Faculty of Sciences and Mathematics, University of Banja Luka, Banja Luka, Bosnia and Herzegovina
We have introduced a theory for the calculation of thermodynamic characteristics for some characteristic nanostructures (ultrathin films and superlattices), using the adapted method of two-time temperature Green's functions. In this paper, he has determined the coefficient of thermal conductivity using the definition of free energy and then compared their temperature dependence to the thermal conductivity behavior of the bulk structures. For the observed nanostructures, the thermal conductivity coefficient values are almost equal at low temperatures, but at the same time, significantly lower than the bulk sample values. That result could be useful for the possible achievement of better superconducting conditions in the observed compound nanostructures.
[{"id":125,"citationNumber":null,"type":"article-journal","title":"Phonon Contribution in Thermodynamics of Nano-Crystalline Films and Wires","DOI":null,"author":[{"given":"J.P.","family":"\u0160etraj\u010di\u0107"},{"given":"D.Lj","family":"Mirjani\u0107"},{"given":"S.M.","family":"Vu\u010denovi\u0107"},{"given":"D.I.","family":"Ili\u0107"},{"given":"B.","family":"Markoski"},{"given":"S.K.","family":"Ja\u0107imovski"},{"given":"V.D.","family":"Sajfert"},{"given":"V.M.","family":"Zori\u0107"}],"issued":{"date-parts":["2009"]},"container-title":"Acta Phys.Pol. A","volume":"115","issue":null,"page":"778\u2013782"}]
[{"id":126,"citationNumber":null,"type":"article-journal","title":"Phonon Participation in Thermodynamics and Superconductive Properties of Thin Ceramic Films","DOI":null,"author":[{"given":"J.P.","family":"\u0160etraj\u010di\u0107"},{"given":"V.M.","family":"Zori\u0107"},{"given":"N.V.","family":"Deli\u0107"},{"given":"D.Lj","family":"Mirjani\u0107"},{"given":"S.K.","family":"Ja\u0107imovski"}],"issued":{"date-parts":["2011"]},"container-title":"\u201eThermodynamics\u201d","volume":"15","issue":null,"page":"317\u2013348,"}]
[{"id":127,"citationNumber":null,"type":"article-journal","title":"Phonon Contribution to Heat Capacitance of Nanolayered Crystalline Structures","DOI":null,"author":[{"given":"J.P.","family":"\u0160etraj\u010di\u0107"},{"given":"S.K.","family":"Ja\u0107imovski"},{"given":"V.D.","family":"Sajfert"}],"issued":{"date-parts":[null]},"container-title":"Mod.Phys.Lett.B","volume":"29","issue":"4","page":"1550008"}]
[{"id":128,"citationNumber":null,"type":"journal-article","title":"Fundamental Preferences of the Phonon Engineering for Nanostructural Samples","DOI":"10.1166\/rits.2016.1067","author":[{"given":"Jovan P.","family":"\u0160etraj\u010dci\u00ed"},{"given":"Vjekoslav D.","family":"Sajfert"},{"given":"Stevo K.","family":"Ja\u0107cimovski"}],"issued":{"date-parts":["2016"]},"container-title":"Reviews in Theoretical Science","volume":"4","issue":"4","page":"353-401"}]
[{"id":129,"citationNumber":null,"type":"journal-article","title":"Diffusion of phonons through (along and across) the ultrathin crystalline films","DOI":"10.1016\/j.physa.2017.06.003","author":[{"given":"J.P.","family":"\u0160etraj\u010di\u0107"},{"given":"S.K.","family":"Ja\u0107imovski"},{"given":"S.M.","family":"Vu\u010denovi\u0107"}],"issued":{"date-parts":["2017"]},"container-title":"Physica A: Statistical Mechanics and its Applications","volume":"486","issue":null,"page":"839-848"}]
[{"id":130,"citationNumber":null,"type":"journal-article","title":"The influence of the surface parameter changes onto the phonon states in ultrathin crystalline films","DOI":"10.1016\/j.physa.2017.12.138","author":[{"given":"Jovan P.","family":"\u0160etraj\u010di\u0107"},{"given":"Du\u0161an I.","family":"Ili\u0107"},{"given":"Stevo K.","family":"Ja\u0107imovski"}],"issued":{"date-parts":["2018"]},"container-title":"Physica A: Statistical Mechanics and its Applications","volume":"496","issue":null,"page":"434-445"}]
[{"id":131,"citationNumber":null,"type":"chapter","title":"Statistical-Mechanical Theory of Irreversible Processes","DOI":null,"author":[{"given":"R.J.","family":"Kubo"}],"issued":{"date-parts":[null]},"container-title":"II. Response to Thermal Disturbance","volume":null,"issue":null,"page":null}]
[{"id":132,"citationNumber":null,"type":"article-journal","title":"","DOI":null,"author":[{"given":"V.M.","family":"Agranovich"},{"given":"M.D.","family":"Galanin"}],"issued":{"date-parts":["1978"]},"container-title":"Migration of Electron Energy Excitations in Condensed Matter, Nauka","volume":null,"issue":null,"page":null}]
[{"id":133,"citationNumber":null,"type":"chapter","title":"Phonon Engineering Theory of Crystalline Layered Nanostructures","DOI":null,"author":[{"given":"J.P.","family":"\u0160etraj\u010di\u0107"},{"given":"S.K.","family":"Ja\u0107imovski"},{"given":"V.D.","family":"Sajfert"}],"issued":{"date-parts":["2015"]},"container-title":"57, ISBN","volume":null,"issue":null,"page":"978\u2013 3659\u201380775\u20136,"}]
[{"id":134,"citationNumber":null,"type":"paper-conference","title":"Green's Functions in Quantum Statistical Physics","DOI":null,"author":[{"given":"J.P.","family":"\u0160etraj\u010di\u0107"},{"given":"S.K.","family":"Ja\u0107imovski"},{"given":"S.M.","family":"Vu\u010denovi\u0107"}],"issued":{"date-parts":["2022"]},"container-title":"Condensed Matter Physics, International Conference on Applied Sciences, Banja Luka","volume":null,"issue":null,"page":null}]
[{"id":135,"citationNumber":null,"type":"article-journal","title":"Statistical Physics","DOI":null,"author":[{"given":"A.","family":"Isihara"}],"issued":{"date-parts":[null]},"container-title":"ISBN","volume":"9781483274102","issue":null,"page":null}]
[{"id":136,"citationNumber":null,"type":"journal-article","title":"","DOI":null,"author":[],"issued":{"date-parts":["1971"]},"container-title":null,"volume":null,"issue":null,"page":null}]
[{"id":137,"citationNumber":null,"type":"journal-article","title":"Methods of Quantum Theory in Magnetism","DOI":null,"author":[{"given":"S.V.","family":"Tyablikov"}],"issued":{"date-parts":["1975"]},"container-title":null,"volume":null,"issue":null,"page":null}]
[{"id":138,"citationNumber":null,"type":"book","title":"Introduction to Solid State Physics","DOI":null,"author":[{"given":"C.","family":"Kittel"}],"issued":{"date-parts":["1986"]},"container-title":null,"volume":null,"issue":null,"page":null}]
[{"id":139,"citationNumber":null,"type":"journal-article","title":"Measurement of the Thermal Conductivity and Heat Capacity of Freestanding Shape Memory Thin Films Using the 3\u03c9 Method, J.Heat Transfer","DOI":null,"author":[{"given":"A.","family":"Jain"},{"given":"K.E.","family":"Goodson"}],"issued":{"date-parts":[null]},"container-title":null,"volume":null,"issue":null,"page":null}]
[{"id":140,"citationNumber":null,"type":"journal-article","title":"Phonons and Thermal Transport in Graphene and Graphene-Based Materials","DOI":"10.48550\/arXiv.1606.00488;","author":[{"given":"D.L.","family":"Nika"},{"given":"A.A.","family":"Balandin"}],"issued":{"date-parts":[null]},"container-title":null,"volume":null,"issue":null,"page":null}]
[{"id":141,"citationNumber":null,"type":"article-journal","title":"","DOI":null,"author":[],"issued":{"date-parts":["2017"]},"container-title":"Prog.Phys","volume":"80","issue":null,"page":"036502,"}]
[{"id":142,"citationNumber":null,"type":"article-journal","title":"Specific heat of twisted bilayer graphene: Engineering phonons by atomic plane rotations","DOI":null,"author":[{"given":"D.L.","family":"Nika"},{"given":"A.I.","family":"Cocemasov"},{"given":"A.A.","family":"Balandin"}],"issued":{"date-parts":["2014"]},"container-title":"Appl. Phys. Lett","volume":"105","issue":null,"page":"031904"}]
[{"id":143,"citationNumber":null,"type":"article-journal","title":"The Effect of Surface Roughness on Universal Thermal Conductance, 1","DOI":"10.1103\/PhysRevB.63.184306.","author":[{"given":"D.H.","family":"Santamore"},{"given":"M.C.","family":"Cross"}],"issued":{"date-parts":["2001"]},"container-title":"Phys.Rev.B","volume":"63","issue":null,"page":null}]
[{"id":144,"citationNumber":null,"type":"journal-article","title":"","DOI":"10.1016\/S0921-","author":[],"issued":{"date-parts":["2002"]},"container-title":null,"volume":"316","issue":"1","page":"389\u2013392"}]
[{"id":145,"citationNumber":null,"type":"article-journal","title":"Measurement of the Quantum of Thermal Conductance","DOI":null,"author":[{"given":"Schwab","family":""},[]],"issued":{"date-parts":["2000"]},"container-title":"Nature","volume":"404","issue":null,"page":"974"}]
[{"id":146,"citationNumber":null,"type":"journal-article","title":"","DOI":"10.1038\/35010065.","author":[],"issued":{"date-parts":[null]},"container-title":null,"volume":null,"issue":null,"page":null}]
[{"id":147,"citationNumber":null,"type":"journal-article","title":"Low-temperature specific heat of nanotube systems","DOI":"10.1103\/physrevb.66.153408","author":[{"given":"Valentin N.","family":"Popov"}],"issued":{"date-parts":[null]},"container-title":"Physical Review B","volume":"66","issue":"15","page":null}]
[{"id":148,"citationNumber":null,"type":"article-journal","title":"Phonon Conductivity in Graphene","DOI":"10.1063\/1.4733690.","author":[{"given":"A.","family":"Alofi"},{"given":"G.P.","family":"Srivastava"}],"issued":{"date-parts":["2012"]},"container-title":"J.Appl.Phys","volume":"112","issue":null,"page":"013517"}]
[{"id":149,"citationNumber":null,"type":"article-journal","title":"Engineering of Thermodynamic Properties of Bilayer Graphene by Atomic Plane Rotations: the Role of out-of-plane Phonons","DOI":"10.1039\/C5NR03579A.","author":[{"given":"A.I.","family":"Cocemasov"},{"given":"D.L.","family":"Nika"},{"given":"A.A.","family":"Balandin"}],"issued":{"date-parts":["2015"]},"container-title":"Nanoscale","volume":"7","issue":null,"page":"12851"}]
Authors retain copyright. This work is licensed under a Creative Commons Attribution 4.0 International License. 
The statements, opinions and data contained in the journal are solely those of the individual authors and contributors and not of the publisher and the editor(s). We stay neutral with regard to jurisdictional claims in published maps and institutional affiliations.