Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions
Published in Physical Review X, 2024
This work develops a geometric formulation of the non-Hermitian skin effect and non-Bloch band theory in arbitrary spatial dimensions using the amoeba of a complex Laurent polynomial. The resulting framework gives efficient access to spectra, generalized Brillouin zones, and eigenstate profiles in settings where higher-dimensional non-Bloch physics is otherwise difficult to analyze.
Published version: Physical Review X
Preprint: arXiv:2212.11743
Recommended citation: Hong-Yi Wang, Fei Song, and Zhong Wang. "Amoeba Formulation of Non-Bloch Band Theory in Arbitrary Dimensions." Physical Review X 14, 021011 (2024).
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