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Exact eigenvectors and eigenvalues of the finite Kitaev chain and its topological properties

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Leumer, Nico ; Marganska, Magdalena ; Muralidharan, Bhaskaran ; Grifoni, Milena
License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 14 Jul 2020 10:37


We present a comprehensive, analytical treatment of the finite Kitaev chain for arbitrary chemical potential and chain length. By means of an exact analytical diagonalization in the real space, we derive the momentum quantization conditions and present exact analytical formulas for the resulting energy spectrum and eigenstate wave functions, encompassing boundary and bulk states. In accordance ...


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