| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Topological Invariants in Terms of Green's Function for the Interacting Kitaev Chain |
| Zhidan Li1, Qiang Han1,2** |
1Department of Physics, Renmin University of China, Beijing 100872
2Beijing Key Laboratory of Opto-electronic Functional Materials and Micro-nano Devices, Renmin University of China, Beijing 100872
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| Cite this article: |
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Zhidan Li, Qiang Han 2018 Chin. Phys. Lett. 35 077101 |
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Abstract A one-dimensional closed interacting Kitaev chain and the dimerized version are studied. The topological invariants in terms of Green's function are calculated by the density matrix renormalization group method and the exact diagonalization method. For the interacting Kitaev chain, we point out that the calculation of the topological invariant in the charge density wave phase must consider the dimerized configuration of the ground states. The variation of the topological invariant is attributed to the poles of eigenvalues of the zero-frequency Green functions. For the interacting dimerized Kitaev chain, we show that the topological invariant defined by Green's functions can distinguish more topological nonequivalent phases than the fermion parity.
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Received: 12 February 2018
Published: 24 June 2018
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| PACS: |
71.10.Pm
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(Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))
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74.20.-z
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(Theories and models of superconducting state)
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75.10.Pq
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(Spin chain models)
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| Fund: Supported by the National Natural Science Foundation of China under Grant No 11274379, and the Research Funds of Renmin University of China under Grant No 14XNLQ07. |
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