Abstract
We study the electron states localized at the edge of a superconducting island placed on the top of a topological insulator in a transverse magnetic field. In such systems, Majorana fermions emerge if an odd number of vortices is hosted by the island. Majorana states emerge in pairs: one state is localized near the vortex core, and another at the island edge. We analyze the robustness of Majorana fermions at the edge of the island threaded by a single vortex. If the system parameters are optimized, the energy gap between the Majorana fermion and the first excited state at the edge is of the order of the superconducting gap induced on the surface of the topological insulator. The stability of the Majorana fermion state against a variation of the gate voltage and its sensitivity to the magnetic field allows one to experimentally distinguish the edge Majorana fermion from conventional Dirac fermions.
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References
Nayak, C., Simon, S.H., Stern, A., Freedman, M., Das Sarma, S.: Non-Abelian anyons and topological quantum computation. Rev. Mod. Phys. 80, 1083 (2008)
Fu, L., Kane, C.L.: Superconducting proximity effect and Majorana fermions at the surface of a topological insulator. Phys. Rev. Lett. 100, 096407 (2008)
Mourik, V., Zuo, K., Frolov, S.M., Plissard, S.R., Bakkers, E.P.A.M., Kouwenhoven, L.P.: Signatures of Majoran fermions in hybrid superconductor-semiconductor nanowire devices. Science 336, 1003 (2012)
Deng, M. T., Yu, C.L., Huang, G.Y., Larsson, M., Caroff, P., Xu, H.Q.: Anomalous zero-bias conductance peak in a Nb-InSb Nanowire-Nb hybrid device. Nano Lett. 12, 6414 (2012)
Nadj-Perge, S., Drozdov, I.K., Li, J., Chen, H., Jeon, S., Seo, J., MacDonald, A.H., Bernevig, B.A., Yazdani, A.: Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor. Science 346, 602 (2014)
Xu, J.-P., Wang, M.-X., Liu, Z.L., Ge, J.-F., Yang, X., Liu, C., Xu, Z.A., Guan, D., Gao, C.L., Qian, D., Liu, Y., Wang, Q.-H., Zhang, F.-C., Xue, Q.-K., Jin-Feng: Experimental detection of a majorana mode in the core of a magnetic vortex inside a topological insulator-superconductor Bi 2 Te 3/NbSe 2 heterostructure. Phys. Rev. Lett. 114, 017001 (2015)
Rakhmanov, A.L., Rozhkov, A.V., Nori, F.: Majorana fermions in pinned vortices. Phys. Rev. B 84, 075141 (2011)
Akzyanov, R.S., Rozhkov, A.V., Rakhmanov, A.L., Nori, F.: Tunneling spectra of pinned Abrikosov vortex with robust Majorana state. Phys. Rev. B 89, 085409 (2014)
Sau, J.D., Lutchyn, R.M., Tewari, S., Das Sarma, S.: Robustness of Majorana fermions in proximity-induced superconductors. Phys. Rev. B 82, 094522 (2010)
Akzyanov, R.S., Rakhmanov, A.L., Rozhkov, A.V., Nori, F.: Majorana fermions at the edge of superconducting islands. Phys. Rev. B 92, 075432 (2015)
Acknowledgments
We are grateful to prof. Franco Nori for valuable discussions. We acknowledge partial support by the Dynasty Foundation and ICFPM (MMK), the Ministry of Education and Science of the Russian Federation Grant No. 14Y26.31.0007, RFBR Grant No. 15-02-02128.
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Rakhmanov, A.L., Akzyanov, A.S. & Rozhkov, A.V. Majorana Fermion in Superconducting Island on Top of Topological Insulator. J Supercond Nov Magn 29, 1123–1125 (2016). https://doi.org/10.1007/s10948-016-3380-y
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DOI: https://doi.org/10.1007/s10948-016-3380-y