Non-Hermitian generalizations of the Yao-Lee model augmented by SO(3)-symmetry-breaking terms

• URL: http://arxiv.org/abs/2401.08568v2
• Date: Thu, 27 Jun 2024 22:02:39 GMT
• Title: Non-Hermitian generalizations of the Yao-Lee model augmented by SO(3)-symmetry-breaking terms
• Authors: Ipsita Mandal,
• Abstract summary: We investigate non-Hermitian versions of the Yao-Lee model, supplemented by various kinds of SO(3)-symmetry-breaking terms. The resulting eigenvalue spectrum and the eigenmodes show a rich structure of exceptional points as well as non-Hermitian skin effects.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate non-Hermitian versions of the Yao-Lee model, supplemented by various kinds of SO(3)-symmetry-breaking terms, preserving the solvability of the model. The parent model hosts three species of Majorana fermions, thereby serving as an extension of the two-dimensional Kitaev model on the honeycomb lattice. The non-Hermitian couplings represent generic situations when the system is coupled to the environment and, thus, undergoes dissipation. The resulting eigenvalue spectrum and the eigenmodes show a rich structure of exceptional points as well as non-Hermitian skin effects. We chart out such exotic behaviour for some representative parameter regimes.

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