspondences.

Main Methods:

  • Introduction of boundaries in a non-Hermitian lattice model.
  • Analysis of spectral flow divergences in the complex energy plane.
  • Investigation of mid-gap modes and their topological properties.

Main Results:

  • A novel origin for pseudo-gaps identified due to interference of asymmetric pumping channels.
  • Pseudo-gaps exhibit unique characteristics distinct from Hermitian systems.
  • Non-Hermitian pseudo-gaps can host extended, symmetry-protected mid-gap modes sensitive to perturbations.
  • Integer edge modes observed despite fractional or undefined Chern numbers in pseudo-bands.

Conclusions:

  • Pseudo-gaps in non-Hermitian systems arise from boundary-induced spectral flow divergences.
  • These pseudo-gaps host novel topological modes with unique properties.
  • The findings challenge fundamental concepts in band theory and topological physics, with potential impacts on many-body systems.