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Critical non-Hermitian skin effect.

Linhu Li1, Ching Hua Lee2, Sen Mu3

  • 1Department of Physics, National University of Singapore, Singapore, 117542, Singapore. rubilacxelee@gmail.com.

Nature Communications
|October 31, 2020
PubMed
Summary
This summary is machine-generated.

Researchers discovered a new "critical non-Hermitian skin effect" where system properties change abruptly. This challenges traditional understanding of critical systems and has implications for quantum physics and material science.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Non-Hermitian Systems

Background:

  • Critical systems are fundamental in understanding phase transitions.
  • Non-Hermitian physics challenges established concepts like band gaps and locality.
  • Existing critical scenarios typically exhibit continuous spectral transitions.

Purpose of the Study:

  • To uncover a new class of criticality in non-Hermitian lattice systems.
  • To investigate the behavior of eigenenergies and eigenstates at critical points.
  • To explore the implications of the critical non-Hermitian skin effect.

Main Methods:

  • Analysis of non-Hermitian lattice systems.
  • Application of the generalized Brillouin zone approach.
  • Investigation of thermodynamic and zero-coupling limits.
  • Examination of finite-size scaling behavior.

Main Results:

  • Identified a novel critical phenomenon: the critical non-Hermitian skin effect.
  • Demonstrated discontinuous jumps in eigenenergies and eigenstates at criticality.
  • Showcased that thermodynamic and zero-coupling limits are not interchangeable.
  • Observed anomalous scaling and size-induced topological in-gap modes.

Conclusions:

  • The critical non-Hermitian skin effect represents a new paradigm in criticality.
  • This effect arises from coupling subsystems with dissimilar non-reciprocal accumulations.
  • Experimental detection is proposed in RLC circuits, optics, and mechanics.