Frequency spectrum and group velocities of acoustic phonons in PbI2 nanofilms
DOI:
https://doi.org/10.15330/pcss.23.3.478-483Keywords:
nanostructure, nanofilm, phonon, spectrum, frequency, group velocityAbstract
Using the elastic continuum approach, an energy spectrum and spectral dependences of a group velocities of confined acoustic phonons in planar quasi-two-dimensional nanostructures (nanofilms) of hexagonal symmetry of the 2H-PbI2 type were studied by methods of the theory of elasticity. It is shown that the energy and propagation velocity of vibrational modes for all branches of the phonon spectrum in these type nanostructures are nonlinear functions of a magnitude of a wave vector and a thickness of the nanofilm. The obtained results can be used to analyze an influence of acoustic phonons on a course of phenomena of thermal and electrical conductivity, carrier scattering and optical absorption in nanostructures, components of which are thin layers of lead iodide.
References
[2] Z. Razaq, A. Fadhel, Indian Journal of Natural Sciences 9(50), 14793 (2018) (doi:10.13140/RG.2.2.31708.44162).
[3] Y. Sun, Zh. Huang, Z. Zhou et al., arXiv:1810.08927v2 (2019) [cond-mat.mes-hall] (https://arxiv.org/ftp/arxiv/papers/1810/1810.08927.pdf).
[4] K. Tvingstedt, O. Malinkiewicz, A. Baumann, et al., Science Reports 4, 6071 (2015) (doi:10.1038/srep06071).
[5] P. Guo, C. C. Stoumpos, L. Mao, et al., Nature Commun. 9, 2019 (2018) (doi: 10.1038/s41467-018-04429-9).
[6] R. Ran, C. Cheng, Z.-Y. Zeng et al., Phil. Mag. 99(10), 1277 (2019). (doi: ).
[7] L. Pedesseau, J. Even, C. Katan et al., Thin Solid Films 541, 9 (2013) (doi: 10.1016/j.tsf.2012.10.129).
[8] O. Pugantseva, V. Kramar, VIII International School-Conference (Publ. Hous “Ukrpol” Ltd., Drohobych, 2013), P. 106-107.
[9] V. Kramar, O. Pugantseva, A. Derevyanchuk, Low Temp. Phys. 40(8), 766 (2014) (doi:10.1063/1.4892649).
[10] A.V. Derevyanchuk, O.V. Pugantseva, V.M. Kramar, Semicond. Phys. Quant. Electron.&Optoelectronics 17(2), 188 (2014) (doi: 10.15407/spqeo17.02.188).
[11] E. P. Pokatilov, D. L. Nika, A. A. Balandin, Superlattices and Nanostructures 33, 155 (2003). (doi: 10.1016/S0749-6036(03)00069-7).
[12] E.P. Pokatilov, D.L. Nika, A.A. Balandin, J. Appl. Phys. 95, 5626 (2004) (doi: 10.1371/journal.pone.0214971).
[13] M.V. Tkach, V.M. Kramar, Ukr. J. Phys. 53(8), 810 (2008). (http://archive.ujp.bitp.kiev.ua/files/journals/53/8/530812p.pdf).
[14] Yu.V. Lutsiuk, V.M. Kramar, J. Nano- Electron. Phys. 12(5), 05033 (2020) (doi: 10.21272/jnep.12(5).05033)
[15] T. Minagawa, Common polytypes of PbI2 at low and high temperatures and the 2H-12R transformation, Acta Cryst. A31, 823 (1975) (doi: 10.1107/S0567739475001787).
[16] O. Madelung, U. Rössler, M. Schulz (ed.), Lead diiodide (PbI2) Grüneisen parameters, effective charge, force constants (Springer-Verlag, Berlin Heidelberg, 1998).
Downloads
Published
How to Cite
Issue
Section
