Bulk-boundary correspondence in disordered non-Hermitian systems.

Area of Science:

• Condensed Matter Physics
• Quantum Mechanics
• Topological Materials

Background:

• Bulk-boundary correspondence (BBC) ensures consistency between open and periodic boundary conditions.
• Non-Hermitian skin effect (NHSE) can disrupt BBC, particularly in disordered systems.
• Generalized Brillouin zone (GBZ) theory is successful in clean non-Hermitian systems but struggles with broken translational symmetry.

Purpose of the Study:

• To reconstruct BBC for disordered non-Hermitian systems.
• To extend the applicability of GBZ theory to disordered systems.
• To precisely describe and predict the behavior of NHSE in disordered systems.

Main Methods:

• Proposed a scheme to reconstruct BBC by formulating it as an optimization problem.
• Solved the optimization problem analytically.
• Applied the modified GBZ theory to prototypical disordered non-Hermitian models.

Main Results:

• Successfully reconstructed BBC for disordered non-Hermitian systems.
• Developed a modified GBZ theory applicable to disordered systems.
• The modified GBZ theory accurately describes NHSE and predicts disorder-reversed directions.

Conclusions:

• The proposed method reconstructs BBC in disordered non-Hermitian systems.
• The modified GBZ theory provides a powerful tool for understanding NHSE in complex systems.
• This work extends the theoretical framework for non-Hermitian physics to disordered scenarios.