- Open Access
Optical properties of : Band gaps, plasmonic effects, and phonons
Phys. Rev. Materials 9, 064602 – Published 9 June, 2025
DOI: https://doi.org/10.1103/PhysRevMaterials.9.064602
Abstract
Bulk single-crystal samples with varying free-carrier concentrations are investigated using spectroscopic ellipsometry and Raman spectroscopy to explore their vibrational and excitonic properties. The fundamental band gap of inverse spinel is determined to be , while the normal spinel phase exhibits a band gap of . For comparison, analysis of an insulating sample in the ultraviolet region yields a band gap of . The high-frequency dielectric constant is measured as for and for . The analysis of the infrared plasma frequency provides an effective electron mass of for low carrier concentration. An increase in the effective mass to at is observed, reflecting the nonparabolicity of the conduction band. Optical mobility values are found to be consistent with Hall-effect measurements. Infrared phonon observations are in agreement with previous reports, while Raman spectra confirm five Raman-active phonon modes in their expected polarization symmetries. An additional Raman mode at higher frequencies suggests inversion of the spinel structure in all samples. Furthermore, Raman-inactive modes with Fano line shapes are observed at infrared-active frequencies and are attributed to off-stoichiometry in the samples.
Physics Subject Headings (PhySH)
Article Text
References (77)
- T. Omata, N. Ueda, K. Ueda, and H. Kawazoe, Appl. Phys. Lett. 64, 1077 (1994).
- M. Hilfiker, M. Stokey, R. Korlacki, U. Kilic, Z. Galazka, K. Irmscher, S. Zollner, and M. Schubert, Appl. Phys. Lett. 118, 132102 (2021).
- Z. Galazka, S. Ganschow, R. Schewski, K. Irmscher, D. Klimm, A. Kwasniewski, M. Pietsch, A. Fiedler, I. Schulze-Jonack, M. Albrecht, T. Schröder, and M. Bickermann, APL Mater. 7, 022512 (2019).
- T. Oshima, M. Niwa, A. Mukai, T. Nagami, T. Suyama, and A. Ohtomo, J. Cryst. Growth 386, 190 (2014).
- Y. Jang, S. Hong, J. Seo, H. Cho, K. Char, and Z. Galazka, Appl. Phys. Lett. 116, 202104 (2020).
- Y.-S. Shen, W.-K. Wang, and R.-H. Horng, IEEE J. Electron Devices Soc. 5, 112 (2017).
- P.-W. Chen, S.-Y. Huang, S.-H. Yuan, Y.-A. Chen, P.-W. Hsiao, and D.-S. Wuu, Adv. Mater. Interfaces 6, 1901075 (2019).
- S.-H. Tsai, S. Basu, C.-Y. Huang, L.-C. Hsu, Y.-G. Lin, and R.-H. Horng, Sci. Rep. 8, 14056 (2018).
- W.-L. Huang, C.-H. Li, S.-P. Chang, and S.-J. Chang, ECS J. Solid State Sci. Technol. 8, Q3213 (2019).
- J. Y. Hwang, I. T. Kim, and H. W. Choi, J. Nanoelectron. Optoelectron. 16, 855 (2021).
- F. P. Sabino, I. Chatratin, A. Janotti, and G. M. Dalpian, Phys. Rev. Mater. 6, 064602 (2022).
- Y. K. Frodason, A. Galeckas, V. S. Olsen, P. M. Weiser, Z. Galazka, C. G. Van de Walle, and L. Vines, Phys. Rev. Mater. 8, 094604 (2024).
- Y.-P. Wang, H.-S. Zhang, L.-T. Lin, S.-F. Zhou, Y. Yao, X.-B. Yang, and Y.-J. Zhao, J. Appl. Phys. 125, 095701 (2019).
- E. Chikoidze, C. Sartel, I. Madaci, H. Mohamed, C. Vilar, B. Ballesteros, F. Belarre, E. del Corro, P. Vales-Castro, G. Sauthier, L. Li, M. Jennings, V. Sallet, Y. Dumont, and A. Pérez-Tomás, Cryst. Growth Des. 20, 2535 (2020).
- Z. Chi, F.-G. Tarntair, M. Frégnaux, W.-Y. Wu, C. Sartel, I. Madaci, P. Chapon, V. Sallet, Y. Dumont, A. Pérez-Tomás, R. Horng, and E. Chikoidze, Mater. Today Phys. 20, 100466 (2021).
- M. M. Can, G. Hassnain Jaffari, S. Aksoy, S. I. Shah, and T. Firat, J. Alloys Compd. 549, 303 (2013).
- Z. Yan and H. Takei, J. Cryst. Growth 171, 131 (1997).
- P. Van der Straten, R. Metselaar, and H. Jonker, J. Cryst. Growth 43, 270 (1978).
- W. Jia, H. Liu, S. Huang, X. Wu, L. Lu, and W. M. Yen, J. Electrochem. Soc. 142, 1637 (1995).
- L. Chen, Y. Liu, Z. Lu, and K. Huang, Mater. Chem. Phys. 97, 247 (2006).
- S. Yi, I. Kim, H. Park, J. Bae, B. Moon, and J. Jeong, J. Cryst. Growth 247, 213 (2003).
- J. S. Bae, B. K. Moon, B. C. Choi, J. H. Jeong, S. S. Yi, I. W. Kim, and J. S. Lee, Thin Solid Films 424, 291 (2003).
- L.-C. Cheng, C.-Y. Huang, and R.-H. Horng, IEEE J. Electron Devices Soc. 6, 432 (2018).
- R.-H. Horng, C.-Y. Huang, S.-L. Ou, T.-K. Juang, and P.-L. Liu, Cryst. Growth Des. 17, 6071 (2017).
- W.-K. Wang, Y.-J. Xu, S.-Y. Huang, K.-F. Liu, and P.-C. Tsai, Coatings 9, 469 (2019).
- H.-W. Choi, B.-J. Hong, S.-K. Lee, K.-H. Kim, and Y.-S. Park, J. Lumin. 126, 359 (2007).
- S. Yi, I. Kim, J. Bae, B. Moon, S. Kim, and J. Jeong, Mater. Lett. 57, 904 (2002).
- M. Althammer, A. V. Singh, T. Wimmer, Z. Galazka, H. Huebl, M. Opel, R. Gross, and A. Gupta, Appl. Phys. Lett. 115, 092403 (2019).
- J. Shan, A. V. Singh, L. Liang, L. J. Cornelissen, Z. Galazka, A. Gupta, B. J. van Wees, and T. Kuschel, Appl. Phys. Lett. 113, 162403 (2018).
- G. G. P. Van Gorkom, J. H. Haanstra, and H. v. d. Boom, J. Raman Spectrosc. 1, 513 (1973).
- M. Stokey, R. Korlacki, S. Knight, M. Hilfiker, Z. Galazka, K. Irmscher, V. Darakchieva, and M. Schubert, Appl. Phys. Lett. 117, 052104 (2020).
- K. E. Sickafus, J. M. Wills, and N. W. Grimes, J. Am. Ceram. Soc. 82, 3279 (1999).
- Z. Galazka, D. Klimm, K. Irmscher, R. Uecker, M. Pietsch, R. Bertram, M. Naumann, M. Albrecht, A. Kwasniewski, R. Schewski, and M. Bickermann, Phys. Status Solidi A 212, 1455 (2015).
- R. J. Hill, J. R. Craig, and G. V. Gibbs, Phys. Chem. Miner. 4, 317 (1979).
- G. D. Price, S. L. Price, and J. K. Burdett, Phys. Chem. Miner. 8, 69 (1982).
- C. Hirschle, J. Schreuer, Z. Galazka, and C. Ritter, J. Alloys Compd. 886, 161214 (2021).
- Z. Galazka, S. Ganschow, K. Irmscher, D. Klimm, M. Albrecht, R. Schewski, M. Pietsch, T. Schulz, A. Dittmar, A. Kwasniewski, R. Grueneberg, S. B. Anooz, A. Popp, U. Juda, I. M. Hanke, T. Schroeder, and M. Bickermann, Prog. Cryst. Growth Charact. Mater. 67, 100511 (2021).
- D. A. G. Bruggeman, Ann. Phys. (NY) 421, 160 (1937).
- S.-H. Wei and S. B. Zhang, Phys. Rev. B 63, 045112 (2001).
- Y. Ota, K. Kaneko, T. Onuma, and S. Fujita, J. Phys. D: Appl. Phys. 57, 255108 (2024).
- F. Di Quarto, A. Zaffora, F. Di Franco, and M. Santamaria, ACS Org. Inorg. Au 4, 120 (2024).
- H. Dixit, N. Tandon, S. Cottenier, R. Saniz, D. Lamoen, B. Partoens, V. Van Speybroeck, and M. Waroquier, New J. Phys. 13, 063002 (2011).
- R. J. Elliott, Phys. Rev. 108, 1384 (1957).
- Y. Toyozawa, Prog. Theor. Phys. 20, 53 (1958).
- M. Feneberg, J. Nixdorf, C. Lidig, R. Goldhahn, Z. Galazka, O. Bierwagen, and J. S. Speck, Phys. Rev. B 93, 045203 (2016).
- S. Shokhovets, L. Kirste, J. H. Leach, S. Krischok, and M. Himmerlich, J. Appl. Phys. 122, 045706 (2017).
- O. M. Bordun, I. Y. Kukharskyy, and V. G. Bihday, J. Appl. Spectrosc. 78, 922 (2012).
- C. Mével, J. Carreaud, G. Delaizir, J.-R. Duclère, F. Brisset, J. Bourret, P. Carles, C. Genevois, M. Allix, and S. Chenu, J. Eur. Ceram. Soc. 41, 4934 (2021).
- M. Hilfiker, E. Williams, U. Kilic, Y. Traouli, N. Koeppe, J. Rivera, A. Abakar, M. Stokey, R. Korlacki, Z. Galazka, K. Irmscher, and M. Schubert, Appl. Phys. Lett. 120, 132105 (2022).
- S. K. Sampath, D. G. Kanhere, and R. Pandey, J. Phys.: Condens. Matter 11, 3635 (1999).
- S. López-Moreno, P. Rodríguez-Hernández, A. Muñoz, A. H. Romero, F. J. Manjón, D. Errandonea, E. Rusu, and V. V. Ursaki, Ann. Phys. 523, 157 (2011).
- S. Zhang, J. Xiahou, X. Sun, and Q. Zhu, Coatings 12, 1239 (2022).
- J. A. Khan, Y. Maithani, R. H. Horng, and J. Singh, Ceram. Int. 48, 27064 (2022).
- H. Kang, J. Kim, M. Lee, J. Bahng, J. Choi, H. Park, G. Kim, T. Kim, Y. Hwang, S. Mho, S. Eom, Y. Yu, H. Song, and W. Kim, Solid State Commun. 122, 633 (2002).
- Z. Shi, S. Li, Z. Zheng, X. Feng, Z. Fang, J. Yang, and B. Tang, J. Electron. Mater. 53, 2240 (2024).
- V. D'Ippolito, G. B. Andreozzi, D. Bersani, and P. P. Lottici, J. Raman Spectrosc. 46, 1255 (2015).
- H. Cynn, S. K. Sharma, T. F. Cooney, and M. Nicol, Phys. Rev. B 45, 500 (1992).
- M. Ishii, J. Hiraishi, and T. Yamanaka, Phys. Chem. Miner. 8, 64 (1982).
- S. P. Slotznick and S.-H. Shim, Am. Mineral. 93, 470 (2008).
- Y. Ma, X. Bao, Z. Sui, X. Zhao, and X. Liu, Solid Earth Sci. 7, 60 (2022).
- N. V. Minh and I.-S. Yang, Vib. Spectrosc. 35, 93 (2004).
- N. Obradović, S. Filipović, W. G. Fahrenholtz, B. A. Marinković, J. Rogan, S. Lević, A. Ďordević, and V. B. Pavlović, Sci. Sinter. 55, 1 (2023).
- M. O'Horo, A. Frisillo, and W. White, J. Phys. Chem. Solids 34, 23 (1973).
- C. J. Zollner, T. I. Willett-Gies, S. Zollner, and S. Choi, Thin Solid Films 571, 689 (2014).
- L. M. Fraas, J. E. Moore, and J. B. Salzberg, J. Chem. Phys. 58, 3585 (1973).
- M. Lazzeri and P. Thibaudeau, Phys. Rev. B 74, 140301(R) (2006).
- B. M. Janzen, R. Gillen, Z. Galazka, J. Maultzsch, and M. R. Wagner, Phys. Rev. Mater. 6, 054601 (2022).
- A. Fiedler, M. Ramsteiner, Z. Galazka, and K. Irmscher, Appl. Phys. Lett. 117, 152107 (2020).
- M. Ramsteiner, J. Feldl, and Z. Galazka, Semicond. Sci. Technol. 35, 015017 (2020).
- F. Cerdeira, T. A. Fjeldly, and M. Cardona, Phys. Rev. B 8, 4734 (1973).
- U. Fano, Phys. Rev. 124, 1866 (1961).
- J. Wagner and M. Cardona, Phys. Rev. B 32, 8071 (1985).
- V. G. Ivanov, M. V. Abrashev, M. N. Iliev, M. M. Gospodinov, J. Meen, and M. I. Aroyo, Phys. Rev. B 82, 024104 (2010).
- M. A. Laguna-Bercero, M. L. Sanjuán, and R. I. Merino, J. Phys.: Condens. Matter 19, 186217 (2007).
- C. Haas, J. Phys. Chem. Solids 26, 1225 (1965).
- V. G. Keramidas, B. A. Deangelis, and W. B. White, J. Solid State Chem. 15, 233 (1975).
- W. White and B. DeAngelis, Spectrochim. Acta Part A 23, 985 (1967).