| CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
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Controlling Fusion of Majorana Fermions in One-Dimensional Systems by Zeeman Field |
| Lu-Bing Shao1,2, Zi-Dan Wang2**, Rui Shen1, Li Sheng1, Bo-Gen Wang1, Ding-Yu Xing1 |
1National Laboratory of Solid State Microstructures, and Department of Physics, Nanjing University, Nanjing 210093
2Department of Physics and Center of Theoretical and Computational Physics, University of Hong Kong, Pokfulam Road, Hong Kong
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| Cite this article: |
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Lu-Bing Shao, Zi-Dan Wang, Rui Shen et al 2017 Chin. Phys. Lett. 34 067401 |
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Abstract We propose the realization of Majorana fermions (MFs) on the edges of a two-dimensional topological insulator in the proximity with s-wave superconductors and in the presence of transverse exchange field $h$. It is shown that there appear a pair of MFs localized at two junctions and that a reverse in the direction of $h$ can lead to permutation of two MFs. With decreasing $h$, the MF states can either be fused or form one Dirac fermion on the $\pi$-junctions, exhibiting a topological phase transition. This characteristic can be used to detect physical states of MFs when they are transformed into Dirac fermions localized on the $\pi$-junction. A condition of decoupling two MFs is also given.
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Received: 24 February 2017
Published: 23 May 2017
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| PACS: |
74.45.+c
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(Proximity effects; Andreev reflection; SN and SNS junctions)
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71.10.Pm
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(Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))
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75.70.Tj
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(Spin-orbit effects)
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| Fund: Supported by the Natural Science Foundation of Jiangsu Province under Grant No BK20140588, the Research Grant Council of Hongkong under Grant No HKU7058/11P, the CRF of the Research Grant Council of Hongkong under Grant No HKU-8/11G, and the National Basic Research Program of China under Grant No 2011CB922103. |
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