{"id":"https://openalex.org/W93023730","doi":null,"title":"Symmetry Breaking in Matrix-Product States","display_name":"Symmetry Breaking in Matrix-Product States","publication_year":2010,"publication_date":"2010-03-15","ids":{"openalex":"https://openalex.org/W93023730","mag":"93023730"},"language":"en","primary_location":{"id":"mag:93023730","doi":null,"is_oa":false,"landing_page_url":"http://absimage.aps.org/image/MAR10/MWS_MAR10-2009-000980.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764664775","display_name":"Bulletin of the American Physical Society","issn_l":"0003-0503","issn":["0003-0503"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Bulletin of the American Physical Society","raw_type":null},"volume":null,"type":"article","indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100322196","display_name":"Chen Liu","orcid":"https://orcid.org/0000-0003-0980-4673","observed_orcids":["https://orcid.org/0000-0003-0980-4673","https://orcid.org/0000-0001-6442-8653"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen Liu","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1481-6484","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033845918","display_name":"Anders W. Sandvik","orcid":"https://orcid.org/0000-0002-5638-4619","observed_orcids":["https://orcid.org/0000-0002-5638-4619"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Anders W. Sandvik","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-5638-4619","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029077335","display_name":"Yu-Cheng Su","orcid":"https://orcid.org/0000-0001-7056-6315","observed_orcids":["https://orcid.org/0000-0001-7056-6315"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yu-Cheng Su","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7056-6315","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5016871377","display_name":"Ying-Jer Kao","orcid":"https://orcid.org/0000-0002-3329-6018","observed_orcids":["https://orcid.org/0000-0002-3329-6018"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ying-Jer Kao","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01383899,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2010","issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10622","display_name":"Quantum Mechanics and Applications","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11682","display_name":"Advanced Condensed Matter Physics","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/symmetry-breaking","display_name":"symmetry breaking","score":0.8529999852180481},{"id":"https://openalex.org/keywords/matrix-product-states","display_name":"matrix product states","score":0.9279999732971191},{"id":"https://openalex.org/keywords/quantum-many-body-systems","display_name":"quantum many-body systems","score":0.8880000114440918},{"id":"https://openalex.org/keywords/quantum-entanglement","display_name":"quantum entanglement","score":0.5080000162124634},{"id":"https://openalex.org/keywords/quantum-phase-transitions","display_name":"quantum phase transitions","score":0.40700000524520874}],"concepts":[{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.6461491584777832},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.49294018745422363},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.48663315176963806},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4842047691345215},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.46212196350097656},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.40692296624183655},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.21317443251609802},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16781193017959595},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.16417762637138367},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12447023391723633},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:93023730","doi":null,"is_oa":false,"landing_page_url":"http://absimage.aps.org/image/MAR10/MWS_MAR10-2009-000980.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S2764664775","display_name":"Bulletin of the American Physical Society","issn_l":"0003-0503","issn":["0003-0503"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core"],"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Bulletin of the American Physical Society","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2268700148","https://openalex.org/W2617633309","https://openalex.org/W3150568332","https://openalex.org/W80189526","https://openalex.org/W7006212785","https://openalex.org/W2306789598","https://openalex.org/W2596800041","https://openalex.org/W2609529454","https://openalex.org/W1593185718","https://openalex.org/W1594864715"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-10-13T10:08:12.033832","created_date":"2016-06-24T00:00:00"}