Optical phonon modes, static and high-frequency dielectric constants, and effective electron mass parameter in cubic In2O3
- 8 June 2021
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 129 (22), 225102
- https://doi.org/10.1063/5.0052848
Abstract
A complete set of all optical phonon modes predicted by symmetry for bixbyite structure indium oxide is reported here from a combination of far-infrared and infrared spectroscopic ellipsometry, as well as first principles calculations. Dielectric function spectra measured on high quality, marginally electrically conductive melt grown single bulk crystals are obtained on a wavelength-by-wavelength (also known as point-by-point) basis and by numerical reduction of a subtle free charge carrier Drude model contribution. A four-parameter semi-quantum model is applied to determine all 16 pairs of infrared-active transverse and longitudinal optical phonon modes, including the high-frequency dielectric constant, . The Lyddane–Sachs–Teller relation then gives access to the static dielectric constant, . All experimental results are in excellent agreement with our density functional theory calculations and with previously reported values, where existent. We also perform optical Hall effect measurements and determine for the unintentionally doped -type sample a free electron density of , a mobility of /(Vs), and an effective mass parameter of . Density and mobility parameters compare very well with the results of electrical Hall effect measurements. Our effective mass parameter, which is measured independently of any other experimental technique, represents the bottom curvature of the point in in agreement with previous extrapolations. We use terahertz spectroscopic ellipsometry to measure the quasi-static response of , and our model validates the static dielectric constant obtained from the Lyddane–Sachs–Teller relation.
Keywords
Funding Information
- National Science Board (NSF DMR 1755479)
- National Science Board (NSF DMR 1808715)
- Nebraska Materials Research Science and Engineering Center (DMR 1420645)
- Leibniz Association
- Air Force Office of Scientific Research (FA9550-18-1-0360)
- Air Force Office of Scientific Research (FA9550-19-S-0003)
- Swedish Research Council (2016-00889)
- Swedish Foundation for Strategic Research (RIF14-055)
- Swedish Foundation for Strategic Research (EM16-0024)
- Swedish Governmental agency for innovation Systems VINNOVA (2016-05190)
- Knut och Alice Wallenbergs Stiftelse (Wide-bandgap semiconductors for next generation quantum components)
- Swedish Government Strategic Research Area in Materials Science on Functional Materials (2009-00971)
- American Chemical Society Petroleum Research Fund
- University of Nebraska Foundation
- J.A. Woollam Foundation
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