Phonon-Induced Thermodynamic Properties of Ultra-narrow Wires

• Authors: D. Ilić , J. Šetrajčić , S. Jaćimovski
• Languages of publication: EN

Abstracts

EN

In this paper, we investigated the influence of size effect on thermodynamic properties of ultra-narrow wires with a simple cubic lattice, by means of two-time dependent Green functions method, adjusted to confined crystalline structures. Poles of Green functions, which defining phonon spectra, are found by solving the secular equation. For different boundary parameters, this problem is presented graphically. The temperature behavior of ultra-narrow wire thermal capacitance is compared to that of bulk structures. It turned out that in low-temperature region thermal capacitance of the ultra-narrow wire is notably lower than in the corresponding bulk sample. How this fact reflects the thermal, conducting and superconducting properties of materials, is discussed in the conclusion.

Keywords

EN

Phonons; ultra-narrow wire; the Green function; thermodynamics; specific heat

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2018
• Volume: 133
• Issue: 1
• Pages: 57-62

Dates

published

2018-01

received

2017-04-01

(unknown)

2017-12-20

Contributors

author

D. Ilić

• University of Novi Sad, Faculty of Technical Sciences, Serbia

author

J. Šetrajčić

• University of Novi Sad, Faculty of Sciences, Department of Physics, Serbia

author

S. Jaćimovski

• Academy of Criminalistic and Police Studies, Belgrade, Serbia

References

• [1] A.A. Balandin, D.L. Nika, Materials Today 15, 266 (2012), doi: 10.1016/S1369-7021(12)70117-7
• [2] A.A. Balandin, Moldavian Journal of the Physical Sciences 6, 1 (2007) http://nano.asm.md/uploads/moldphys/2007/vol6/n1/06_balandin_nanophononics.pdf
• [3] N. Yang, X. Xu, G. Zhang, B. Li, AIP Advances 2, 041410 (2012), doi: 10.1063/1.4773462
• [4] J.P. Šetrajčić, S.K. Jaćimovski, V.D. Sajfert, Modern Physics Letters B 29, 1550008 (2015), doi: 10.1142/S0217984915500086
• [5] P. Harrison, Quantum Wells, Wires, Dots, John Wiley&Sons, Chichester 2005, doi: 10.1002/0470010827
• [6] C.N.R.Rao, A.Govindaraj, Nanotubes, Nanowires, RSC Publishing, Cambridge 2005, doi: 10.1039/9781849732840
• [7] M.A. Reed, W.P. Kirk, Nanostructure Physics and Fabrication, Eds.: M.A. Reed, W.P. Kirk, Academic Press, Boston 1989; ISBN: 9780323138956 http://elsevier.com/books/nanostructure-physics-and-fabrication/reed/978-0-12-585000-1
• [8] M.G. Cottam, D.R. Tilley, Introduction to Surface, Superlattice Excitations, University Press, Cambridge 1989, doi: 10.1017/CBO9780511599804
• [9] S.G. Davison, M. Steslicka, Basic Theory of Surface States, Clarendon, Oxford 1996; ISBN: 9780198518969 http://global.oup.com/academic/product/basic-theory-of-surface-states-9780198518969?cc=rs&lang=en&#
• [10] S.K. Jaćimovski, D.I. Ilić, I.K. Junger, J.P. Šetrajčić, Novi Sad J. Math. 31, 55 (2001) http://dmi.uns.ac.rs/nsjom/Papers/31_1/NSJOM_31_1_055_064.pdf
• [11] J.P. Šetrajčić, S.K. Jaćimovski, D. Raković, D.I. Ilić, Phonon Spectra in Crystalline Nanostructures, in: Electrical, Computer Engineering Series, pp. 146; Advances in Simulation, Systems Theory, Systems Engineering, Eds.: N.E. Mastorakis, V.V. Kluev, Dj. Koruga, WSEAS Press, Singapore 2002 http://books.google.pl/books/about/Advances_in_simulation_systems_theory_an.html?id=gybHAQAACAAJ&redir_esc=y
• [12] C. Kittel, Introduction to Solid State Physics, Wiley, New York 1986; ISBN 978-0-471-41526-8 http://wiley.com/en-rs/Introduction+to+Solid+State+Physics,+8th+Edition-p-9780471415268
• [13] G. Rickayzen, Green Functions and Condensed Matter, Academic Press, London 1980 http://books.google.pl/books?id=cZnvAAAAMAAJ
• [14] W. Jones, N.H. March, Theoretical Solid State Physics, Vol. 2, Dover, New York 1985 http://books.google.rs/books?id=7eTq_ndhFpgC&pg=PR3&hl=sr&source=gbs_selected_pages&cad=2#v=&q&f=false
• [15] J.P. Šetrajčić, V.M. Zorić, S.M. Vučenović, D.Lj. Mirjanić, V.D. Sajfert, S.K. Jaćimovski, D.I. Ilić, Materials Science Forum 555, 291 (2007), doi: 10.4028/www.scientific.net/MSF.555.291
• [16] J.P. Šetrajčić, D.Lj. Mirjanić, S.M. Vučenović, D.I. Ilić, B. Markoski, S.K. Jaćimovski, V.D. Sajfert, V.M. Zorić, Acta. Phys. Pol. A 115, 778 (2009), doi: 10.12693/APhysPolA.115.778
• [17] S.K.Jaćimovki, J.P. Šetrajčić, M.S. Jaćimovski, V.V. Stojanović, Acta. Phys. Pol. A 126, 811 (2014), doi: 10.12693/APhysPolA.126.811
• [18] J.P. Šetrajčić, S.K. Jaćimovski, NBP 20, 67 (2015); ISSN 0354-8872 http://kpa.edu.rs/cms/data/akademija/nbp/NBP_2015_3.pdf
• [19] J.P. Šetrajčić, V.D. Sajfert, S.K.Jaćimovski, Rev. Theor. Sci. 4, 353 (2016), doi: 10.1166/rits.2016.1067
• [20] J.P. Šetrajčić, S.K. Jaćimovski, S.M. Vučenović, Academy of Criminalistic, Police Studies, Zemun - Belgrade (2017), doi: 10.5937/NBP1503067J
• [21] B.S. Tošić, J.P. Šetrajčić, R.P. Djajić, D.Lj. Mirjanić, Phys. Rev. B 36, 9094 (1987), doi: 10.1103/PhysRevB.36.9094
• [22] J.P. Šetrajčić, V.M. Zorić, N.V. Delić, D.Lj. Mirjanić, S.K.Jaćimovski, in: Thermodynamics, Ed.: M. Tadashi, InTech, Vienna 2011, Ch. 15, p. 317, doi: 10.5772/13713
• [23] J.P. Šetrajčić, Zaštita materijala 57, 81 (2016), doi: 10.5937/ZasMat1404351O

Identifiers

DOI

10.12693/APhysPolA.131.57