Topological materials and quantum entanglement
Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2015.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2016
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| Online Access: | http://hdl.handle.net/1721.1/103228 |
| _version_ | 1826216950499377152 |
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| author | Timothy H. Hsieh, Timothy (Timothy Hwa-wei) |
| author2 | Liang Fu. |
| author_facet | Liang Fu. Timothy H. Hsieh, Timothy (Timothy Hwa-wei) |
| author_sort | Timothy H. Hsieh, Timothy (Timothy Hwa-wei) |
| collection | MIT |
| description | Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2015. |
| first_indexed | 2024-09-23T16:56:04Z |
| format | Thesis |
| id | mit-1721.1/103228 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T16:56:04Z |
| publishDate | 2016 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/1032282019-04-10T07:48:03Z Topological materials and quantum entanglement Timothy H. Hsieh, Timothy (Timothy Hwa-wei) Liang Fu. Massachusetts Institute of Technology. Department of Physics. Massachusetts Institute of Technology. Department of Physics. Physics. Thesis: Ph. D., Massachusetts Institute of Technology, Department of Physics, 2015. Cataloged from PDF version of thesis. Includes bibliographical references (pages 83-91). As the title implies, this thesis consists of two main topics: materials which realize topological phases of matter and applications of the concept of entanglement in understanding topological phases and their transitions. The first part will focus on a particular class of materials called topological crystalline insulators (TCI), which are bulk insulators with metallic boundary states protected by crystal mirror symmetries. The realization of TCIs in the SnTe class of materials and the anti-perovskite family will be described. The second part will focus on using entanglement notions to probe a topological phase transition, based on a single topological wavefunction. This is achieved by performing extensive partitions of the wavefunction, such as a checkerboard partition. Implementing this technique in one dimension naturally involves the use of tensor networks, which will be reviewed and then utilized. by Timothy H. Hsieh. Ph. D. 2016-06-22T17:49:35Z 2016-06-22T17:49:35Z 2015 2015 Thesis http://hdl.handle.net/1721.1/103228 951538382 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 91 pages application/pdf Massachusetts Institute of Technology |
| spellingShingle | Physics. Timothy H. Hsieh, Timothy (Timothy Hwa-wei) Topological materials and quantum entanglement |
| title | Topological materials and quantum entanglement |
| title_full | Topological materials and quantum entanglement |
| title_fullStr | Topological materials and quantum entanglement |
| title_full_unstemmed | Topological materials and quantum entanglement |
| title_short | Topological materials and quantum entanglement |
| title_sort | topological materials and quantum entanglement |
| topic | Physics. |
| url | http://hdl.handle.net/1721.1/103228 |
| work_keys_str_mv | AT timothyhhsiehtimothytimothyhwawei topologicalmaterialsandquantumentanglement |