Extended imaginary gauge transformation in a general nonreciprocal
lattice
- URL: http://arxiv.org/abs/2401.12785v1
- Date: Tue, 23 Jan 2024 14:14:04 GMT
- Title: Extended imaginary gauge transformation in a general nonreciprocal
lattice
- Authors: Yunyao Qi, Jinghui Pi, Yuquan Wu, Heng Lin, Chao Zheng, Guilu Long
- Abstract summary: We unveil the validity of Imaginary gauge transformation (IGT) hinges on a class of pseudo-Hermitian symmetry.
We investigate the applicability of IGT and the underlying pseudo-Hermiticity beyond nearest-neighbour hopping.
Our theoretical framework is applied to establish bulk-boundary correspondence in the nonreciprocal trimer Su-Schrieffer-Heeger model.
- Score: 4.2935800462345295
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Imaginary gauge transformation (IGT) provides a clear understanding of the
non-Hermitian skin effect by transforming the non-Hermitian Hamiltonians with
real spectra into Hermitian ones. In this work, we extend this approach to the
complex spectrum regime in a general nonreciprocal lattice model. We unveil the
validity of IGT hinges on a class of pseudo-Hermitian symmetry. The generalized
Brillouin zone of Hamiltonian respect such pseudo-Hermiticity is demonstrated
to be a circle, which enables easy access to the continuum bands, localization
length of skin modes, and relevant topological numbers. Furthermore, we
investigate the applicability of IGT and the underlying pseudo-Hermiticity
beyond nearest-neighbour hopping, offering a graphical interpretation. Our
theoretical framework is applied to establish bulk-boundary correspondence in
the nonreciprocal trimer Su-Schrieffer-Heeger model and analyze the
localization behaviors of skin modes in the two-dimensional Hatano-Nelson
model.
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