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What is generalized brilioun zone?

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The Generalized Brillouin Zone (GBZ) is a concept introduced in the study of non-Hermitian systems to describe non-trivial topological structures in boundary conditions between open and periodic boundaries. It plays a crucial role in characterizing phenomena like the non-Hermitian skin effect and topological phase transitions in such systems. By extending the applications of GBZ theory, researchers have been able to provide a more comprehensive understanding of non-Hermitian topological matter. The GBZ theory helps in explaining the behavior of systems with on-site disorders, long-range hopping, and the impact of magnetic suppression on the non-Hermitian skin effect, contributing significantly to the exploration of topological phases in non-Hermitian systems.

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Open access•Posted Content•DOI Modified Generalized-Brillouin-Zone Theory with On-site Disorders 05 Aug 2022	Generalized Brillouin Zone (GBZ) theory is extended to non-Hermitian systems with on-site disorders, providing a comprehensive description of the non-Hermitian skin effect (NHSE) in these systems.
Journal Article•DOI Modified generalized Brillouin zone theory with on-site disorder Hongfang Liu, Ming Lu, Zhi‐Qiang Zhang, Hua Jiang - Show less +3 more 05 Aug 2022-Physical review 1 Citations	Generalized Brillouin zone theory is extended to non-Hermitian systems with on-site disorder, providing a description of the non-Hermitian skin effect and a unified parameter $\beta$ for long-range hopping systems.
Open access•Posted Content•DOI Topological Phase Transitions of Generalized Brillouin Zone 15 May 2023	Generalized Brillouin Zone (GBZ) exhibits non-trivial topological structures between open and periodic boundary conditions, characterized by exceptional points and topological phase transitions in non-Hermitian systems.
Open access•Journal Article•DOI Modified generalized Brillouin zone theory with on-site disorder 24 Apr 2023-Physical review	Generalized Brillouin zone theory is extended to non-Hermitian systems with on-site disorders, providing a faithful description of the non-Hermitian skin effect and a unified parameter for long-range hopping systems.
Topological Phase Transitions of Generalized Brillouin Zone Sonu Verma, Moon Jip Park - Show less +1 more 15 May 2023	Generalized Brillouin Zone (GBZ) is a region with non-trivial topological structures between open and periodic boundary conditions, featuring exceptional points for topological phase transitions in non-Hermitian systems.

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