scholarly journals Local-field Effects in the High-q-vector Dielectric Response of Si

1993 ◽  
Vol 46 (5) ◽  
pp. 635 ◽  
Author(s):  
TW Josefsson ◽  
AE Smith

The influence of microscopic or local fields on the full frequency- and wavevector-dependent dielectric loss function of Si has been calculated, based on accurate empirical pseudopotential calculations of the electronic structure. It is shown that local-field effects, dramatically significant at optical (q ~ 0) wavevectors, diminish with increasing magnitude of q to negligible proportions as q approaches the Brillouin zone boundary. In addition it is shown that the calculated volume-plasmon dispersion relation is improved in comparison with experimental results by the inclusion of local-field effects.

2006 ◽  
Vol 958 ◽  
Author(s):  
Fabio Trani ◽  
Domenico Ninno ◽  
Giovanni Cantele ◽  
Giuseppe Iadonisi

ABSTRACTIn this paper we discuss the role of local fields in the optical properties of silicon nanocrystals. Using a semiempirical tight binding approach, local field effects are included into the linear response theory, going beyond the standard independent particle approximation. The results show that local field effects give an important contribution to the optical properties of silicon nanocrystals, leading to a strong suppression of the absorption in the visible spectral range. This effect is attributed to the classical surface polarization contribution. A comparison between the atomistic tight binding approach and a classical dielectric model shows that the dielectric model gives reasonable results not only for large, but even for small silicon nanocrystals.


2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Carlos A. M. André ◽  
João Dias

Abstract We consider smooth representations of the unit group G = A × G=\mathcal{A}^{\times} of a finite-dimensional split basic algebra 𝒜 over a non-Archimedean local field. In particular, we prove a version of Gutkin’s conjecture, namely, we prove that every irreducible smooth representation of 𝐺 is compactly induced by a one-dimensional representation of the unit group of some subalgebra of 𝒜. We also discuss admissibility and unitarisability of smooth representations of 𝐺.


2018 ◽  
Vol 98 (23) ◽  
Author(s):  
Tao Zhu ◽  
Paolo E. Trevisanutto ◽  
Teguh Citra Asmara ◽  
Lei Xu ◽  
Yuan Ping Feng ◽  
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Keyword(s):  

2000 ◽  
Vol 180 (1-3) ◽  
pp. 59-68 ◽  
Author(s):  
V.A. Malyshev ◽  
I.V. Ryzhov ◽  
E.D. Trifonov ◽  
A.I. Zaitsev

2021 ◽  
Vol 32 ◽  
Author(s):  
Hieu Nguyen-Truong

We calculate excitation spectra of cubic perovskites ATiO3 (A = Ca, Sr, Ba, Pb). The calculations are performed within the time-dependent density functional theory, including local field effects. The theoretical calculations show that the perovskites have a plasmon mode at around 12 eV, which is not observed in experiments.


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