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Periodic Driving Induced Anomalous End Modes in a Superconducting Wire with the Second-Neighbor Pairing Potential

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Abstract

The anomalous end modes are generated in a one-dimensional p-wave superconducting wire with second-neighbor couplings and a periodic driving in pairing potential. We show that the driving on the amplitude or the phase of the first-neighbor and second-neighbor pairing potential can both generate conventional end modes and anomalous end modes, with corresponding Floquet eigenvalues equal to ± 1 or appear in complex conjugate pairs. We have numerically studied the driving of the first-neighbor and second-neighbor pairing potential, and also analyzed the end modes, Floquet eigenvalues and the Fourier transform of these end modes.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (NSFC) under grant No. 11475037, No. 11574041 and supported by the Fundamental Research Funds for the Central Universities under grant No.DUT15LK26.

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Authors and Affiliations

  1. Institute of Theoretical Physics, Shanxi Datong University, Datong, 037009, China

    X. P. Li

  2. School of Physics, Dalian University of Technology, Dalian, 116024, China

    C. F. Li, L. C. Wang & L. Zhou

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  1. X. P. Li
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  2. C. F. Li
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  3. L. C. Wang
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  4. L. Zhou
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Correspondence to X. P. Li.

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Li, X.P., Li, C.F., Wang, L.C. et al. Periodic Driving Induced Anomalous End Modes in a Superconducting Wire with the Second-Neighbor Pairing Potential. Int J Theor Phys 58, 1590–1602 (2019). https://doi.org/10.1007/s10773-019-04054-2

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