J 2017

Temperature-dependent dispersion model of float zone crystalline silicon

FRANTA, Daniel, Adam DUBROKA, Chennan WANG, Angelo GIGLIA, Jiří VOHÁNKA et. al.

Basic information

Original name

Temperature-dependent dispersion model of float zone crystalline silicon

Authors

FRANTA, Daniel (203 Czech Republic, guarantor, belonging to the institution), Adam DUBROKA (203 Czech Republic, belonging to the institution), Chennan WANG (156 China, belonging to the institution), Angelo GIGLIA (380 Italy), Jiří VOHÁNKA (203 Czech Republic, belonging to the institution), Pavel FRANTA (203 Czech Republic, belonging to the institution) and Ivan OHLÍDAL (203 Czech Republic, belonging to the institution)

Edition

Applied Surface Science, Amsterdam, Elsevier Science, 2017, 0169-4332

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10302 Condensed matter physics

Country of publisher

Netherlands

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

Impact factor

Impact factor: 4.439

RIV identification code

RIV/00216224:14310/17:00094432

Organization unit

Faculty of Science

UT WoS

000408756700023

Keywords in English

Crystalline silicon;Optical constants;Temperature dependence;Ellipsometry;Spectrophotometry;Sum rule

Tags

Tags

International impact, Reviewed
Změněno: 12/4/2018 11:59, Ing. Nicole Zrilić

Abstract

V originále

In this paper, we present the temperature dependent dispersion model of float zone crystalline silicon. The theoretical background for valence electronic excitations is introduced in the theoretical part of this paper. This model is based on application of sum rules and parametrization of transition strength functions corresponding to the individual elemental phonon and electronic excitations. The parameters of the model are determined by fitting ellipsometric and spectrophotometric experimental data in the spectral range from far infrared (70 cm-1) to extreme ultraviolet (40 eV). The ellipsometric data were measured in the temperature range 5-700 K. The excitations of the valence electrons to the conduction band are divided into the indirect and direct electronic transitions. The indirect transitions are modeled by truncated Lorentzian terms, whereas the direct transitions are modeled using Gaussian broadened piecewise smooth functions representing 3D and 2D van Hove singularities modified by excitonic effects. Since the experimental data up to high energies (40 eV) are available, we are able to determine the value of the effective number of valence electrons. The Tauc-Lorentz dispersion model is used for modeling high energy electron excitations. Two slightly different values of the effective number of valence electrons are obtained for the Jellison-Modine (4.51) and Campi-Coriasso (4.37) parametrization. Our goal is to obtain the model of dielectric response of crystalline silicon which depends only on photon energy, temperature and small number of material parameters, e.g. the concentration of substituted carbon and interstitial oxygen. The model presented in this paper is accurate enough to replace tabulated values of c-Si optical constants used in the optical characterization of thin films placed onto silicon substrates. The spectral dependencies of the optical constants obtained in our work are compared to results obtained by other authors.

Links

ED2.1.00/03.0086, research and development project
Name: Regionální VaV centrum pro nízkonákladové plazmové a nanotechnologické povrchové úpravy
LO1411, research and development project
Name: Rozvoj centra pro nízkonákladové plazmové a nanotechnologické povrchové úpravy (Acronym: CEPLANT plus)
Investor: Ministry of Education, Youth and Sports of the CR
LQ1601, research and development project
Name: CEITEC 2020 (Acronym: CEITEC2020)
Investor: Ministry of Education, Youth and Sports of the CR
TA02010784, research and development project
Name: Optimalizace vrstevnatých systémů používaných v optickém průmyslu
Investor: Technology Agency of the Czech Republic