پديد آورنده :
خليفه، محمد جواد
عنوان :
مطالعه مواد توپولوژيك مراتب بالاتر
مقطع تحصيلي :
كارشناسي ارشد
محل تحصيل :
اصفهان : دانشگاه صنعتي اصفهان
استاد راهنما :
فرهاد فضيله
استاد مشاور :
فرهاد شهبازي
توصيفگر ها :
تنگابست , شبكه كاگومه , مواد توپولوژيك
استاد داور :
جواد هاشمي فر. اسماعيل عيدالحسيني
تاريخ ورود اطلاعات :
1398/07/30
تاريخ ويرايش اطلاعات :
1398/07/30
چكيده فارسي :
چكيده 7 مقدمه 21 فصل 1 مواد توپولوژيك 41 فصل 2 2 1 توپولوژي 41 2 2 كاربرد توپولوژي 61 3 2 نظم توپولوژيك 71 4 2 اثر هال و توپولوژي 81 5 2 فاز بري در هندسه 02 6 2 فاز بري در مكانيك كوانتومي 12 7 2 ناورداهاي توپولوژيك 42 8 2 نظريه گاوس بونه 62 9 2 تقارن ها در مواد توپولوژيك 72 عايق هاي توپولوژيك 13 فصل 3 3 1 مقدمه عايق هاي توپولوژيك 13 3 2 نظريه نوارهاي انرژي 23 3 3 انواع عايق ها 43 هفت 7
چكيده انگليسي :
Abstract In 1980 the topology of the band structure of matter was formulated and a new phase of matterwas introduced called the topological phase One of the most interesting phases of matter is thetopological phase First the topological insulation was examined The first topological insulationwas observed in 1982 as the quantum Hall effect A topological insulation in D will have the nextD 1 topological boundary states that are protected by irregularities from scattering Recently thisconcept has been extended to a much higherorder topological insulation For example a three dimensional topological insulator is a two order insulator that does not have boundary states ontwo dimensional faces But on the boundary of those facets one finds one dimensional protectedtopological boundary states in other words the second order topological insulation boundary is atypical topological insulation So far topological insulators have been investigated for square andcubic lattice One of the interesting structures in the new spin material is the Kagome structure andstudied the conditions of formation of higher order topological insulation on this structure In this thesis the Kagome lattice is first modeled by the thight binding model with two hoppingparameters and then the band structure of a triangular structure is calculated and plotted accordingto the ratio of the hopping parameters and by examining the band structure obtained conditions forhigher order topological phase formation 67
استاد راهنما :
فرهاد فضيله
استاد مشاور :
فرهاد شهبازي
استاد داور :
جواد هاشمي فر. اسماعيل عيدالحسيني
