Symmetry of linear dielectric response tensors: Dispersion
models fulfilling three fundamental conditions

J 2020

Symmetry of linear dielectric response tensors: Dispersion models fulfilling three fundamental conditions

FRANTA, Daniel

Základní údaje

Originální název

Symmetry of linear dielectric response tensors: Dispersion models fulfilling three fundamental conditions

Autoři

FRANTA, Daniel (203 Česká republika, garant, domácí)

Vydání

Journal of applied physics, Melville, American Institute of Physics, 2020, 0021-8979

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10306 Optics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Impakt faktor

Impact factor: 2.546

Kód RIV

RIV/00216224:14310/20:00116683

Organizační jednotka

Přírodovědecká fakulta

DOI

http://dx.doi.org/10.1063/5.0005735

UT WoS

000540573200001

Klíčová slova anglicky

optical activity; sum rule

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 19. 10. 2020 16:30, Mgr. Marie Šípková, DiS.

Anotace

V originále

Physically correct dispersion models must fulfill three fundamental conditions (time-reversal symmetry, Kramers-Kronig consistency, and conformity with sum rules). The application of these conditions on systems exhibiting low crystal symmetry, spatial dispersion, and/or magneto-optic effects is a non-trivial task. The aim of this contribution is to present an approach using decomposition of dielectric tensors into a set of independent spectral functions. For the derivation, the most general case of anisotropic dielectric response with optical activity is considered. The contribution discusses both the natural optical activity exhibiting spatial dispersion and the local magneto-optic effect of rotation of the plane of polarization induced by the external magnetic field. If the response tensor is expressed up to the term linear in the direction of the wave vector, then its symmetry can be classified into 16 types. Formulas expressing each type of the dielectric tensor using independent spectral functions are presented (the most complex case with the lowest symmetry requires 15 spectral functions). The symmetry for different internal and external conditions is demonstrated with the help of several simple models based on solving the classical equations of motion. It is shown that interpreting free particles in the magnetic field as bound particles is not correct. Instead, the Landau levels in a non-dissipative system must be interpreted as splitting of diamagnetic part of the dielectric response, rather than energy of bound states. Published under license by AIP Publishing.

Návaznosti

LM2018097, projekt VaV

Název: Centrum výzkumu a vývoje plazmatu a nanotechnologických povrchových úprav (Akronym: CEPLANT)

Investor: Ministerstvo školství, mládeže a tělovýchovy ČR, R&D centre for plasma and nanotechnology surface modifications

Citovat

FRANTA, Daniel. Symmetry of linear dielectric response tensors: Dispersion models fulfilling three fundamental conditions. Journal of applied physics. Melville: American Institute of Physics, 2020, roč. 127, č. 22, s. 1-17. ISSN 0021-8979. Dostupné z: https://dx.doi.org/10.1063/5.0005735.

@article{1686030,
   author = {Franta, Daniel},
   article_location = {Melville},
   article_number = {22},
   doi = {http://dx.doi.org/10.1063/5.0005735},
   keywords = {optical activity; sum rule},
   language = {eng},
   issn = {0021-8979},
   journal = {Journal of applied physics},
   title = {Symmetry of linear dielectric response tensors: Dispersion models fulfilling three fundamental conditions},
   url = {https://doi.org/10.1063/5.0005735},
   volume = {127},
   year = {2020}
}

TY  - JOUR
ID  - 1686030
AU  - Franta, Daniel
PY  - 2020
TI  - Symmetry of linear dielectric response tensors: Dispersion models fulfilling three fundamental conditions
JF  - Journal of applied physics
VL  - 127
IS  - 22
SP  - 1-17
EP  - 1-17
PB  - American Institute of Physics
SN  - 00218979
KW  - optical activity
KW  - sum rule
UR  - https://doi.org/10.1063/5.0005735
L2  - https://doi.org/10.1063/5.0005735
N2  - Physically correct dispersion models must fulfill three fundamental conditions (time-reversal symmetry, Kramers-Kronig consistency, and conformity with sum rules). The application of these conditions on systems exhibiting low crystal symmetry, spatial dispersion, and/or magneto-optic effects is a non-trivial task. The aim of this contribution is to present an approach using decomposition of dielectric tensors into a set of independent spectral functions. For the derivation, the most general case of anisotropic dielectric response with optical activity is considered. The contribution discusses both the natural optical activity exhibiting spatial dispersion and the local magneto-optic effect of rotation of the plane of polarization induced by the external magnetic field. If the response tensor is expressed up to the term linear in the direction of the wave vector, then its symmetry can be classified into 16 types. Formulas expressing each type of the dielectric tensor using independent spectral functions are presented (the most complex case with the lowest symmetry requires 15 spectral functions). The symmetry for different internal and external conditions is demonstrated with the help of several simple models based on solving the classical equations of motion. It is shown that interpreting free particles in the magnetic field as bound particles is not correct. Instead, the Landau levels in a non-dissipative system must be interpreted as splitting of diamagnetic part of the dielectric response, rather than energy of bound states. Published under license by AIP Publishing.
ER  -

FRANTA, Daniel. Symmetry of linear dielectric response tensors: Dispersion models fulfilling three fundamental conditions. \textit{Journal of applied physics}. Melville: American Institute of Physics, 2020, roč.~127, č.~22, s.~1-17. ISSN~0021-8979. Dostupné z: https://dx.doi.org/10.1063/5.0005735.

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