Title
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Low-temperature specific heat of nanotube systems
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Author
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Abstract
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The low-temperature specific heat of single-walled carbon nanotubes (isolated and bundled) and multiwalled carbon nanotubes is calculated within force-constant dynamical models. It is shown that, due to the quadratic dependence of the frequency omega of the transverse-acoustic phonons on the wave number q, the phonon density of states has a singularity of the type 1/rootomega and the very low-temperature specific heat varies as rootT with the temperature T. With the increase of the diameter of the system, the contributions of the longitudinal- and torsional-acoustic phonons to the specific heat begin to prevail and the latter becomes linear in T. These results are confirmed by the recent experimental data. |
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Language
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English
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Source (journal)
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Physical review : B : condensed matter and materials physics. - Lancaster, Pa, 1998 - 2015
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Publication
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Lancaster, Pa
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2002
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ISSN
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1098-0121
[print]
1550-235X
[online]
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DOI
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10.1103/PHYSREVB.66.153408
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Volume/pages
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66
:15
(2002)
, p. 1-4
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Article Reference
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153408
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ISI
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000179080800037
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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Full text (open access)
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