Resonating valence bond states in the PEPS formalism
| dc.contributor.author | Schuch, Norbert | |
| dc.contributor.author | Poilblanc, Didier | |
| dc.contributor.author | Cirac, Juan I. | |
| dc.contributor.author | Pérez García, David | |
| dc.date.accessioned | 2023-06-20T00:17:45Z | |
| dc.date.available | 2023-06-20T00:17:45Z | |
| dc.date.issued | 2012-09 | |
| dc.description.abstract | We study resonating valence bond (RVB) states in the projected entangled pair states (PEPS) formalism. Based on symmetries in the PEPS description, we establish relations between the toric code state, the orthogonal dimer state, and the SU(2) singlet RVB state on the kagome lattice: We prove the equivalence of toric code and dimer state, and devise an interpolation between the dimer state and the RVB state. This interpolation corresponds to a continuous path in Hamiltonian space, proving that the RVB state is the fourfold degenerate ground state of a local Hamiltonian on the (finite) kagome lattice. We investigate this interpolation using numerical PEPS methods, studying the decay of correlation functions, the change of overlap, and the entanglement spectrum, none of which exhibits signs of a phase transition. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Unión Europea. FP7 | |
| dc.description.sponsorship | Comunidad de Madrid | |
| dc.description.sponsorship | Alexander von Humboldt Foundation | |
| dc.description.sponsorship | Caltech Institute for Quantum Information and Matter (an NSF Physics Frontiers Center) | |
| dc.description.sponsorship | Gordon and Betty Moore Foundation | |
| dc.description.sponsorship | NSF | |
| dc.description.sponsorship | Agence Nationale de la Recherche | |
| dc.description.sponsorship | DFG Forschergruppe | |
| dc.description.sponsorship | CALMIP (Toulouse) | |
| dc.description.sponsorship | Caixa Manresa | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/16764 | |
| dc.identifier.doi | 10.1103/PhysRevB.86.115108 | |
| dc.identifier.issn | 1098-0121 | |
| dc.identifier.officialurl | http://prb.aps.org/pdf/PRB/v86/i11/e115108 | |
| dc.identifier.relatedurl | http://www.aps.org/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/42347 | |
| dc.issue.number | 11 | |
| dc.journal.title | Physical review B | |
| dc.language.iso | eng | |
| dc.publisher | American Physical Society | |
| dc.relation.projectID | QUEVADIS (233859) | |
| dc.relation.projectID | QUITEMAD-CM (S2009/ESP-1594) | |
| dc.relation.projectID | (PHY-0803371) | |
| dc.relation.projectID | (ANR 2010 BLANC 0406-0) | |
| dc.relation.projectID | (P1231) | |
| dc.relation.projectID | (DFG Forschergruppe 635) | |
| dc.relation.projectID | (MTM2011-26912) | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517 | |
| dc.subject.keyword | Heisenberg-antiferromagnet | |
| dc.subject.keyword | ground-states | |
| dc.subject.keyword | quantum | |
| dc.subject.keyword | phase | |
| dc.subject.ucm | Análisis matemático | |
| dc.subject.unesco | 1202 Análisis y Análisis Funcional | |
| dc.title | Resonating valence bond states in the PEPS formalism | |
| dc.type | journal article | |
| dc.volume.number | 86 | |
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| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 5edb2da8-669b-42d1-867d-8fe3144eb216 | |
| relation.isAuthorOfPublication.latestForDiscovery | 5edb2da8-669b-42d1-867d-8fe3144eb216 |
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