Phonon spectrum and specific heat of silicon nanowires

2007 ◽  
Vol 102 (10) ◽  
pp. 104303 ◽  
Author(s):  
Y. Zhang ◽  
J. X. Cao ◽  
Y. Xiao ◽  
X. H. Yan
Keyword(s):  
Specific Heat ◽  
Silicon Nanowires ◽  
Phonon Spectrum

scholarly journals THE PHONON SPECTRUM OF THE OCTAGONAL TILING

1993 ◽  
Vol 07 (06n07) ◽  
pp. 1505-1525 ◽  
Author(s):  
J. LOS ◽  
T. JANSSEN ◽  
F. GÄHLER
Keyword(s):  
Specific Heat ◽  
Density Of States ◽  
Phonon Spectrum ◽  
Low Frequency ◽  
Debye Model ◽  
Square Lattice ◽  
Total Density ◽  
Unit Cells ◽  
Linear Behaviour ◽  
Total Density Of States

A study of the phonon spectrum of the octagonal tiling is presented, by calculating and analysing the properties of the spectrum of perfect and randomized commensurate approximants with unit cells containing up to 8119 vertices. The total density of states, obtained by numerical integration over the Brillouin zone, exhibits much structure, and in the low frequency range of the spectrum there is deviation from the normal linear behaviour in the form of pseudogaps. For randomized approximants these pseudogaps disappear and the density of states is globally smoothened. It turns out that the widths of the gaps in the dispersion vanish in the low frequency limit. Therefore the scaling behaviour of the lowest branches tends to the behaviour of an absolutely continuous spectrum, which is not the case at higher frequencies. As an application, the vibrational specific heat of the different tiling models is calculated and compared to the specific heat of a square lattice and of a Debye model.

scholarly journals Calculation of Confined Phonon Spectrum in Narrow Silicon Nanowires Using the Valence Force Field Method

2013 ◽  
Vol 42 (7) ◽  
pp. 2091-2097 ◽  
Author(s):  
Hossein Karamitaheri ◽  
Neophytos Neophytou ◽  
Mohsen Karami Taheri ◽  
Rahim Faez ◽  
Hans Kosina
Keyword(s):  
Force Field ◽  
Silicon Nanowires ◽  
Phonon Spectrum ◽  
Field Method ◽  
Valence Force ◽  
Valence Force Field

A unified solution of the specific-heat–phonon spectrum inversion problem

2003 ◽  
Vol 61 (6) ◽  
pp. 723-728 ◽  
Author(s):  
DengMing Ming ◽  
Tao Wen ◽  
JiXin Dai ◽  
W. E Evenson ◽  
XianXi Dai
Keyword(s):  
Specific Heat ◽  
Phonon Spectrum ◽  
Inversion Problem ◽  
Spectrum Inversion

Phonon Spectrum and Specific Heat of Caesium Chloride

1965 ◽  
Vol 8 (1) ◽  
pp. 265-269 ◽  
Author(s):  
L. M. Tiwari ◽  
B. Sharan
Keyword(s):  
Specific Heat ◽  
Phonon Spectrum ◽  
Caesium Chloride

New exact solution formula for specific heat-phonon spectrum inversion and its application in studies of superconductivity

2000 ◽  
Vol 341-348 ◽  
pp. 1919-1920
Author(s):  
Tao Wen ◽  
JiXin Dai ◽  
Dengming Ming ◽  
William E. Evenson ◽  
Dai Xianxi
Keyword(s):  
Exact Solution ◽  
Specific Heat ◽  
Phonon Spectrum ◽  
Spectrum Inversion
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