{"corpus_id":36548222,"paper_sha":"a4c79d41b16baf955325255a86a66a1a4f50f561","doi":"10.1103/PhysRevB.74.014437","arxiv_id":"cond-mat/0602256","pmid":null,"pmcid":null,"mag_id":1981846588,"dblp_id":null,"acl_id":null,"title":"Doping quantum dimer models on the square lattice","year":2006,"publication_date":"2006-02-10","venue":"","journal":{"name":"Physical Review B","pages":"014437","volume":"74"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Physics"],"reference_count":10,"citation_count":14,"influential_citation_count":0,"is_open_access":true,"arxiv_categories":["cond-mat.str-el"],"arxiv_license":null,"arxiv_journal_ref":"Physical Review B 74 (2006) 014437","mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":"https://infoscience.epfl.ch/record/267601/files/PhysRevB.74.014437.pdf","s2_open_access_landing_url":"https://www.semanticscholar.org/paper/a4c79d41b16baf955325255a86a66a1a4f50f561","s2_open_access_license":null,"s2_open_access_status":"GREEN","pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"A family of models is proposed to describe the motion of holes in a fluctuating quantum dimer background on the square lattice. Following Castelnovo et al. [Ann. Phys. (NY) 318, 316 (2005)], a generalized Rokhsar-Kivelson Hamiltonian at **finite doping** which can be mapped on a **doped** interacting classical dimer model is constructed. A simple physical extension of this model is also considered. Using numerical computations and simple considerations based on the above exact mapping, we determine the phase diagram of the model showing a number of quantum phases typical of a doped Mott insulator. The two-hole correlation function generically exhibits short-range or long-range algebraic correlations in the solid (columnar) and liquid (critical) phases of the model, respectively. Evidence for an extended region of a doped VBS phase exhibiting holon pairing but **no** phase separation is given. In contrast, we show that hole deconfinement occurs in the staggered dimer phase.","claims":[{"public_id":"cl_428dcb042e40ea99da98e0404a318000","status":"active","text":"A generalized Rokhsar-Kivelson Hamiltonian at finite doping is constructed and its ground state is exactly mapped onto a doped interacting classical dimer model, following the approach of Castelnovo et al.","confidence":0.9,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/claims/cl_428dcb042e40ea99da98e0404a318000"},{"public_id":"cl_d8e6225408e667f45059e8b88a7bfbc7","status":"active","text":"An extended region of the doped valence bond solid phase exhibits holon pairing without phase separation.","confidence":0.85,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/claims/cl_d8e6225408e667f45059e8b88a7bfbc7"},{"public_id":"cl_9a29deaf2fbcc8d648d101620e2e48de","status":"active","text":"Hole deconfinement occurs in the staggered dimer phase of the model.","confidence":0.85,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/claims/cl_9a29deaf2fbcc8d648d101620e2e48de"},{"public_id":"cl_1dcaa17739d165851e553db82c7d23ce","status":"active","text":"The phase diagram of the doped dimer model, determined via numerical computations and the exact classical mapping, displays a number of quantum phases typical of a doped Mott insulator.","confidence":0.85,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/claims/cl_1dcaa17739d165851e553db82c7d23ce"},{"public_id":"cl_59f2dcea3ac0cfca305ff412f4c8d1e0","status":"active","text":"The two-hole correlation function exhibits short-range correlations in the solid columnar phase and long-range algebraic correlations in the liquid critical phase of the model.","confidence":0.88,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/claims/cl_59f2dcea3ac0cfca305ff412f4c8d1e0"}],"concepts":[{"public_id":"co_12f7a833a4be8cd2401d2bae7b2f28ca","status":"active","name":"two-hole correlation function","description":"A correlation function quantifying the spatial correlations between two holes doped into the dimer background.","types":["measurement"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_12f7a833a4be8cd2401d2bae7b2f28ca"},{"public_id":"co_176e014adc478d56bcded4f4024be12c","status":"active","name":"classical dimer model","description":"A doped interacting classical dimer model onto which the ground state of the doped Rokhsar-Kivelson Hamiltonian is exactly mapped.","types":["model"],"aliases":["doped interacting classical dimer model"],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_176e014adc478d56bcded4f4024be12c"},{"public_id":"co_1faad52871bc1707f43a8b8d677bc44e","status":"active","name":"staggered dimer phase","description":"A staggered dimer-ordered phase of the model in which doped holes are found to deconfine.","types":["phase"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_1faad52871bc1707f43a8b8d677bc44e"},{"public_id":"co_22010fd0cb963b344b101f59f208a09b","status":"active","name":"square lattice","description":"The two-dimensional square lattice geometry on which the dimer coverings and doped holes are defined.","types":["physical structure"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_22010fd0cb963b344b101f59f208a09b"},{"public_id":"co_40aea9893fda9e293673c5bf531fdc72","status":"active","name":"phase diagram","description":"The diagram characterizing the distinct quantum phases of the doped dimer model as its parameters are varied.","types":["result"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_40aea9893fda9e293673c5bf531fdc72"},{"public_id":"co_596fb9ead07c61bfa52d057eba736bc0","status":"active","name":"hole deconfinement","description":"The liberation of individual doped holes from pairing or confinement, occurring in the staggered dimer phase.","types":["phenomenon"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_596fb9ead07c61bfa52d057eba736bc0"},{"public_id":"co_5a623d00fe7e2d25815c44a0a358b21e","status":"active","name":"doped Mott insulator","description":"A Mott insulating system with a finite density of doped charge carriers, whose quantum phases the model is designed to capture.","types":["phase","condition"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_5a623d00fe7e2d25815c44a0a358b21e"},{"public_id":"co_63d7b500b193c119ac4e99c6a7f43f0a","status":"active","name":"phase separation","description":"A macroscopic separation of doped holes into a hole-rich region distinct from the undoped dimer background.","types":["phenomenon"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_63d7b500b193c119ac4e99c6a7f43f0a"},{"public_id":"co_70bcea33a3cdff7ddb5585ae59b0b180","status":"active","name":"doped VBS phase","description":"A doped valence bond solid phase of the dimer model in which pairs of doped holes can bind.","types":["phase"],"aliases":["doped valence bond solid phase"],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_70bcea33a3cdff7ddb5585ae59b0b180"},{"public_id":"co_93df47f911df56c625e6ba594ef29579","status":"active","name":"quantum dimer model","description":"A lattice model in which the low-energy Hilbert space is spanned by dimer coverings of the square lattice with quantum dynamics, used here to describe a fluctuating dimer background.","types":["model"],"aliases":["quantum dimer models"],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_93df47f911df56c625e6ba594ef29579"},{"public_id":"co_a86361055c33b85b508af98331cce4f9","status":"active","name":"holon pairing","description":"The binding of two doped holes into a bound pair, found within the doped VBS phase.","types":["phenomenon"],"aliases":[],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_a86361055c33b85b508af98331cce4f9"},{"public_id":"co_c3f32f94f073b3a130182509cbc83276","status":"active","name":"liquid phase","description":"A critical dimer liquid phase of the model characterized by long-range algebraic correlations.","types":["phase"],"aliases":["critical phase"],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_c3f32f94f073b3a130182509cbc83276"},{"public_id":"co_ceded50979985a7fbf59e78dfcf185d1","status":"active","name":"Rokhsar-Kivelson Hamiltonian","description":"A quantum dimer Hamiltonian generalized here to finite doping, constructed so its ground state admits an exact classical mapping.","types":["model","method"],"aliases":["generalized Rokhsar-Kivelson Hamiltonian"],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_ceded50979985a7fbf59e78dfcf185d1"},{"public_id":"co_e8b05935d7afe5ca5fa2f61b33e1d64b","status":"active","name":"columnar phase","description":"A dimer-ordered solid phase of the model characterized by columnar dimer arrangement and short-range hole correlations.","types":["phase"],"aliases":["solid phase"],"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":35,"public_id":"b2adb6bfad","public_label":"Anonymous (b2adb6bfad)","roles":["review"],"url":"https://sah.borca.ai/u/b2adb6bfad"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/concepts/co_e8b05935d7afe5ca5fa2f61b33e1d64b"}],"external_ids":{"DOI":"10.1103/PhysRevB.74.014437","ArXiv":"cond-mat/0602256","PubMed":null,"PubMedCentral":null,"MAG":1981846588,"DBLP":null,"ACL":null},"open_access":{"is_open_access":true,"pdf_url":"https://infoscience.epfl.ch/record/267601/files/PhysRevB.74.014437.pdf","landing_url":"https://www.semanticscholar.org/paper/a4c79d41b16baf955325255a86a66a1a4f50f561","source":"semantic_scholar","pdf_url_source":"semantic_scholar_open_access_pdf","license":null,"status":"GREEN","reason":null},"reference_availability":{"status":"available","references_indexed":true,"full_text_available":true,"full_text_source":"arxiv","count_basis":"semantic_scholar_metadata","extraction_status":"not_applicable","reason":null},"source":{"provider":"episteme2","base_corpus":"semantic_scholar_dump","freshness_mode":"unknown","basis":["semantic_scholar_metadata","postgres_metadata"],"limits":["paper metadata is based on indexed upstream scholarly datasets","claims and concepts are available only for extracted papers","absence of claims or concepts means no extracted graph data is available in this response"],"status":"available","degraded":false,"degraded_reasons":[],"diagnostics":{"status":"available","degraded":false,"degraded_reasons":[],"metadata_status":"available","graph_status":"available","abstract_status":"available"},"source_flags":1},"paper_id":632386,"paper_uid":"5b223265-63ca-4351-93d5-ae9cac0785a6","canonical_identity":{"paper_id":632386,"paper_uid":"5b223265-63ca-4351-93d5-ae9cac0785a6","identity_status":"available","lookup_basis":"semantic_scholar_external_id","compatibility_path":"corpus_id"},"url":"https://sah.borca.ai/papers/36548222"}