Interaction-Induced Second-Order Skin Effect

• URL: http://arxiv.org/abs/2501.06816v1
• Date: Sun, 12 Jan 2025 14:10:39 GMT
• Title: Interaction-Induced Second-Order Skin Effect
• Authors: Wen-Zheng Ling, Zhao-Fan Cai, Tao Liu,
• Abstract summary: We demonstrate the many-body interaction induced second-order skin effect in a non-Hermitian bosonic system. Our findings introduce a novel approach to realizing higher-order skin effects by leveraging interactions.
• Score: 2.065269712285607
• License:
• Abstract: In contrast to the conventional (first-order) non-Hermitian skin effect (NHSE) in a $d$-dimensional system with linear size $L$, the $n$th-order (higher-order) NHSE is characterized by skin modes localized at lower-dimensional boundaries of dimension $(d-n)$. The total number of these modes scales linearly with the system size $L$. Significant progress has been made in understanding higher-order NHSE in non-interacting systems. In this work, we demonstrate the many-body interaction induced second-order skin effect in a two-dimensional non-Hermitian bosonic system. Specifically, we construct a non-Hermitian square lattice that incorporates nonreciprocal single-boson hopping, onsite many-body interactions and two-boson pairing hopping. In the absence of interactions, no second-order NHSE is observed. However, with the inclusion of interactions, we identify interaction-induced skin modes for in-gap doublon states (i.e., bound pairs of bosons) localized at the corners of the lattice, while the bulk doublon states remain extended. These corner-localized skin modes arise from the interplay between interaction-induced edge states, localized along one-dimensional boundaries, and the nonreciprocal hopping along these boundaries. Furthermore, the number of corner skin modes scales linearly with the system size, confirming the presence of second-order NHSE in this interacting system. Our findings introduce a novel approach to realizing higher-order skin effects by leveraging interactions.

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