Acta Physica Sinica, Volume. 69, Issue 7, 070302-1(2020)

Topological quantum phase transitions in one-dimensional p-wave superconductors with modulated chemical potentials

Jing-Nan Wu1,2, Zhi-Hao Xu1,2、*, Zhan-Peng Lu1,2, and Yun-Bo Zhang1
Author Affiliations
  • 1Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China
  • 2State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China
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    Figures & Tables(6)
    Hofstadter butterfly: the energy spectrum varying with . The red dotted point denotes the Majorana Fermion. and
    Topological phase diagram in plane with . (a) ; (b) ; (c) , L = 2584
    Energy varying with phase shift with , and under open boundary condition.
    (a) The lowest excitation energies, , varying with the quasi-periodic modulation amplitude, V, under OBC and PBC, respectively. The spatial distribution of the lowest excited state (b), (c). , , , .
    (a) topological invariant varying with the strength of the potential V; (b) the scaling of ; (c) the scaling of . Here, , , , .
    varying with the amplitude of quasi-periodic modulation V and energy . , , : (a) ; (b) ; (c) ; (d)
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    Jing-Nan Wu, Zhi-Hao Xu, Zhan-Peng Lu, Yun-Bo Zhang. Topological quantum phase transitions in one-dimensional p-wave superconductors with modulated chemical potentials[J]. Acta Physica Sinica, 2020, 69(7): 070302-1

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    Paper Information

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    Received: Dec. 10, 2019

    Accepted: --

    Published Online: Nov. 20, 2020

    The Author Email:

    DOI:10.7498/aps.69.20191868

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