Diffusion of phonons through (along and across) the ultrathin crystalline films
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Instead of usual approach, applying displacement-displacement Green's functions, the momentum-momentum Green's functions will be used to calculate the diffusion tensor. With this type of Green's function we have calculated and analyzed dispersion law in film-structures. A small number of phonon energy levels along the direction of boundary surfaces joint of the film are discrete-ones and in this case standing waves could occur. This is consequence of quantum size effects. These Green's functions enter into Kubo's formula defining diffusion properties of the system and possible heat transfer direction through observed structures. Calculation of the diffusion tensor for phonons in film structure requires solving of the system of difference equations. Boundary conditions are included into mentioned system through the Hamiltonian of the film-structure. It has been shown that the diagonal elements of the diffusion tensor express discrete behavior of the dispersion law of elementary excitati...ons. More important result is that they are temperature independent and that their values are much higher comparing with bulk structures. This result favors better heat conduction of the film, but in direction which is perpendicular to boundary film surface. In the same time this significantly favors appearance 2D superconducting surfaces inside the ultra-thin crystal structure, which are parallel to the boundary surface.
Кључне речи:
Thin films / Phonons / Green's functions / Diffusion tensorИзвор:
Physica a-statistical mechanics and its applications, 2017, 486, 839-848Издавач:
- Elsevier Science Bv, Amsterdam
Финансирање / пројекти:
- Дизајнирање и моделовање специфичних особина наноструктурних узорака (RS-MESTD-Basic Research (BR or ON)-171039)
- Иновирање форензичких метода и њихова примена (RS-MESTD-Technological Development (TD or TR)-34019)
- Ministry of Science and Technological Development of the Republic of Srpska
- Provincial Secretariat for High Education, Science and Technological Development of Vojvodina
Напомена:
- This is the peer-reviewed version of the article: Šetrajčić, Jovan P., Stevo Jaćimovski, and Siniša M. Vučenović. 2017. ‘Diffusion of Phonons through (along and across) the Ultrathin Crystalline Films’. Physica A-Statistical Mechanics and Its Applications 486: 839–48. https://doi.org/10.1016/j.physa.2017.06.003
DOI: 10.1016/j.physa.2017.06.003
ISSN: 0378-4371
WoS: 000406988000070
Scopus: 2-s2.0-85021062974
Институција/група
JakovTY - JOUR AU - Šetrajčić, Jovan P. AU - Jaćimovski, Stevo AU - Vučenović, Siniša M. PY - 2017 UR - http://jakov.kpu.edu.rs/handle/123456789/895 AB - Instead of usual approach, applying displacement-displacement Green's functions, the momentum-momentum Green's functions will be used to calculate the diffusion tensor. With this type of Green's function we have calculated and analyzed dispersion law in film-structures. A small number of phonon energy levels along the direction of boundary surfaces joint of the film are discrete-ones and in this case standing waves could occur. This is consequence of quantum size effects. These Green's functions enter into Kubo's formula defining diffusion properties of the system and possible heat transfer direction through observed structures. Calculation of the diffusion tensor for phonons in film structure requires solving of the system of difference equations. Boundary conditions are included into mentioned system through the Hamiltonian of the film-structure. It has been shown that the diagonal elements of the diffusion tensor express discrete behavior of the dispersion law of elementary excitations. More important result is that they are temperature independent and that their values are much higher comparing with bulk structures. This result favors better heat conduction of the film, but in direction which is perpendicular to boundary film surface. In the same time this significantly favors appearance 2D superconducting surfaces inside the ultra-thin crystal structure, which are parallel to the boundary surface. PB - Elsevier Science Bv, Amsterdam T2 - Physica a-statistical mechanics and its applications T1 - Diffusion of phonons through (along and across) the ultrathin crystalline films VL - 486 SP - 839 EP - 848 DO - 10.1016/j.physa.2017.06.003 ER -
@article{ author = "Šetrajčić, Jovan P. and Jaćimovski, Stevo and Vučenović, Siniša M.", year = "2017", abstract = "Instead of usual approach, applying displacement-displacement Green's functions, the momentum-momentum Green's functions will be used to calculate the diffusion tensor. With this type of Green's function we have calculated and analyzed dispersion law in film-structures. A small number of phonon energy levels along the direction of boundary surfaces joint of the film are discrete-ones and in this case standing waves could occur. This is consequence of quantum size effects. These Green's functions enter into Kubo's formula defining diffusion properties of the system and possible heat transfer direction through observed structures. Calculation of the diffusion tensor for phonons in film structure requires solving of the system of difference equations. Boundary conditions are included into mentioned system through the Hamiltonian of the film-structure. It has been shown that the diagonal elements of the diffusion tensor express discrete behavior of the dispersion law of elementary excitations. More important result is that they are temperature independent and that their values are much higher comparing with bulk structures. This result favors better heat conduction of the film, but in direction which is perpendicular to boundary film surface. In the same time this significantly favors appearance 2D superconducting surfaces inside the ultra-thin crystal structure, which are parallel to the boundary surface.", publisher = "Elsevier Science Bv, Amsterdam", journal = "Physica a-statistical mechanics and its applications", title = "Diffusion of phonons through (along and across) the ultrathin crystalline films", volume = "486", pages = "839-848", doi = "10.1016/j.physa.2017.06.003" }
Šetrajčić, J. P., Jaćimovski, S.,& Vučenović, S. M.. (2017). Diffusion of phonons through (along and across) the ultrathin crystalline films. in Physica a-statistical mechanics and its applications Elsevier Science Bv, Amsterdam., 486, 839-848. https://doi.org/10.1016/j.physa.2017.06.003
Šetrajčić JP, Jaćimovski S, Vučenović SM. Diffusion of phonons through (along and across) the ultrathin crystalline films. in Physica a-statistical mechanics and its applications. 2017;486:839-848. doi:10.1016/j.physa.2017.06.003 .
Šetrajčić, Jovan P., Jaćimovski, Stevo, Vučenović, Siniša M., "Diffusion of phonons through (along and across) the ultrathin crystalline films" in Physica a-statistical mechanics and its applications, 486 (2017):839-848, https://doi.org/10.1016/j.physa.2017.06.003 . .