Electron Polarons in Lithium Niobate: Charge Localization, Lattice Deformation, and Optical Response

oleh: Falko Schmidt, Agnieszka L. Kozub, Uwe Gerstmann, Wolf Gero Schmidt, Arno Schindlmayr

Format: Article
Diterbitkan: MDPI AG 2021-05-01

Deskripsi

Lithium niobate (LiNbO<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mrow></mrow><mn>3</mn></msub></semantics></math></inline-formula>), a material frequently used in optical applications, hosts different kinds of polarons that significantly affect many of its physical properties. In this study, a variety of electron polarons, namely free, bound, and bipolarons, are analyzed using first-principles calculations. We perform a full structural optimization based on density-functional theory for selected intrinsic defects with special attention to the role of symmetry-breaking distortions that lower the total energy. The cations hosting the various polarons relax to a different degree, with a larger relaxation corresponding to a larger gap between the defect level and the conduction-band edge. The projected density of states reveals that the polaron states are formerly empty Nb <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>4</mn><mi>d</mi></mrow></semantics></math></inline-formula> states lowered into the band gap. Optical absorption spectra are derived within the independent-particle approximation, corrected by the <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>G</mi><mi>W</mi></mrow></semantics></math></inline-formula> approximation that yields a wider band gap and by including excitonic effects within the Bethe–Salpeter equation. Comparing the calculated spectra with the density of states, we find that the defect peak observed in the optical absorption stems from transitions between the defect level and a continuum of empty Nb <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mn>4</mn><mi>d</mi></mrow></semantics></math></inline-formula> states. Signatures of polarons are further analyzed in the reflectivity and other experimentally measurable optical coefficients.