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Non-perturbative Breakdown of Bloch's Theorem and Hermitian Skin Effects (2012.03333v1)
Published 6 Dec 2020 in cond-mat.mes-hall, cond-mat.quant-gas, and physics.optics
Abstract: 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 imaginary part determines the localization properties. Our work is a Hermitian generalization of the non-Hermitian skin effect, although they share the same mechanism.