Heat capacity of suspended phonon cavities
| dc.creator | Gusso, Andre | |
| dc.creator | Rego, Luis G. C. | |
| dc.date | 2006-12-18 | |
| dc.date | 2006-12-19 | |
| dc.date.accessioned | 2026-07-07T13:03:28Z | |
| dc.date.available | 2026-07-07T13:03:28Z | |
| dc.description | We present a detailed analysis of the vibrational spectrum and heat capacity of suspended mesoscopic dielectric plates, for various thickness-to-side ratios at sub-Kelvin temperatures. The vibrational modes of the suspended cavity are accurately obtained from the three-dimensional (3D) elastic equations in the small strain limit and their frequencies assigned to the cavity phonon modes. The calculations demonstrate that the heat capacity of realistic quasi-2D phonon cavities approach the linear dependence on T at sub-Kelvin temperatures. The behavior is more pronounced for the thinnest cavities, but takes place also for moderately thick structures, with thickness-to-side ratios $γ$=0.1 to 0.2. It is also demonstrated that the heat capacity of the suspended phonon cavities is invariant under the product of the temperature (T) with a characteristic lateral dimension (L) of the sample. The present results establish a lower bound for the heat capacity of suspended mesoscopic structures and indicate the emergence of the quantum mechanical regime in the dynamics of bounded phonon cavities. | |
| dc.description | 7 pages, double column, 3 figures. To appear in Phys. Rev. B | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0612463 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0612463 | |
| dc.identifier | Phys. Rev. B 75, 045320 (2007) | |
| dc.identifier | doi:10.1103/PhysRevB.75.045320 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226813 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Heat capacity of suspended phonon cavities | |
| dc.type | text |