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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
https://doi.org/10.15102/1394.00001787
https://doi.org/10.15102/1394.00001787b03d517d-47a5-44ec-8b6d-fc1fdf8bd54d
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Item type | 学位論文 / Thesis or Dissertation(1) | |||||||
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公開日 | 2021-03-19 | |||||||
タイトル | ||||||||
タイトル | 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 | |||||||
言語 | ja | |||||||
タイトル | ||||||||
タイトル | Fracton States of Matter: From Holography to Frustrated Magnetism | |||||||
言語 | en | |||||||
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言語 | eng | |||||||
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資源タイプ識別子 | http://purl.org/coar/resource_type/c_db06 | |||||||
資源タイプ | doctoral thesis | |||||||
ID登録 | ||||||||
ID登録 | 10.15102/1394.00001787 | |||||||
ID登録タイプ | JaLC | |||||||
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アクセス権 | open access | |||||||
アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||
著者 (英) |
Yan, Han
× Yan, Han
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内容記述タイプ | Other | |||||||
内容記述 | 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. | |||||||
言語 | en | |||||||
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値 | 2020-02-12 | |||||||
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学位授与年月日 | 2020-04-30 | |||||||
学位名 | ||||||||
学位名 | Doctor of Philosophy | |||||||
学位授与番号 | ||||||||
学位授与番号 | 甲第50号 | |||||||
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学位授与機関識別子Scheme | kakenhi | |||||||
学位授与機関識別子 | 38005 | |||||||
学位授与機関名 | Okinawa Institute of Science and Technology Graduate University | |||||||
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出版タイプ | VoR | |||||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||
権利 | ||||||||
権利情報 | © 2020 The Author. |