Generalized Brillouin zones in non-Hermitian 1D models can become disconnected with more connected components than bands from point-gap features, allowing line gaps to close without altering point-gap topology.
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Families of nonlinear skin modes emerge from linear ones in the Hatano-Nelson model with Kerr nonlinearity, exhibiting enhanced localization for focusing and reduced localization for defocusing nonlinearity.
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Topology of the generalized Brillouin zone of one-dimensional models
Generalized Brillouin zones in non-Hermitian 1D models can become disconnected with more connected components than bands from point-gap features, allowing line gaps to close without altering point-gap topology.
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Skin modes in a nonlinear Hatano-Nelson model
Families of nonlinear skin modes emerge from linear ones in the Hatano-Nelson model with Kerr nonlinearity, exhibiting enhanced localization for focusing and reduced localization for defocusing nonlinearity.