Non-Bloch band theory in bosonic Bogoliubov–de Gennes systems
Non-Bloch band theory in bosonic Bogoliubov–de Gennes systems
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DOI：
10.1103/physrevb.103.165123
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发表时间：
2020-12
期刊：
影响因子：
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通讯作者：
Kazuki Yokomizo;S. Murakami
中科院分区：
文献类型：
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作者：
Kazuki Yokomizo;S. Murakami
近年来的研究表明，非厄米特系统对边界具有敏感性，这是由非厄米特趋肤效应引起的。在本工作中，我们构造了玻色Bogoliubov-de Gennes（BdG）系统的非Bloch带理论。从我们的理论，我们可以计算广义布里渊区和能量谱在这样的系统中的热力学极限与开放的边界条件，因此，我们可以讨论它的非厄米性质，尽管厄米性的原始哈密顿量。事实上，我们发现玻色Kitaev-Majorana链在非Bloch带理论中表现出丰富的非Hermitian趋肤效应，如对无穷小扰动的不稳定性和重入行为。这一结果表明，我们的理论是研究玻色BdG系统的非厄米性质的有力工具。
In recent researches, it has been shown that non-Hermitian systems exhibits sensitivity to boundaries, and it is caused by the non-Hermitian skin effect. In this work, we construct the non-Bloch band theory in bosonic Bogoliubov-de Gennes (BdG) systems. From our theory, we can calculate the generalized Brillouin zone and the energy spectrum in such systems with open boundary conditions in the thermodynamic limit, and we can thus discuss its non-Hermitian nature, despite Hermiticity of an original Hamiltonian. In fact, we find that the bosonic Kitaev-Majorana chain exhibits rich aspects of the non-Hermitian skin effect, such as instability against infinitesimal perturbations and reentrant behavior, in terms of the non-Bloch band theory. This result indicates that our theory is powerful tool for studying non-Hermitian nature in bosonic BdG systems.