A generalization of the Lyddane-Sachs-Teller relation is presented for polar
vibrations in materials with monoclinic and triclinic crystal systems. The
generalization is derived from an eigen displacement vector summation approach,
which is equivalent to the microscopic Born-Huang description of polar lattice
vibrations. An expression for a general oscillator strength is also described
for materials with monoclinic and triclinic crystal systems. A generalized
factorized dielectric response function characteristic for monoclinic and
triclinic materials is proposed. The generalized Lyddane-Sachs-Teller relation
is found valid for monoclinic $\beta$-Ga$_2$O$_3$, where accurate experimental
data became available recently from a comprehensive generalized ellipsometry
investigation. Data for triclinic crystal systems can be measured by
generalized ellipsometry as well, and are anticipated to become available soon
and results can be compared with the generalized relations presented hereComment: 5 pages, 1 figur

Schubert, Mathias

English

arXiv

A coordinate-invariant generalization of the Lyddane-Sachs-Teller relation is presented for polar vibrations in materials with monoclinic and triclinic crystal systems. The generalization is derived from an eigendielectric displacement vector summation approach, which is equivalent to the microscopic Born-Huang description of polar lattice vibrations in the harmonic approximation. An expression for a general oscillator strength is also described for materials with monoclinic and triclinic crystal systems. A generalized factorized form of the dielectric response characteristic for monoclinic and triclinic materials is proposed. The generalized Lyddane-Sachs-Teller relation is found valid for monoclinic beta-Ga2O3, where accurate experimental data became available recently from a comprehensive generalized ellipsometry investigation [Phys. Rev. B 93, 125209 (2016)]. Data for triclinic crystal systems can be measured by generalized ellipsometry as well, and are anticipated to become available soon and results can be compared with the generalized relations presented here.Funding Agencies|National Science Foundation (NSF) through the Center for Nanohybrid Functional Materials [EPS 1004094]; Nebraska Materials Research Science and Engineering Center [DMR 1420645]; [CMMI 1337856]</p

Publikationer från Linköpings universitet

Coordinate-Invariant Lyddane-Sachs-Teller Relationship for Polar Vibrations in Materials with Monoclinic and Triclinic Crystal Systems

Mathias Schubert

Crossref

Physical Review Letters

Digitala Vetenskapliga Arkivet - Academic Archive On-line

A coordinate-invariant generalization of the Lyddane-Sachs-Teller relation is presented for polar vibrations in materials with monoclinic and triclinic crystal systems. The generalization is derived from an eigendielectric displacement vector summation approach, which is equivalent to the microscopic Born-Huang description of polar lattice vibrations in the harmonic approximation. An expression for a general oscillator strength is also described for materials with monoclinic and triclinic crystal systems. A generalized factorized form of the dielectric response characteristic for monoclinic and triclinic materials is proposed. The generalized Lyddane-Sachs-Teller relation is found valid for monoclinic beta-Ga2O3, where accurate experimental data became available recently from a comprehensive generalized ellipsometry investigation [Phys. Rev. B 93, 125209 (2016)]. Data for triclinic crystal systems can be measured by generalized ellipsometry as well, and are anticipated to become available soon and results can be compared with the generalized relations presented here.</p

Schubert, Mathias,

Swepub

Coordinate-Invariant Lyddane-Sachs-Teller Relationship for Polar Vibrations in Materials with Monoclinic and Triclinic Crystal Systems [Elektronisk resurs]

Academic Archive On-line (Linköping University, Sweden)

A coordinate-invariant generalization of the Lyddane-Sachs-Teller relation is presented for polar vibrations in materials with monoclinic and triclinic crystal systems. The generalization is derived from an eigendielectric displacement vector summation approach, which is equivalent to the microscopic Born-Huang description of polar lattice vibrations in the harmonic approximation. An expression for a general oscillator strength is also described for materials with monoclinic and triclinic crystal systems. A generalized factorized form of the dielectric response characteristic for monoclinic and triclinic materials is proposed. The generalized Lyddane-Sachs-Teller relation is found valid for monoclinic β-Ga2O3, where accurate experimental data became available recently from a comprehensive generalized ellipsometry investigation [Phys. Rev. B 93, 125209 (2016)]. Data for triclinic crystal systems can be measured by generalized ellipsometry as well, and are anticipated to become available soon and results can be compared with the generalized relations presented here

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