Acta Physica Sinica, Volume. 69, Issue 16, 167803-1(2020)

Resonant Multi-phonon Raman scattering of black phosphorus

Da Meng1,2, Xin Cong1,2, Yu-Chen Leng1,2, Miao-Ling Lin1, Jia-Hong Wang3, Bin-Lu Yu3, Xue-Lu Liu1, Xue-Feng Yu3, and Ping-Heng Tan1,2,4、*
Author Affiliations
  • 1State Key Laboratory of Superlattices and Microstructures, Institute of Semiconductors, Chinese Academy of Sciences, Beijing 100083, China
  • 2Center of Materials Science and Optoelectronics Engineering & CAS Center of Excellence in Topological Quantum Computation, University of Chinese Academy of Sciences, Beijing 100049, China
  • 3Shenzhen Engineering Center for the Fabrication of Two-Dimensional Atomic Crystals, Shenzhen Institutes of Advanced Technology, Chinese Academy of Sciences, Shenzhen 518055, China
  • 4Beijing Academy of Quantum Information Science, Beijing 100193, China
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    Figures & Tables(5)
    (a) Crystal structure of black phosphorus; (b) atomic displacements of phonon modes in black phosphorus; (c) phonon dispersion, vibration density of states (VDOS) and schematic diagram of first Brillouin zone of bulk black phosphorus. Raman modes at the Brillouin zone center are labeled[9]
    (a) Experimental configuration. The polarization direction of Raman signal is fixed (). The angle between polarization direction of incident light and x axis is , which can be changed by rotating a half-wave plate; (b) Raman spectra in the range of , , , and modes, under the VV() and HV() configurations; (c) the -dependent Raman intensity excited by different wavelengths. The solid lines indicate fitting results.
    (a) Raman spectra of black phosphorus excited by six excitation wavelengths between 473–671 nm. Raman spectra at and are given for each excitation. Three main first-order Raman peaks and eleven high-order Raman peaks (P1–P11) are marked by vertical dotted lines; (b) the fitting result of P4–P11 for Raman spectra by six excitations at .
    Polarization-dependent Raman intensity of P1–P11 Raman modes, excited by 488, 532 and 633 nm lasers.
    • Table 1. Assignments of high order Raman peaks of BP.

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      Table 1. Assignments of high order Raman peaks of BP.

      PeaksRaman shift /cm–1Assigned modeAssigned mode in Ref. [13] Calculated frequency/cm–1
      P1~688${\rm A}_{\rm g}^2 (\varGamma)+B_{3 {\rm g}}^1 (\varGamma)$${\rm A}_{\rm g}^2+B_{3 {\rm g}}^1$689
      P2~714${\rm B}_{2 {\rm g}} (\varGamma)+2\cdot B_{1 {\rm g}} (X)$715
      P3~747$2 \cdot {\rm{A}}_{\rm{g}}^2(\varGamma ){\rm{ - B}}_{{\rm{3 g}}}^{\rm{1}}(\varGamma )$$2 \cdot {\rm{A}}_{\rm{g}}^2-{{\rm{B}}_{{\rm{1 g}}}}$749
      P4~819${\rm B}_{2 {\rm g}} (\varGamma)+B_{1 {\rm g}} (S)+B_{3 {\rm g}}^1 (S)$821
      P5~831$2 \cdot {\rm{A} }_{\rm{g} }^2({\rm {near} }\;{{Y} })$832
      P6~839$2 \cdot {\rm{A} }_{\rm{g} }^2({{S} })$842
      P7~855$2 \cdot {\rm{B} }_{ {\rm{3 g} } }^2(\varGamma )$858
      P8~864$2 \cdot { {\rm{B} }_{ {\rm{2 g} } } }({{X} })$864
      P9~872$2 \cdot { {\rm{B} }_{2{\rm{g} } } }(\varGamma \;{\rm {or} }\;{ {S} })$874
      P10~886${\rm A}_{\rm g}^1 (X)+ A_{\rm g}^2 (X)$888
      P11~895$2 \cdot { {\rm{B} }_{2{\rm{g} } } }({\rm {between}}\;{{X} }\;{\rm {and}}\;{{S} })$896
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    Da Meng, Xin Cong, Yu-Chen Leng, Miao-Ling Lin, Jia-Hong Wang, Bin-Lu Yu, Xue-Lu Liu, Xue-Feng Yu, Ping-Heng Tan. Resonant Multi-phonon Raman scattering of black phosphorus[J]. Acta Physica Sinica, 2020, 69(16): 167803-1

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    Paper Information

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    Received: May. 9, 2020

    Accepted: --

    Published Online: Jan. 4, 2021

    The Author Email:

    DOI:10.7498/aps.69.20200696

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