| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Effect of Interaction on the Majorana Zero Modes in the Kitaev Chain at Half Filling |
| 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 047101 |
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Abstract The one-dimensional interacting Kitaev chain at half filling is studied. The symmetry of the Hamiltonian is examined by dual transformations, and various physical quantities as a function of the fermion-fermion interaction $U$ are calculated systematically using the density matrix renormalization group method. A special value of interaction $U_{\rm p}$ is revealed in the topological region of the phase diagram. We show that at $U_{\rm p}$ the ground states are strictly two-fold degenerate even though the chain length is finite and the zero-energy peak due to the Majorana zero modes is maximally enhanced and exactly localized at the end sites. Here $U_{\rm p}$ may be attractive or repulsive depending on other system parameters. We also give a qualitative understanding of the effect of interaction under the self-consistent mean field framework.
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Received: 18 January 2018
Published: 13 March 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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