Impurity induced scale-free localization

• URL: http://arxiv.org/abs/2008.05501v1
• Date: Wed, 12 Aug 2020 18:06:24 GMT
• Title: Impurity induced scale-free localization
• Authors: Linhu Li, Ching Hua Lee, Jiangbin Gong
• Abstract summary: This work develops a full framework for non-Hermitian impurity physics in a non-reciprocal lattice. As the impurity strength is tuned, the localization of steady states can assume very rich behavior. We propose specific circuit setups for experimental detection of the scale-free accumulation.
• Score: 3.205614282399206
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: This work develops a full framework for non-Hermitian impurity physics in a non-reciprocal lattice, with PBCs, OBCs and even their interpolations being special cases across a whole range of boundary impurity strengths. As the impurity strength is tuned, the localization of steady states can assume very rich behavior, including the expected non-Hermitian skin effect, Bloch-like states albeit broken translational invariance, and surprisingly, scale-free accumulation along or even against the direction of non-reciprocity. We further uncover the possibility of the co-existence of non-Hermitian skin effect and scale-free localization, where qualitative aspects of the system's spectrum can be extremely sensitive to impurity strength. We have also proposed specific circuit setups for experimental detection of the scale-free accumulation, with simulation results confirming our main findings.

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