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Non-perturbative Breakdown of Blochs Theorem and Hermitian Skin Effects

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 نشر من قبل Zhesen Yang
 تاريخ النشر 2020
  مجال البحث فيزياء
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 تأليف Zhesen Yang




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In conventional Hermitian systems with the open boundary condition, Blochs 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 Blochs 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 imaginary part determines the localization properties. Our work is a Hermitian generalization of the non-Hermitian skin effect, although they share the same mechanism.

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