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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/81264完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 高英哲(Ying-Jer Kao) | |
| dc.contributor.author | Yu-Hsueh Chen | en |
| dc.contributor.author | 陳昱學 | zh_TW |
| dc.date.accessioned | 2022-11-24T03:39:30Z | - |
| dc.date.available | 2021-09-02 | |
| dc.date.available | 2022-11-24T03:39:30Z | - |
| dc.date.copyright | 2021-09-02 | |
| dc.date.issued | 2021 | |
| dc.date.submitted | 2021-08-23 | |
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/81264 | - |
| dc.description.abstract | 本論文使用對稱張量網路研究 Kitaev 自旋液體。藉由將虛時間演化產生的波函數投影到無渦流空間，我們獲得了各向同性自旋-$1$ Kitaev 蜂巢狀模型的可靠基態。通過計算張量網路中虛擬希爾伯特空間上定義的虛擬序參數，我們確認了其$\mathbb{Z}_2$ 量子自旋液體的性質。此外，我們發現不同於自旋-$1/2$ 情況下的馬約羅納費米子色散激發，各向同性自旋-$1$ Kitaev 模型具有電荷任意子的色散激發。我們使用轉移矩陣光譜和低能量激發態之間的對應關係識別單粒子和雙粒子激發態的下緣。另一方面，我們研究了自旋-$1/2$ 星形 Kitaev 模型的拓撲相變。我們發現類似於任意子凝聚態機制，$\mathbb{Z}_2$-單射投影糾纏對態的物理變形也可用於研究從亞伯群到非亞伯群自旋液體的相變。此外，我們展示在非亞伯群相中的基態總是具有無限大的關聯長度，這與手性投影糾纏對態永遠具有無間隙父哈密頓量的不可行定理吻合。 | zh_TW |
| dc.description.provenance | Made available in DSpace on 2022-11-24T03:39:30Z (GMT). No. of bitstreams: 1 U0001-2607202122194800.pdf: 7915470 bytes, checksum: aec4ab3be293bf80769ccdcd2ad3d92c (MD5) Previous issue date: 2021 | en |
| dc.description.tableofcontents | "Chapter 1 Introduction 1 1.1 Background and Motivation 1 1.2 Outline of the thesis 2 Chapter 2 Symmetric Tensor Network 5 2.1 $\mathbb{Z}_2$-injective PEPS, Anyon, and Minimally Entangled State 5 2.2 Transfer Matrix 8 Chapter 3 Kitaev Model and Tensor Network Study 23 3.1 Spin-$1$ Honeycomb Kitaev Model 24 3.2 Spin-$1/2$ Star Lattice Kitaev Model 31 Chapter 4 Summary 41 References 43 " | |
| dc.language.iso | en | |
| dc.subject | 轉移矩陣 | zh_TW |
| dc.subject | 量子自旋液體 | zh_TW |
| dc.subject | 拓墣序 | zh_TW |
| dc.subject | Kitaev 模型 | zh_TW |
| dc.subject | 張量網路 | zh_TW |
| dc.subject | 激發光譜 | zh_TW |
| dc.subject | Transfer matrix | en |
| dc.subject | Excitations spectrum | en |
| dc.subject | Quantum spin liquids | en |
| dc.subject | Tensor network | en |
| dc.subject | Topological orders | en |
| dc.subject | Kitaev models | en |
| dc.title | 對稱張量網路對Kitaev自旋液體之研究 | zh_TW |
| dc.title | Symmetric Tensor Network Studies of Kitaev Spin Liquids | en |
| dc.date.schoolyear | 109-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.author-orcid | 0000-0002-6415-9710 | |
| dc.contributor.oralexamcommittee | 黃靜瑜(Hsin-Tsai Liu),陳柏中(Chih-Yang Tseng) | |
| dc.subject.keyword | 量子自旋液體,拓墣序,Kitaev 模型,張量網路,激發光譜,轉移矩陣, | zh_TW |
| dc.subject.keyword | Quantum spin liquids,Topological orders,Kitaev models,Tensor network,Excitations spectrum,Transfer matrix, | en |
| dc.relation.page | 49 | |
| dc.identifier.doi | 10.6342/NTU202101778 | |
| dc.rights.note | 同意授權(限校園內公開) | |
| dc.date.accepted | 2021-08-24 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 物理學研究所 | zh_TW |
| 顯示於系所單位： | 物理學系 | |
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