Haldane topological orders in Motzkin spin chains
Motzkin spin chains are frustration-free models whose ground state is a combination of Motzkin paths. The weight of such path contributions can be controlled by a deformation parameter t. As a function of the latter, these models, besides the formation of domain wall structures, exhibit gapped Halda...
Gespeichert in:
| Veröffentlicht in: | Physical review. B 2017-11, Vol.96 (18), Article 180404 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | 18 |
| container_start_page | |
| container_title | Physical review. B |
| container_volume | 96 |
| creator | Barbiero, L. Dell'Anna, L. Trombettoni, A. Korepin, V. E. |
| description | Motzkin spin chains are frustration-free models whose ground state is a combination of Motzkin paths. The weight of such path contributions can be controlled by a deformation parameter t. As a function of the latter, these models, besides the formation of domain wall structures, exhibit gapped Haldane topological orders with a constant decay of string order parameters for t |
| doi_str_mv | 10.1103/PhysRevB.96.180404 |
| format | Article |
| fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2123180098</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2123180098</sourcerecordid><originalsourceid>FETCH-LOGICAL-c275t-491602bcb66a6ffde37991b7124838e1c45c2033b4b9e1b4f0cbe91f712f9e073</originalsourceid><addsrcrecordid>eNo9kE1LAzEQhoMoWGr_gKcFz1snH83uHLWoFSqK6DkkaWK3rps12QrtrzdS9TLvHB7mZR5CzilMKQV--bTepWf3dT1FOaU1CBBHZMSExBJR4vH_PoNTMklpAwBUAlaAI0IXul3pzhVD6EMb3hqr2yLElYupaLriIQz795ypz8OuddOlM3LidZvc5DfH5PX25mW-KJePd_fzq2VpWTUbSoG5gxlrpNTS-5XjFSI1FWWi5rWjVswsA86NMOioER6scUh9Bjw6qPiYXBzu9jF8bl0a1CZsY5crFaOM50cB60yxA2VjSCk6r_rYfOi4UxTUjx31Z0ehVAc7_BvjfFhb</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2123180098</pqid></control><display><type>article</type><title>Haldane topological orders in Motzkin spin chains</title><source>American Physical Society Journals</source><creator>Barbiero, L. ; Dell'Anna, L. ; Trombettoni, A. ; Korepin, V. E.</creator><creatorcontrib>Barbiero, L. ; Dell'Anna, L. ; Trombettoni, A. ; Korepin, V. E.</creatorcontrib><description>Motzkin spin chains are frustration-free models whose ground state is a combination of Motzkin paths. The weight of such path contributions can be controlled by a deformation parameter t. As a function of the latter, these models, besides the formation of domain wall structures, exhibit gapped Haldane topological orders with a constant decay of string order parameters for t<1. A behavior compatible with a Berezinskii-Kosterlitz-Thouless phase transition at t=1 is also presented. By means of numerical calculations we show that the topological properties of the Haldane phases depend on the spin value. This allows one to classify different kinds of hidden antiferromagnetic Haldane gapped regimes associated with nontrivial features such as symmetry-protected topological order. On one hand, our results allow one to clarify the physical properties of Motzkin frustration-free chains, and on the other hand, suggest them as an interesting and paradigmatic class of local spin Hamiltonians.</description><identifier>ISSN: 2469-9950</identifier><identifier>EISSN: 2469-9969</identifier><identifier>DOI: 10.1103/PhysRevB.96.180404</identifier><language>eng</language><publisher>College Park: American Physical Society</publisher><subject>Antiferromagnetism ; Chains ; Deformation ; Domain walls ; Frustration ; Hamiltonian functions ; Mathematical models ; Order parameters ; Phase transitions ; Physical properties ; Weight</subject><ispartof>Physical review. B, 2017-11, Vol.96 (18), Article 180404</ispartof><rights>Copyright American Physical Society Nov 1, 2017</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c275t-491602bcb66a6ffde37991b7124838e1c45c2033b4b9e1b4f0cbe91f712f9e073</citedby><cites>FETCH-LOGICAL-c275t-491602bcb66a6ffde37991b7124838e1c45c2033b4b9e1b4f0cbe91f712f9e073</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,2863,2864,27901,27902</link.rule.ids></links><search><creatorcontrib>Barbiero, L.</creatorcontrib><creatorcontrib>Dell'Anna, L.</creatorcontrib><creatorcontrib>Trombettoni, A.</creatorcontrib><creatorcontrib>Korepin, V. E.</creatorcontrib><title>Haldane topological orders in Motzkin spin chains</title><title>Physical review. B</title><description>Motzkin spin chains are frustration-free models whose ground state is a combination of Motzkin paths. The weight of such path contributions can be controlled by a deformation parameter t. As a function of the latter, these models, besides the formation of domain wall structures, exhibit gapped Haldane topological orders with a constant decay of string order parameters for t<1. A behavior compatible with a Berezinskii-Kosterlitz-Thouless phase transition at t=1 is also presented. By means of numerical calculations we show that the topological properties of the Haldane phases depend on the spin value. This allows one to classify different kinds of hidden antiferromagnetic Haldane gapped regimes associated with nontrivial features such as symmetry-protected topological order. On one hand, our results allow one to clarify the physical properties of Motzkin frustration-free chains, and on the other hand, suggest them as an interesting and paradigmatic class of local spin Hamiltonians.</description><subject>Antiferromagnetism</subject><subject>Chains</subject><subject>Deformation</subject><subject>Domain walls</subject><subject>Frustration</subject><subject>Hamiltonian functions</subject><subject>Mathematical models</subject><subject>Order parameters</subject><subject>Phase transitions</subject><subject>Physical properties</subject><subject>Weight</subject><issn>2469-9950</issn><issn>2469-9969</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNo9kE1LAzEQhoMoWGr_gKcFz1snH83uHLWoFSqK6DkkaWK3rps12QrtrzdS9TLvHB7mZR5CzilMKQV--bTepWf3dT1FOaU1CBBHZMSExBJR4vH_PoNTMklpAwBUAlaAI0IXul3pzhVD6EMb3hqr2yLElYupaLriIQz795ypz8OuddOlM3LidZvc5DfH5PX25mW-KJePd_fzq2VpWTUbSoG5gxlrpNTS-5XjFSI1FWWi5rWjVswsA86NMOioER6scUh9Bjw6qPiYXBzu9jF8bl0a1CZsY5crFaOM50cB60yxA2VjSCk6r_rYfOi4UxTUjx31Z0ehVAc7_BvjfFhb</recordid><startdate>20171108</startdate><enddate>20171108</enddate><creator>Barbiero, L.</creator><creator>Dell'Anna, L.</creator><creator>Trombettoni, A.</creator><creator>Korepin, V. E.</creator><general>American Physical Society</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>7U5</scope><scope>8BQ</scope><scope>8FD</scope><scope>H8D</scope><scope>JG9</scope><scope>L7M</scope></search><sort><creationdate>20171108</creationdate><title>Haldane topological orders in Motzkin spin chains</title><author>Barbiero, L. ; Dell'Anna, L. ; Trombettoni, A. ; Korepin, V. E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c275t-491602bcb66a6ffde37991b7124838e1c45c2033b4b9e1b4f0cbe91f712f9e073</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Antiferromagnetism</topic><topic>Chains</topic><topic>Deformation</topic><topic>Domain walls</topic><topic>Frustration</topic><topic>Hamiltonian functions</topic><topic>Mathematical models</topic><topic>Order parameters</topic><topic>Phase transitions</topic><topic>Physical properties</topic><topic>Weight</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Barbiero, L.</creatorcontrib><creatorcontrib>Dell'Anna, L.</creatorcontrib><creatorcontrib>Trombettoni, A.</creatorcontrib><creatorcontrib>Korepin, V. E.</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>METADEX</collection><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Materials Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>Physical review. B</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Barbiero, L.</au><au>Dell'Anna, L.</au><au>Trombettoni, A.</au><au>Korepin, V. E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Haldane topological orders in Motzkin spin chains</atitle><jtitle>Physical review. B</jtitle><date>2017-11-08</date><risdate>2017</risdate><volume>96</volume><issue>18</issue><artnum>180404</artnum><issn>2469-9950</issn><eissn>2469-9969</eissn><abstract>Motzkin spin chains are frustration-free models whose ground state is a combination of Motzkin paths. The weight of such path contributions can be controlled by a deformation parameter t. As a function of the latter, these models, besides the formation of domain wall structures, exhibit gapped Haldane topological orders with a constant decay of string order parameters for t<1. A behavior compatible with a Berezinskii-Kosterlitz-Thouless phase transition at t=1 is also presented. By means of numerical calculations we show that the topological properties of the Haldane phases depend on the spin value. This allows one to classify different kinds of hidden antiferromagnetic Haldane gapped regimes associated with nontrivial features such as symmetry-protected topological order. On one hand, our results allow one to clarify the physical properties of Motzkin frustration-free chains, and on the other hand, suggest them as an interesting and paradigmatic class of local spin Hamiltonians.</abstract><cop>College Park</cop><pub>American Physical Society</pub><doi>10.1103/PhysRevB.96.180404</doi></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 2469-9950 |
| ispartof | Physical review. B, 2017-11, Vol.96 (18), Article 180404 |
| issn | 2469-9950 2469-9969 |
| language | eng |
| recordid | cdi_proquest_journals_2123180098 |
| source | American Physical Society Journals |
| subjects | Antiferromagnetism Chains Deformation Domain walls Frustration Hamiltonian functions Mathematical models Order parameters Phase transitions Physical properties Weight |
| title | Haldane topological orders in Motzkin spin chains |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-01T16%3A00%3A19IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Haldane%20topological%20orders%20in%20Motzkin%20spin%20chains&rft.jtitle=Physical%20review.%20B&rft.au=Barbiero,%20L.&rft.date=2017-11-08&rft.volume=96&rft.issue=18&rft.artnum=180404&rft.issn=2469-9950&rft.eissn=2469-9969&rft_id=info:doi/10.1103/PhysRevB.96.180404&rft_dat=%3Cproquest_cross%3E2123180098%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=2123180098&rft_id=info:pmid/&rfr_iscdi=true |