Symmetry-protected topological phases in spin ladders with two-body interactions
Spin-1/2 two-legged ladders respecting interleg exchange symmetry σ and spin rotation symmetry D2 have new symmetry-protected topological (SPT) phases which are different from the Haldane phase. Three of the new SPT phases are tx,ty,tz, which all have symmetry-protected twofold degenerate edge state...
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/88713 https://orcid.org/0000-0002-5874-581X |
| _version_ | 1811096228771921920 |
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| author | Liu, Zheng-Xin Yang, Zhen-Biao Han, Yong-Jian Yi, Wei Wen, Xiao-Gang |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Liu, Zheng-Xin Yang, Zhen-Biao Han, Yong-Jian Yi, Wei Wen, Xiao-Gang |
| author_sort | Liu, Zheng-Xin |
| collection | MIT |
| description | Spin-1/2 two-legged ladders respecting interleg exchange symmetry σ and spin rotation symmetry D2 have new symmetry-protected topological (SPT) phases which are different from the Haldane phase. Three of the new SPT phases are tx,ty,tz, which all have symmetry-protected twofold degenerate edge states on each end of an open chain. However, the edge states in different phases have different responses to magnetic field. For example, the edge states in the tz phase will be split by the magnetic field along the z direction, but not by the fields in the x and y directions. We give the Hamiltonian that realizes each SPT phase and demonstrate a proof-of-principle quantum simulation scheme for Hamiltonians of the t0 and tz phases based on the coupled-QED-cavity ladder. |
| first_indexed | 2024-09-23T16:40:37Z |
| format | Article |
| id | mit-1721.1/88713 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:40:37Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/887132022-09-29T20:41:38Z Symmetry-protected topological phases in spin ladders with two-body interactions Liu, Zheng-Xin Yang, Zhen-Biao Han, Yong-Jian Yi, Wei Wen, Xiao-Gang Massachusetts Institute of Technology. Department of Physics Liu, Zheng-Xin Wen, Xiao-Gang Spin-1/2 two-legged ladders respecting interleg exchange symmetry σ and spin rotation symmetry D2 have new symmetry-protected topological (SPT) phases which are different from the Haldane phase. Three of the new SPT phases are tx,ty,tz, which all have symmetry-protected twofold degenerate edge states on each end of an open chain. However, the edge states in different phases have different responses to magnetic field. For example, the edge states in the tz phase will be split by the magnetic field along the z direction, but not by the fields in the x and y directions. We give the Hamiltonian that realizes each SPT phase and demonstrate a proof-of-principle quantum simulation scheme for Hamiltonians of the t0 and tz phases based on the coupled-QED-cavity ladder. National Natural Science Foundation (China) (60921091) National Natural Science Foundation (China) (11105134) National Natural Science Foundation (China) (11105135) European Commission (NFRP (2011CB921200)) European Commission (NFRP (2011CBA00200)) China. Fundamental Research Funds for the Central Universities (WK2470000001) China. Fundamental Research Funds for the Central Universities (WK2470000004) China. Fundamental Research Funds for the Central Universities (WK2470000006) National Science Foundation (U.S.) (NSF DMR-1005541) National Natural Science Foundation (China) (NSFC 11074140) 2014-08-15T15:35:44Z 2014-08-15T15:35:44Z 2012-11 2012-07 Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/88713 Liu, Zheng-Xin, Zhen-Biao Yang, Yong-Jian Han, Wei Yi, and Xiao-Gang Wen. “Symmetry-Protected Topological Phases in Spin Ladders with Two-Body Interactions.” Phys. Rev. B 86, no. 19 (November 2012). ©2012 American Physical Society. https://orcid.org/0000-0002-5874-581X en_US http://dx.doi.org/10.1103/PhysRevB.86.195122 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society American Physical Society |
| spellingShingle | Liu, Zheng-Xin Yang, Zhen-Biao Han, Yong-Jian Yi, Wei Wen, Xiao-Gang Symmetry-protected topological phases in spin ladders with two-body interactions |
| title | Symmetry-protected topological phases in spin ladders with two-body interactions |
| title_full | Symmetry-protected topological phases in spin ladders with two-body interactions |
| title_fullStr | Symmetry-protected topological phases in spin ladders with two-body interactions |
| title_full_unstemmed | Symmetry-protected topological phases in spin ladders with two-body interactions |
| title_short | Symmetry-protected topological phases in spin ladders with two-body interactions |
| title_sort | symmetry protected topological phases in spin ladders with two body interactions |
| url | http://hdl.handle.net/1721.1/88713 https://orcid.org/0000-0002-5874-581X |
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