Discovery of Fractionalized Neutral Spin-1/2 Excitation of Topological Order

After the discovery of fraction quantum Hall states in the 1980s,[1] it became more and more clear that Landau symmetry breaking theory does not describe all possible quantum phases of matter. The new quantum phases of matter were called topologically ordered phases[2,3] (for gapped cases) or quantu...

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Main Author:	Wen, Xiao-Gang
Other Authors:	Massachusetts Institute of Technology. Department of Physics
Format:	Article
Published:	IOP Publishing 2020
Online Access:	https://hdl.handle.net/1721.1/124012

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author	Wen, Xiao-Gang
author2	Massachusetts Institute of Technology. Department of Physics
author_facet	Massachusetts Institute of Technology. Department of Physics Wen, Xiao-Gang
author_sort	Wen, Xiao-Gang
collection	MIT
description	After the discovery of fraction quantum Hall states in the 1980s,[1] it became more and more clear that Landau symmetry breaking theory does not describe all possible quantum phases of matter. The new quantum phases of matter were called topologically ordered phases[2,3] (for gapped cases) or quantum ordered phases[4] (for gapless cases), which correspond to patterns of many-body entanglement.[5–7] One may wonder: besides quantum Hall systems, are there other systems that realize the new topological/quantum order?
first_indexed	2024-09-23T13:33:56Z
format	Article
id	mit-1721.1/124012
institution	Massachusetts Institute of Technology
last_indexed	2024-09-23T13:33:56Z
publishDate	2020
publisher	IOP Publishing
record_format	dspace
spelling	mit-1721.1/1240122022-09-28T14:41:51Z Discovery of Fractionalized Neutral Spin-1/2 Excitation of Topological Order Wen, Xiao-Gang Massachusetts Institute of Technology. Department of Physics After the discovery of fraction quantum Hall states in the 1980s,[1] it became more and more clear that Landau symmetry breaking theory does not describe all possible quantum phases of matter. The new quantum phases of matter were called topologically ordered phases[2,3] (for gapped cases) or quantum ordered phases[4] (for gapless cases), which correspond to patterns of many-body entanglement.[5–7] One may wonder: besides quantum Hall systems, are there other systems that realize the new topological/quantum order? 2020-03-04T20:28:21Z 2020-03-04T20:28:21Z 2017-08 2017-07 Article http://purl.org/eprint/type/JournalArticle 0256-307X 1741-3540 https://hdl.handle.net/1721.1/124012 Wen, Xiao-Gang. "Discovery of Fractionalized Neutral Spin-1/2 Excitation of Topological Order." Chinese Physics Letters 34, 9 (August 2017): 090101 © 2017 Chinese Physical Society and IOP Publishing 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 10.1088/0256-307X/34/9/090101 http://dx.doi.org/10.1088/0256-307x/34/9/090101 Chinese Physics Letters Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf IOP Publishing Prof. Wen
spellingShingle	Wen, Xiao-Gang Discovery of Fractionalized Neutral Spin-1/2 Excitation of Topological Order
title	Discovery of Fractionalized Neutral Spin-1/2 Excitation of Topological Order
title_full	Discovery of Fractionalized Neutral Spin-1/2 Excitation of Topological Order
title_fullStr	Discovery of Fractionalized Neutral Spin-1/2 Excitation of Topological Order
title_full_unstemmed	Discovery of Fractionalized Neutral Spin-1/2 Excitation of Topological Order
title_short	Discovery of Fractionalized Neutral Spin-1/2 Excitation of Topological Order
title_sort	discovery of fractionalized neutral spin 1 2 excitation of topological order
url	https://hdl.handle.net/1721.1/124012
work_keys_str_mv	AT wenxiaogang discoveryoffractionalizedneutralspin12excitationoftopologicalorder

Discovery of Fractionalized Neutral Spin-1/2 Excitation of Topological Order

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