Temperature dependent dispersion models applicable in solid
state physics

J 2019

Temperature dependent dispersion models applicable in solid state physics

FRANTA, Daniel; Jiří VOHÁNKA; Martin ČERMÁK; Pavel FRANTA; Ivan OHLÍDAL et. al.

Basic information

Original name

Temperature dependent dispersion models applicable in solid state physics

Authors

FRANTA, Daniel (203 Czech Republic, guarantor, belonging to the institution); Jiří VOHÁNKA (203 Czech Republic, belonging to the institution); Martin ČERMÁK (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

Journal of Electrical Engineering, Slovenská technická univezita v Bratislavě, 2019, 1335-3632

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10302 Condensed matter physics

Country of publisher

Slovakia

Confidentiality degree

is not subject to a state or trade secret

References:

URL

Impact factor

Impact factor: 0.686

RIV identification code

RIV/00216224:14310/19:00111216

Organization unit

Faculty of Science

DOI

https://doi.org/10.2478/jee-2019-0036

UT WoS

000489301300001

EID Scopus

2-s2.0-85073213129

Keywords in English

temperature dependent dielectrics dispersion model;Kramers-Kronig relation;crystalline silicon

Abstract

In the original language

Dispersion models are necessary for precise determination of the dielectric response of materials used in optical and microelectronics industry. Although the study of the dielectric response is often limited only to the dependence of the optical constants on frequency, it is also important to consider its dependence on other quantities characterizing the state of the system. One of the most important quantities determining the state of the condensed matter in equilibrium is temperature. Introducing temperature dependence into dispersion models is quite challenging. A physically correct model of dielectric response must respect three fundamental and one supplementary conditions imposed on the dielectric function. The three fundamental conditions are the time-reversal symmetry, Kramers-Kronig consistency and sum rule. These three fundamental conditions are valid for any material in any state. For systems in equilibrium there is also a supplementary dissipative condition. In this contribution it will be shown how these conditions can be applied in the construction of temperature dependent dispersion models. Practical results will be demonstrated on the temperature dependent dispersion model of crystalline silicon.

Links

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

Cite

FRANTA, Daniel; Jiří VOHÁNKA; Martin ČERMÁK; Pavel FRANTA and Ivan OHLÍDAL. Temperature dependent dispersion models applicable in solid state physics. Journal of Electrical Engineering. Slovenská technická univezita v Bratislavě, 2019, vol. 70, No 7, p. 1-15. ISSN 1335-3632. Available from: https://doi.org/10.2478/jee-2019-0036.

@article{1577498,
   author = {Franta, Daniel and Vohánka, Jiří and Čermák, Martin and Franta, Pavel and Ohlídal, Ivan},
   article_number = {7},
   doi = {https://doi.org/10.2478/jee-2019-0036},
   keywords = {temperature dependent dielectrics dispersion model;Kramers-Kronig relation;crystalline silicon},
   language = {eng},
   issn = {1335-3632},
   journal = {Journal of Electrical Engineering},
   title = {Temperature dependent dispersion models applicable in solid state physics},
   url = {https://doi.org/10.2478/jee-2019-0036},
   volume = {70},
   year = {2019}
}

TY  - JOUR
ID  - 1577498
AU  - Franta, Daniel - Vohánka, Jiří - Čermák, Martin - Franta, Pavel - Ohlídal, Ivan
PY  - 2019
TI  - Temperature dependent dispersion models applicable in solid state physics
JF  - Journal of Electrical Engineering
VL  - 70
IS  - 7
SP  - 1-15
EP  - 1-15
PB  - Slovenská technická univezita v Bratislavě
SN  - 13353632
KW  - temperature dependent dielectrics dispersion model;Kramers-Kronig relation;crystalline silicon
UR  - https://doi.org/10.2478/jee-2019-0036
L2  - https://doi.org/10.2478/jee-2019-0036
N2  - Dispersion models are necessary for precise determination of the dielectric response of materials used in optical and microelectronics industry. Although the study of the dielectric response is often limited only to the dependence of the optical constants on frequency, it is also important to consider its dependence on other quantities characterizing the state of the system. One of the most important quantities determining the state of the condensed matter in equilibrium is temperature. Introducing temperature dependence into dispersion models is quite challenging. A physically correct model of dielectric response must respect three fundamental and one supplementary conditions imposed on the dielectric function. The three fundamental conditions are the time-reversal symmetry, Kramers-Kronig consistency and sum rule. These three fundamental conditions are valid for any material in any state. For systems in equilibrium there is also a supplementary dissipative condition. In this contribution it will be shown how these conditions can be applied in the construction of temperature dependent dispersion models. Practical results will be demonstrated on the temperature dependent dispersion model of crystalline silicon.
ER  -

FRANTA, Daniel; Jiří VOHÁNKA; Martin ČERMÁK; Pavel FRANTA and Ivan OHLÍDAL. Temperature dependent dispersion models applicable in solid state physics. \textit{Journal of Electrical Engineering}. Slovenská technická univezita v Bratislavě, 2019, vol.~70, No~7, p.~1-15. ISSN~1335-3632. Available from: https://doi.org/10.2478/jee-2019-0036.

Přehled o publikaci