• Acta Physica Sinica
  • Vol. 69, Issue 7, 076301-1 (2020)
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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    DOI: 10.7498/aps.69.20191910 Cite this Article
    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 Copy Citation Text show less
    Surface structure of W (100): (a) Crystal lattice; (b) reciprocal lattice.
    Fig. 1. Surface structure of W (100): (a) Crystal lattice; (b) reciprocal lattice.
    Surface phonon spectrum of W(100)
    Fig. 2. Surface phonon spectrum of W(100)
    Surface mode distribution of W(100).
    Fig. 3. Surface mode distribution of W(100).
    Comparison of calculated S1 surface mode and experimental value.
    Fig. 4. 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.
    Fig. 5. 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.
    Fig. 6. 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.
    Fig. 7. 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.
    Fig. 8. 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.
    Fig. 9. 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.
    Fig. 10. 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.
    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
    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)

    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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