フラクトン相の多様な側面：ホログラフィーから実験模型への道のり

• Material Type: 博士論文
• Title: フラクトン相の多様な側面：ホログラフィーから実験模型への道のり
• Author/Editor: Yan, Han
• Author Heading: Yan, Han
• Publication Date: 2020-04-30
• Publication Date (W3CDTF): 2020-04-30
• Alternative Title: Fracton States of Matter: From Holography to Frustrated Magnetism
• Degree grantor/type: Okinawa Institute of Science and Technology Graduate University
• Date Granted: 2020-04-30
• Date Granted (W3CDTF): 2020-04-30
• Dissertation Number: 甲第50号
• Degree Type: Doctor of Philosophy
• Conferring No. (Dissertation): 甲第50号
• Text Language Code: eng
• Target Audience: 一般
• Note (General): The discipline of modern condensed matter physic has a lot ambitions: to discover all possible quantum phases of matter, to study the exotic properties and applications of different matter states, and to realize them in experiments. A recent exciting development in this field is the discovery of the fracton states of matter. Featuring immobile excitations and gauged/ungauged subsystem symmetries, it is a phase of quantum many-body systems that transcend the traditional scenarios of Landau-Ginsberg symmetry breaking and topological quantum states. This thesis is devoted to a few aspects of the fracton states of matter. First, we study a unique property of the fracton models: they mimic the quantum-informational features of gravity. This can be shown in the context of holographic principle or AdS/CFT duality: a fracton model in AdS space can be shown to satisfy the major properties of holography: the boundary entanglement entropy satisfies Ryu-Takayanagi formula, and the bulk reconstruction follows the Rindler reconstruction. Furthermore, the fracton model in hyperbolic space is known to be similar to various other toy models of holography including holographic tensor-networks and bit-threads model. The intriguing similarity between fracton models and gravity, as well as its implications, are discussed at length. In the second half of the thesis, we explore possible experimental routes to realize the fraction phases. Here we focus on frustrated magnets on the pyrochlore lattice, one of the most versatile and experimentally fruitful framework to realize spin liquids. By analyzing the symmetry and the coarse-grained limit of the model, we find it possible to realize various versions of rank-2 U(1) gauge theory, and some of them are simple enough to be experimentally realistic. We also propose ways to introduce quantum dynamics via frustration of higher spins.
• DOI: 10.15102/1394.00001787; https://doi.org/10.15102/1394.00001787
• Persistent ID (NDL): info:ndljp/pid/11659565; https://dl.ndl.go.jp/pid/11659565
• Collection: 障害者向け資料
• Collection (Materials For Handicapped People:1): テキストデータ
• Collection (particular): 国立国会図書館デジタルコレクション > デジタル化資料 > 博士論文; https://dl.ndl.go.jp/collections/A00014
• Acquisition Basis: 博士論文（自動収集）
• Date Accepted (W3CDTF): 2021-04-07T03:01:57+09:00
• Date Created (W3CDTF): 2021-03-19
• Format (IMT): application/pdf
• Access Restrictions: 国立国会図書館内限定公開
• Service for the Digitized Contents Transmission Service: 図書館・個人送信対象外
• Availability of remote photoduplication service: 可
• Periodical Title (URI): http://dx.doi.org/10.15102/1394.00001787; https://oist.repo.nii.ac.jp/records/1984
• Data Provider (Database): 国立国会図書館 : 国立国会図書館デジタルコレクション; https://dl.ndl.go.jp