Acta Physica Sinica, Volume. 69, Issue 7, 076301-1(2020)

Application of the modified analytic embedded atomic method in W(100) surface phonon spectrum

Xiao-Jun Zhang1、*, An-Xiang Wang1, Xiang-An Yan1, and Chang-Le Chen2
Author Affiliations
  • 1School of Science, Xi’an Polytechnic University, Xi’an 710048, China
  • 2School of Science, Northwestern Polytechnical University, Xi’an 710072, China
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    Figures & Tables(11)
    Surface structure of W (100): (a) Crystal lattice; (b) reciprocal lattice.
    Surface phonon spectrum of W(100)
    Surface mode distribution of W(100).
    Comparison of calculated S1 surface mode and experimental value.
    Local vibrational state density of atomic layers in the vicinity of the W (100) surface along symmetry direction: (a) First atomic layer; (b) second atomic layer; (c) third atomic layer; (d) fourth atomic layer.
    Polarizing state density of atomic layers in the vicinity of the W (100) surface along symmetry direction: (a) x polarization for first atomic layer; (b) y polarization for first atomic layer; (c) z polarization for first atomic layer; (d) x polarization for second atomic layer; (e) y polarization for second atomic layer; (f) z polarization for second atomic layer.
    Local vibrational state density of atomic layers in the vicinity of the W (100) surface along symmetry direction: (a) First atomic layer; (b) second atomic layer; (c) third atomic layer; (d) fourth atomic layer.
    Polarizing state density of atomic layers in the vicinity of the W (100) surface along symmetry direction: (a) x polarization for first atomic layer; (b) y polarization for first atomic layer; (c) z polarization for first atomic layer; (d) x polarization for second atomic layer; (e) y polarization for second atomic layer; (f) z polarization for second atomic layer.
    Local vibration state density of atomic layers in the vicinity of the W (100) surface along symmetry direction: (a) First atomic layer; (b) second atomic layer.
    Polarizing state density of atomic layers in the vicinity of the W (100) surface along symmetry direction: (a) x polarization for first atomic layer; (b) y polarization for first atomic layer; (c) z polarization for first atomic layer; (d) x polarization for second atomic layer; (e) y polarization for second atomic layer; (f) z polarization for second atomic layer.
    • Table 1.

      Comparison of vibration frequencies of surface modes for W(100) at high symmetry points (in units of THz).

      高对称点处W(100)表面模振动频率的比较 (单位: THz)

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      Table 1.

      Comparison of vibration frequencies of surface modes for W(100) at high symmetry points (in units of THz).

      高对称点处W(100)表面模振动频率的比较 (单位: THz)

      Method$\bar L$$\bar M$
      S1S2S3S6S1S3
      MAEAM2.633.083.335.033.443.91
      EHA2.772.983.465.313.273.99
      TBM3.213.343.815.063.463.93
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    Xiao-Jun Zhang, An-Xiang Wang, Xiang-An Yan, Chang-Le Chen. Application of the modified analytic embedded atomic method in W(100) surface phonon spectrum[J]. Acta Physica Sinica, 2020, 69(7): 076301-1

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    Paper Information

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    Received: Dec. 17, 2019

    Accepted: --

    Published Online: Nov. 20, 2020

    The Author Email:

    DOI:10.7498/aps.69.20191910

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