Non-perturbative breakdown of Bloch's theorem and Hermitian skin effects
Z Yang - arXiv preprint arXiv:2012.03333, 2020 - arxiv.org
In conventional Hermitian systems with the open boundary condition, Bloch's theorem is
perturbatively broken down, which means although the crystal momentum is not a good
quantum number, the eigenstates are the superposition of several extended Bloch waves. In
this paper, we show that Bloch's theorem can be non-perturbatively broken down in some
Hermitian Bosonic systems. The quasiparticles of the system are the superposition of
localized non-Bloch waves, which are characterized by the complex momentum whose …
perturbatively broken down, which means although the crystal momentum is not a good
quantum number, the eigenstates are the superposition of several extended Bloch waves. In
this paper, we show that Bloch's theorem can be non-perturbatively broken down in some
Hermitian Bosonic systems. The quasiparticles of the system are the superposition of
localized non-Bloch waves, which are characterized by the complex momentum whose …
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