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  1. NTU Theses and Dissertations Repository
  2. 理學院
  3. 物理學系
Please use this identifier to cite or link to this item: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/781
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???org.dspace.app.webui.jsptag.ItemTag.dcfield???ValueLanguage
dc.contributor.advisor胡崇德
dc.contributor.authorChih-Yu Chenen
dc.contributor.author陳志宇zh_TW
dc.date.accessioned2021-05-11T05:01:06Z-
dc.date.available2019-07-15
dc.date.available2021-05-11T05:01:06Z-
dc.date.copyright2019-07-15
dc.date.issued2019
dc.date.submitted2019-07-05
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/handle/123456789/781-
dc.description.abstract準粒子凝聚態在凝態物理的應用廣泛,在玻色-愛因斯坦凝聚,超導體與超流體中扮演重要角色。本論文主要分為兩部分,第二至第六章討論二維半導體中激子(exciton)的凝聚態,研究顯示一種新的混合態波函數為二維半導體激子凝聚態的基態,並提供可能的實驗量測方式。
第七至第十章研究磁振子(magnon)的凝聚態,組織現有的Schwinger-boson平均場理論,應用於氧化銅材料,以及討論動量非零之玻色-愛因斯坦凝聚態之物理意義與氧化銅中commensurate-incommensurate相變生成之可能之微觀機制。
zh_TW
dc.description.abstractIn this thesis, we study the aspects of quasiparticle condensate phenomena. The Bose-Einstein condensation of quasiparticle plays an important role in many areas such as the superconductivity, superfluidity, magnons, polaritons, and of course, one of the main topic of this thesis-exciton. The exciton condensation of two-dimensional (2D) semiconductors is reports in Ch. 2-6. We start from an effective Hamiltonian of 2D semiconductors and show an interesting mixed state of exciton condensate.
The bosonization of electrons can also be a useful mathematical tool to study quantum spin systems. In Ch. 7-10, we extend the Schwinger boson mean field theory (SBMFT) method of ferromagnetic and antiferromagnetic systems. The condensation of Schwinger bosons can describe the ordering phase of spins. We study the commensurate-incommensurate phase transition of CuO as an example.
en
dc.description.provenanceMade available in DSpace on 2021-05-11T05:01:06Z (GMT). No. of bitstreams: 1
ntu-108-D99222003-1.pdf: 2284569 bytes, checksum: 24f6311b408b485ceda10f68ddd48a2a (MD5)
Previous issue date: 2019
en
dc.description.tableofcontents1 Exordium................... 5
2 Introduction of Exciton Condensate................... 9
3 Effective Hamiltonian of 2D Semiconductors.................. 11
3.1 The effective Hamiltonian without external field.............. 11
3.2 The effective Hamiltonian with external field................. 13
4 Coulomb Interaction Revisit................... 15
4.1 Spin selection rule and 2D Coulomb potential.................. 15
4.2 The form factors of cases with and without external field..... 17
5 The Gap Equation and Its Solution................... 21
5.1 Gap equation ........................... 21
5.2 Solution of gap equation................... 22
5.2.1 Numerical solutions................... 23
5.2.2 Approximate form of solutions.................... 25
6 Proposed Experiment................... 29
6.1 Luminal properties of exciton condensation................... 30
6.2 Midgap states of exciton condensation ................... 31
7 Introduction of Magnon Condensate in CuO................... 35
8 Formulation of SBMFT................... 37
8.1 Spin rotation ........................... 37
8.2 Schwinger boson mean field theory .............. 38
8.3 Free energy and SB equations.................. 42
9 Application of SBMFT to CuO...................45
9.1 The information of CuO..................... 45
9.2 Finite momentum BEC of magnon............... 48
9.3 The spin correlation function................... 49
10 The c-ic Phase Transition of CuO............. 53
11 Conclusion......... 57
dc.language.isoen
dc.subject孤立子zh_TW
dc.subject激子zh_TW
dc.subject二維半導體zh_TW
dc.subject玻色-愛因斯坦凝聚zh_TW
dc.subject氧化銅zh_TW
dc.subject磁振子zh_TW
dc.subject自旋zh_TW
dc.subjectexcitonen
dc.subjectsolitonen
dc.subjectcommensurate-incommensurate phase transitionen
dc.subjectmagnonen
dc.subjectCuOen
dc.subjectBose-Einstein condensationen
dc.subject2D semiconductoren
dc.title準粒子凝聚態在二維系統與自旋有序之應用zh_TW
dc.titleQuasi-particle Condensation in Two-Dimensional System and Its Application in Spin Orderingen
dc.date.schoolyear107-2
dc.description.degree博士
dc.contributor.oralexamcommittee張慶瑞,林育中,程思誠,陳繩義
dc.subject.keyword激子,二維半導體,玻色-愛因斯坦凝聚,氧化銅,磁振子,自旋,孤立子,zh_TW
dc.subject.keywordexciton,2D semiconductor,Bose-Einstein condensation,CuO,magnon,commensurate-incommensurate phase transition,soliton,en
dc.relation.page62
dc.identifier.doi10.6342/NTU201901151
dc.rights.note同意授權(全球公開)
dc.date.accepted2019-07-05
dc.contributor.author-college理學院zh_TW
dc.contributor.author-dept物理學研究所zh_TW
Appears in Collections:物理學系

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