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

Leumer, Nico ; Marganska, Magdalena ; Muralidharan, Bhaskaran ; Grifoni, Milena



Abstract

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 formulae for the resulting energy spectrum and eigenstate wave functions, encompassing boundary and bulk states. In accordance ...

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