{"title":"The role of grain boundary and alloy scattering within the Callaway model to calculate lattice thermal conductivity in GaN/AlN superlattice","authors":"","doi":"10.1016/j.physb.2024.416530","DOIUrl":null,"url":null,"abstract":"<div><p>The grain boundary and alloy scattering within the Debye-Callaway model were introduced to calculate the temperature-dependent lattice thermal conductivity (LTC) in the GaN/AlN superlattice. The superlattice layers are assumed to be grains, and the sample is then treated as a multigrain material. The computations include various physical parameters related to Aluminum alloy compositions, such as Debye temperature, atomic mass, lattice volume, density, alloy scattering factor and deformation energy. In general, the sample size effect on LTC in this superlattice structure was similar to any single component solids, but it has a significant influence from the grain boundaries represented by the thickness of layers in the form of <span><math><mrow><msub><mrow><mi>L</mi><mi>T</mi><mi>C</mi></mrow><mrow><mi>P</mi><mi>e</mi><mi>a</mi><mi>k</mi><mspace></mspace><mi>p</mi><mi>o</mi><mi>i</mi><mi>n</mi><mi>t</mi><mo>.</mo></mrow></msub><mo>=</mo><mn>5.9925</mn><msup><mi>e</mi><mrow><mn>0.0005</mn><msup><mi>L</mi><mn>2</mn></msup></mrow></msup></mrow></math></span> at the peak point maximum and <span><math><mrow><mi>L</mi><mi>T</mi><mi>C</mi><mrow><mo>(</mo><mrow><mn>600</mn><mi>K</mi></mrow><mo>)</mo></mrow><mo>=</mo><mn>0.344</mn><mi>L</mi></mrow></math></span> at 600K, <span><math><mrow><mi>L</mi></mrow></math></span> is the sample size. The dislocations in these samples are controlled by the inbuilt AlN layers with the dependence of <span><math><mrow><msub><mi>N</mi><mrow><mi>D</mi><mi>i</mi><mi>s</mi><mi>l</mi><mo>.</mo></mrow></msub><mo>=</mo><mo>−</mo><mn>0.542</mn><msub><mi>L</mi><mrow><mi>A</mi><mi>l</mi><mi>N</mi></mrow></msub><mo>+</mo><mn>7.4</mn></mrow></math></span>.</p></div>","PeriodicalId":20116,"journal":{"name":"Physica B-condensed Matter","volume":null,"pages":null},"PeriodicalIF":2.8000,"publicationDate":"2024-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physica B-condensed Matter","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0921452624008718","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"PHYSICS, CONDENSED MATTER","Score":null,"Total":0}
引用次数: 0
Abstract
The grain boundary and alloy scattering within the Debye-Callaway model were introduced to calculate the temperature-dependent lattice thermal conductivity (LTC) in the GaN/AlN superlattice. The superlattice layers are assumed to be grains, and the sample is then treated as a multigrain material. The computations include various physical parameters related to Aluminum alloy compositions, such as Debye temperature, atomic mass, lattice volume, density, alloy scattering factor and deformation energy. In general, the sample size effect on LTC in this superlattice structure was similar to any single component solids, but it has a significant influence from the grain boundaries represented by the thickness of layers in the form of at the peak point maximum and at 600K, is the sample size. The dislocations in these samples are controlled by the inbuilt AlN layers with the dependence of .
期刊介绍:
Physica B: Condensed Matter comprises all condensed matter and material physics that involve theoretical, computational and experimental work.
Papers should contain further developments and a proper discussion on the physics of experimental or theoretical results in one of the following areas:
-Magnetism
-Materials physics
-Nanostructures and nanomaterials
-Optics and optical materials
-Quantum materials
-Semiconductors
-Strongly correlated systems
-Superconductivity
-Surfaces and interfaces