Supermetal-insulator transition in a non-Hermitian network model

Hui Liu, Jhih Shih You, Shinsei Ryu, Ion Cosma Fulga

研究成果: 雜誌貢獻期刊論文同行評審

3 引文 斯高帕斯(Scopus)


We study a non-Hermitian and nonunitary version of the two-dimensional Chalker-Coddington network model with balanced gain and loss. This model belongs to the class with particle-hole and hosts both the non-Hermitian skin effect as well as exceptional points. By calculating its two-terminal transmission, we find a contact effect induced by the skin effect, which results in a nonquantized transmission for chiral edge states. In addition, the model exhibits an insulator to “supermetal” transition, across which the transmission changes from exponentially decaying with system size to exponentially growing with system size. In the clean system, the critical point separating insulator from supermetal is characterized by a non-Hermitian Dirac point that produces a quantized critical transmission of 4, instead of the value of 1 expected in Hermitian systems. This change in critical transmission is a consequence of the balanced gain and loss. When adding disorder to the system, we find a critical exponent for the divergence of the localization length , which is the same as that characterizing the universality class of two-dimensional Hermitian systems in class D. Our work provides a way of exploring the localization behavior of non-Hermitian systems, by using network models, which in the past proved versatile tools to describe Hermitian physics.

期刊Physical Review B
出版狀態已發佈 - 2021 10月 15

ASJC Scopus subject areas

  • 電子、光磁材料
  • 凝聚態物理學


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