Controllable suppression of Non-Hermitian skin effects

The Non-Hermitian skin effect (NHSE) is a phenomenon in which the bulk states tends to the boundary in Non-Hermitian Hamiltonian, and has a wide range of application scenarios. The fully understanding of the skin mode anomalies in NHSEs is vital for the application. Recently, some innovative work reported the suppression Phys. Rev. Lett 127, 256402 (2021) and enhancement Phys. Rev. Lett 131, 116601 (2023) of NHSEs by magnetic field, respectively. In our work, we constructed magnetic field-like onsite potential energy distribution and random-like onsite potential energy distribution, and found that onsite potential energy has non-monotonic and monotonic suppression patterns on skin modes. Non-monotonic and monotonic suppression patterns are two typical forms in the transition from order to disorder. Only relying on onsite potential energy, not only we have obtained a profound understanding of the connection and difference between order and disorder, but also developed a general strategy to achieve both robustness and adjustability of the skin modes. By linking with the scaling theory in disorder, the controllable suppression of NHSEs, based on mutual transformation between order and disorder, is generalized to higher dimensions.