Linear localization of zero modes in weakly coupled non-Hermitian reservoirs

• URL: http://arxiv.org/abs/1804.00579v2
• Date: Wed, 15 Nov 2023 17:14:26 GMT
• Title: Linear localization of zero modes in weakly coupled non-Hermitian reservoirs
• Authors: Bingkun Qi and Li Ge
• Abstract summary: We show that a non-Hermitian zero mode displays a linearly decreasing amplitude as a function of space. We attribute it to the non-Bloch solution of a linear homogeneous recurrence relation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Topological and symmetry-protected non-Hermitian zero modes have attracted considerable interest in the past few years. Here we reveal that they can exhibit an unusual behavior when transitioning between the extended and localized regimes: When weakly coupled to a non-Hermitian reservoir, such a zero mode displays a linearly decreasing amplitude as a function of space, which is not caused by an EP of a Hamiltonian, either of the entire system or the reservoir itself. Instead, we attribute it to the non-Bloch solution of a linear homogeneous recurrence relation, together with the underlying non-Hermitian particle-hole symmetry and the zeroness of its energy.

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