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The topological criticality in disordered non-Hermitian system
Xi-Xi Bao1, Gang-Feng Guo1, Xue-Peng Du1
1Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, People's Republic of China.
Summary
Disorders impact non-Hermitian systems by altering topological properties. This study introduces a generalized localization length to define topological phase boundaries in disordered non-Hermitian systems.
Area of Science:
- Condensed matter physics
- Topological materials
- Non-Hermitian systems
Background:
- Disorders significantly influence material properties, including topological and localized characteristics.
- Non-Hermitian systems exhibit unique phenomena like the skin effect, distinct from their Hermitian counterparts.
Purpose of the Study:
- To investigate the effects of intracell and intercell disorders on the topological and localized properties of non-Hermitian systems.
- To propose a method for explicitly determining topological phase boundaries in disordered non-Hermitian systems.
Main Methods:
- Analysis of phase diagrams under different disorder types (intracell and intercell).
- Investigation of the skin effect's behavior in the presence of disorders.
- Development and verification of a generalized localization length using similarity transformation.
Main Results:
- Intracell disorder broadens the topological region, while intercell disorder narrows it.
- Disorders disrupt the skin effect, a unique characteristic of non-Hermitian systems.
- The proposed generalized localization length accurately defines topological phase boundaries and remains invariant under similarity transformation.
Conclusions:
- Disorders play a crucial role in modulating topological phases in non-Hermitian systems.
- The generalized localization length provides a robust tool for analyzing topological phase transitions in disordered non-Hermitian systems.
- This framework offers analytical insights into topological criticality in clean-limit non-Hermitian systems.
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