Abstract
We have used first-principles density-functional theory calculations to determine the structural, electronic and optical properties of four known ZnO phases (B1, \(Fm\overline{3} m\)), (B2, \(Pm\overline{3} m\)), (B3, \(F\overline{4} 3m\)), (B4, \(P6_{3}mc\)) and three predicted phases of ZnO modification (GeP, I4mm), (5–5, \(P6_{3}/mmc\)), (NiAs, \(P6_{3}/mmc\)). The difference of data calculated by LDA and LDA + U has been compared. In addition, the calculated ground state energies and structural parameters of these phases are in consistent with the reported theoretical and experimental results. We have discussed the band structures, densities of states and chemical bonding of the seven types. Further, we have compared the calculated values of the dielectric function of the B4 phase with the experimental values. In addition, the optical constants of the seven types of ZnO have been calculated by LDA + U and LDA, respectively, the results obtained by the two methods are compared and analyzed.
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References
Amrani, B., Chiboub, I., Hiadsi, S., Benmessabih, T., Hamdadou, N.: Structural and electronic properties of ZnO under high pressures. Solid State Commun. 137, 395–399 (2006)
Ashrafifi, A.B.M.A., Ueta, A., Avramescu, A., Kumano, H., Suemune, I., Ok, Y.-W., Seong, T.-Y.: Growth and characterization of hypothetical zinc-blende ZnO films on GaAs (001) substrates with ZnS buffer layers. Appl. Phys. Lett. 76, 550–552 (2000)
Azzaz, Y., Kacimi, S., Zaoui, A., Bouhafs, B.: Electronic properties and stability of ZnO from computational study. Physica B 403, 3154–3158 (2008)
Bashyal, K., Pyles, C.K., Afroosheh, S., Lamichhane, A., Zayak, A.T.: Empirical optimization of DFT+ U and HSE for the band structure of ZnO. J. Phys.: Condens. Matter 30(6), 065501–8 (2018)
Bates, C.H., White, W.B., Roy, R.: New high-pressure polymorph of zinc oxide. Science 137, 993–993 (1962)
Catti, M., Noel, Y., Dovesi, R.: Full piezoelectric tensors of wurtzite and zinc blende ZnO and ZnS by first-principles calculations. J. Phys. Chem. Solids 64, 2183–2190 (2003)
Chikoidze, E., Nolan, M., Modreanu, M., Sallet, V., Galtier, P.: Effect of chlorine doping on electrical and optical properties of ZnO thin films. Thin Solid Films 516, 8146–8149 (2008)
Clark, S.J., Segall, M.D., Pickard, C.J., Hasnip, P.J., Probert, M.J., Refson, K., Payne, M.C.: First principles methods using CASTEP. Zeitschrift Für Kristallographie - Crystalline Materials 220, 567–570 (2005)
Croxall, D.F., Ward, R.C.C., Wallace, C.A., Kell, R.C.: Hydrothermal growth and investigation of Li-doped zinc oxide crystals. J. Cryst. Growth 22, 117–124 (1974)
Cui, S.X., Feng, W.X., Hu, H.Q., Feng, Z.B., Wang, Y.X.: Structural and electronic properties of ZnO under high pressure. J. Alloy. Compd. 476, 306–310 (2009)
Decremps, F., Datchi, F., Saitta, A.M., Polian, A., Pascarelli, S., DiCicco, A., Itié, J.P., Baudelet, F.: Local structure of condensed zinc oxide. Phys. Rev. B 68, 104101–10 (2003)
Desgreniers, S.: High-density phases of ZnO: Structural and compressive parameters. Phys. Rev. B 58, 14102–14105 (1998)
Dietl, T., Ohno, H., Matsukura, F., Cibert, J., Ferrand, D.: Zener model description of ferromagnetism in zinc-blende magnetic semiconductors Zener model description of ferromagnetism in zinc-blende magnetic semiconductors. Science 287, 1019–1022 (2000)
Fons, P., Iwata, K., Niki, S., Yamada, A., Matsubara, K.: Growth of high-quality epitaxial ZnO films on α-Al2O3. J. Cryst. Growth 201, 627–632 (1999)
Galli, G., Coker, J.E.: Epitaxial ZnO on sapphire. Appl. Phys. Lett. 16, 439–441 (1970)
Gao, J., Zeng, W., Tang, B., Zhong, M., Liu, Q.J.: Density functional characterization of Bi-based photocatalysts: BiTaO4, Bi4Ta2O11 and Bi7Ta3O18. Mater. Sci. Semicond. Process. 121, 105447–9 (2021)
Gerward, L., Olsen, J.S.: The high-pressure phase of zincite. J. Synchrotron Radiat. 2(5), 233–5 (1995)
Gruber, Th., Kirchner, C., Kling, R., Reuss, F., Waag, A., Bertram, F., Forster, D., Christen, J., Schreck, M.: Optical and structural analysis of ZnCdO layers grown by metalorganic vapor-phase epitaxy. Appl. Phys. Lett. 83, 3290–3292 (2003)
Harun, K., Salleh, N.A., Deghfel, B., Yaakob, M.K., Mohamad, A.A.: DFT + U calculations for electronic, structural, and optical properties of ZnO wurtzite structure: A review. Results in Phys. 16, 102829–12 (2020)
Jaffe, J.E., Snyder, J.A., Lin, Z.J., Hess, A.C.: LDA and GGA calculations for high-pressure phase transitions in ZnO and MgO. Phys. Rev. B 62, 1660–1665 (2000)
Janotti, A., Sefev, D., Walle, C.G.V.: Effects of cation d states on the structural and electronic properties of III-nitride and II-oxide wide-band-gap semiconductors. Physial Review B 74, 045202–9 (2006)
Kaczkowski, J.: Electronic structure of some wurtzite semiconductors: Hybrid functionals vs. Ab initio many body calculations. Acta Phys. Pol., A 121, 1142–1144 (2012)
Kalay, M., Kart, H.H., Özdemir Kart, S., çağın, T.: Elastic properties and pressure induced transitions of ZnO polymorphs from first-principle calculations. J. Alloys Compounds 484, 431–438 (2009)
Karzel, H., Potzel, W., Köfferlein, M., Schiessl, W., Steiner, M., Hiller, U., Kalvius, G.M., Mitchell, D.W., Das, T.P., Blaha, P., Schwarz, K.: Lattice dynamics and hyperfine interactions in ZnO and ZnSe at high external pressures. Phys. Rev. B 53(17), 11425–11438 (1996)
Kim, K.K., Song, J.H., Jung, H.J., Choi, W.K., Park, S.J., Song, J.H.: The grain size effects on the photoluminescence of ZnO/α-Al2O3 grown by radio-frequency magnetron sputtering. J. Appl. Phys. 87, 3573–3575 (2000)
Kohan, A.F., Ceder, G., Morgan, D., Van de Walle, C.G.: First-principles study of native point defects in ZnO. Phys. Rev. B 61, 15019–15027 (2000)
Liu, Y., Gorla, C.R., Liang, S., Emanetoglu, N., Lu, Y., Shen, H., Wraback, M.: Ultraviolet detectors based on epitaxial ZnO films grown by MOCVD. J. Electron. Mater. 29, 69–74 (2000)
Liu, E.Z., Jiang, J.Z.: O-vacancy-mediated spin-spin interaction in Co-doped ZnO: First-principles total-energy calculations. J. Appl. Phys. 107, 023909–4 (2010)
Mang, A., Reimann, K., Rubenacke, S.: Band gaps, crystal-field splitting, spin-orbit coupling, and exciton binding energies in ZnO under hydrostatic pressure. Solid State Commun. 94, 251–254 (1995)
Maouche, D., Saad Saoud, F., Louail, L.: Dependence of structural properties of ZnO on high pressure. Mater. Chem. Phys. 106, 11–15 (2007)
McCluskey, M.D., Jokela, S.J.: Defects in zno. J. Appl. Phys. 106, 071101–13 (2009)
Mitra, S.S., Brafman, O., Daniels, W.B., Crawford, R.K.: Pressure-induced phonon frequency shifts measured by Raman scattering. Phys. Rev. 186, 942–944 (1969)
Molepo, M.P., Joubert, D.P.: Computational study of the structural phases of ZnO. Phys. Rev. B 84, 094110–7 (2011)
Mollwo, E.: Dispersion, absorption and thermal emission of zinc oxide crystals. Z. Angew. Math. Phys. 6, 257 (1954)
Monkhorst, H.J., Pack, J.D.: Special points for Brillouin-zone integrations. Physial Review B 13, 5188–5192 (1976)
Ohtomo, A., Tamura, K., Kawasaki, M., Makino, T., Segawa, Y., Tang, Z.K., Wong, G.K.L., Matsumoto, Y., Koinuma, H.: Room-temperature stimulated emission of excitons in ZnO/(Mg, Zn) O superlattices. Appl. Phys. Lett. 77, 2204–2206 (2000)
Oshikiri, M., Aryasetiawan, F.: Band gaps and quasiparticle energy calculations on ZnO, ZnS, and ZnSe in the zinc-blende structure by the GW approximation. Phys. Rev. B 60, 10754–10757 (1999)
Oshikiri, M., Aryasetiawan, F.: Quasiparticle energy calculations on ii (zn)-vi (o, s, se) and iii (al, ga)-v (n) semiconductors in the wurtzite structure. J. Phys. Soc. Jpn. 69, 2123–2120 (2000)
Ozgür, Ü., Alivov, Y.I., Liu, C., Teke, A., Reshchikov, M.A., Doğan, S., Avrutin, V., Cho, S.J., Morkoç, H.: A comprehensive review of ZnO materials and devices. J. Appl. Phys. 98, 041301–103 (2005)
Porto, S.P.S., Tell, B., Damen, T.C.: Near-forward Raman scattering in zinc oxide. Phys. Rev. Lett. 16(11), 450–452 (1966)
Powell, R.A., Spicer, W.E., McMenamin, J.C.: Location of the Zn 3 d States in ZnO. Phys. Rev. Lett. 27, 97–100 (1971)
S. Adachi, Optical properties of crystalline and amorphous semiconductors, Kluwer Academic Publishers, (1999)
Schroer, P., Kruger, P., Pollmann, J.: First-principles calculation of the electronic structure of the wurtzite semiconductors ZnO and ZnS. Phys. Rev. B 47, 6971–6980 (1993)
Segura, A., Sans, J.A., ManjÓn, F.J., Muñoz, A., Herrera-Cabrera, M.J.: Optical properties and electronic structure of rock-salt ZnO under pressure. Appl. Phys. Lett. 83, 278–280 (2003)
Shen, L., Wu, R.Q., Pan, H., Peng, G.W., Yang, M., Sha, Z.D., Feng, Y.P.: Mechanism of ferromagnetism in nitrogen-doped ZnO: first-principle calculations. Phys. Rev. B 78, 073306–4 (2008)
Shiloh, M., Gutman, J.: Growth of ZnO single crystals by chemical vapour transport. J. Cryst. Growth 11, 105–109 (1971)
Sponza, L., Goniakowski, J., Noguera, C.: Structural, electronic, and spectral properties of six ZnO bulk polymorphs. Phys. Rev. B 91, 075126–11 (2015)
Sun, J., Wang, H.T., He, J.L., Tian, H.T.: Ab initio investigations of optical properties of the high-pressure phases of ZnO. Phys. Rev. B 71, 125132 (2005)
Tang, X., Lu, H.F., Ma, C.Y., Zhao, J.J., Zhang, Q.Y.: Ab initio investigations on the electronic structure and optical properties of HX-ZnO. Phys. Lett. A 372, 5372–5376 (2008)
Usuda, M., Hamada, N., Kotani, T., Schilfgaarde, M.V.: All-electron GW calculation based on the LAPW method: Application to wurtzite ZnO. Phys. Rev. B 66, 125101–8 (2002)
Vanderbilt, D.: Soft self-consistent pseudopotentials in a generalized eigenvalue formalism. Phys. Rev. B 41, 7892–7895 (1990)
Vispute, R.D., Talyansky, V., Choopun, S., Sharma, R.P., Venkatesan, T., He, M., Tang, X., Halpern, J.B., Spencer, M.G., Li, Y.X., Salamanca-Riba, L.G., Iliadis, A.A., Jones, K.A.: Heteroepitaxy of ZnO on GaN and its implications for fabrication of hybrid optoelectronic devices. Appl. Phys. Lett. 73, 348–350 (1998)
Van de Walle, C.G.: Defect analysis and engineering in ZnO. Physica B 308, 899–903 (2001)
Wan, Q.X., Xiong, Z.H., Dai, J.N., Rao, J.P., Jiang, F.Y.: First-principles study of Ag-based p-type doping difficulty in ZnO. Opt. Mater. 30, 817–821 (2008)
Wang, Q.B., Zhou, C., Chen, L., Wang, X.C., He, K.H.: The optical properties of NiAs phase ZnO under pressure calculated by GGA+ U method. Opt. Commun. 312, 185–191 (2014)
Wrobel, J., Piechota, J.: On the structural stability of ZnO phases. Solid State Commun. 146, 324–329 (2008)
Xu, Y.N., Ching, W.Y.: Electronic, optical, and structural properties of some wurtzite crystals. Phys. Rev. B 48, 4335–4351 (1993)
Zagorac, D., Schön, J.C., Zagorac, J., Jansen, M.: Prediction of structure candidates for zinc oxide as a function of pressure and investigation of their electronic properties. Phys. Rev. B 89, 075201–13 (2014)
Zhang, X.D., Guo, M.L., Li, W.X., Liu, C.L.: First-principles study of electronic and optical properties in wurtzite Zn1− xCdxO. J. Appl. Phys. 103, 063721–6 (2008)
Zhang, D.B., Wang, K., Chen, S., Zhang, L.F., Ni, Y.X., Zhang, G.: Regulating the thermal conductivity of monolayer MnPS 3 by a magnetic phase transition. Nanoscale 15, 1180–5 (2023)
Zhong, M., Zeng, W., Liu, F.S., Fan, D.H., Tang, B., Liu, Q.J.: Screening criteria for high-performance p-type transparent conducting materials and their applications. Materials Today Physics 22, 100583–8 (2022)
Zhou, G.C., Sun, L.Z., Wang, J.B., Zhong, X.L., Zhou, Y.C.: Evolution of the bonding mechanism of ZnO under isotropic compression: a first-principles study. Physica B 403, 2832–2837 (2008)
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Yu-Shi Liu: Conceptualization, Data curation, Formal analysis, Investigation, Methodology, Software, Writing - original draft Wei Zeng: Conceptualization, Funding acquisition, Project administration, Resources Zheng-Tang Liu: Software, Methodology, Writing - review & editing Qi-Jun Liu: Methodology, Writing - review & editing Juan Gao: Supervision, Theoretical analysis, Writing - review & editing Zhen Jiao: Supervision, Theoretical analysis, Writing - review & editing All authors reviewed the manuscript.
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Liu, YS., Zeng, W., Liu, ZT. et al. Geometrical, electronic and optical properties of seven types ZnO from first-principles calculation. Opt Quant Electron 55, 1177 (2023). https://doi.org/10.1007/s11082-023-05332-4
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DOI: https://doi.org/10.1007/s11082-023-05332-4