{"data":{"id":"10.4121/333779e2-344c-48ab-878c-cd1e55c89be3","type":"dois","attributes":{"doi":"10.4121/333779e2-344c-48ab-878c-cd1e55c89be3","prefix":"10.4121","suffix":"333779e2-344c-48ab-878c-cd1e55c89be3","identifiers":[],"alternateIdentifiers":[],"creators":[{"name":"La Rivière, Bowy","nameType":"Personal","givenName":"Bowy","familyName":"La Rivière","nameIdentifiers":[{"nameIdentifier":"0009-0007-6373-0595","nameIdentifierScheme":"https://orcid.org/"}],"affiliation":[]},{"name":"Chepiga, Natalia","nameType":"Personal","givenName":"Natalia","familyName":"Chepiga","nameIdentifiers":[{"nameIdentifier":"0000-0002-5313-5035","nameIdentifierScheme":"https://orcid.org/"}],"affiliation":[]}],"titles":[{"title":"Data and data processing tools supporting results presented in chapter 7 of PhD thesis \"quantum criticality in frustrated Haldane chains and (doped) quantum loop models\""}],"publisher":"4TU.ResearchData","container":{},"publicationYear":2026,"subjects":[{"subject":"Condensed Matter Physics","subjectScheme":"Australian and New Zealand Standard Research Classification (ANZSRC), 2008","classificationCode":"0204"},{"subject":"FOS: Physical sciences","schemeUri":"http://www.oecd.org/science/inno/38235147.pdf","subjectScheme":"Fields of Science and Technology (FOS)"},{"subject":"Quantum Physics","subjectScheme":"Australian and New Zealand Standard Research Classification (ANZSRC), 2008","classificationCode":"0206"},{"subject":"Physical Sciences","subjectScheme":"Australian and New Zealand Standard Research Classification (ANZSRC), 2008","classificationCode":"02"},{"subject":"one-dimensional spin chains"},{"subject":"density matrix renormalization group"},{"subject":"quantum phase transitions"},{"subject":"exotic phases of matter"},{"subject":"doped quantum dimer and loop models"},{"subject":"constrained models"}],"contributors":[{"name":"Kavli Institute of Nanoscience, Delft University of Technology","nameType":"Organizational","affiliation":[],"contributorType":"Other","nameIdentifiers":[]}],"dates":[{"date":"2026-05-12","dateType":"Issued"}],"language":"en","types":{"ris":"DATA","bibtex":"misc","citeproc":"dataset","schemaOrg":"Dataset","resourceType":"Dataset","resourceTypeGeneral":"Dataset"},"relatedIdentifiers":[{"relationType":"IsVersionOf","relatedIdentifier":"10.4121/333779e2-344c-48ab-878c-cd1e55c89be3.v1","relatedIdentifierType":"DOI"}],"relatedItems":[],"sizes":[],"formats":[".jld2, .jl"],"version":"1","rightsList":[{"rights":"Restrictive Licence","rightsUri":"https://data.4tu.nl/info/fileadmin/user_upload/Documenten/4TU.ResearchData_Restricted_Data_2022.pdf"}],"descriptions":[{"description":"This dataset includes data obtained from large-scale simulations performed with the density matrix renormalization group algorithm, and the tools used to process this data. The data obtained from these simulations support our studies on one-dimensional doped quantum dimer and loop models designed to engineer the low-energy physics of spontaneous dimerization in antiferromagnetic Heisenberg spin chains associated with Wess-Zumino-Witten SU(2)$_{2S}$ criticality. To this end, we extend the non-magnetic Hilbert space of quantum dimer and loop models by incorporating mobile spin-$1/2$ degrees of freedom. We benchmark this framework against several paradigmatic cases. For spin-$1/2$, the doped quantum dimer model qualitatively reproduces the $J_1-J_2$ chain. By careful study of the excitation spectrum we show that its low-energy behavior is consistent with Wess-Zumino-Witten SU(2)$_1$ criticality. For spin-$1$, the model captures both the topological Haldane phase and the dimerized phase, with a transition that is either direct and first order or proceeds via an intermediate topologically non-trivial $\\mathbb{Z}_2$ ordered phase bounded by Gaussian and Ising critical lines. Finally, for spin-$3/2$, the model again reproduces a Luttinger liquid with a low-energy description in agreement with SU(2)$_1$ criticality. Partially and fully dimerized phases are realized as well and are separated by a Gaussian transition of which its realization is possible through the structure of the Hilbert space. The boundary of the Luttinger liquid is governed by a first-order transition. We argue that the SU(2)$_{2S}$ critical points for $S=1$ and $S=3/2$ may be accessed through careful fine-tuning within the large parameter space of these models.","descriptionType":"Abstract"}],"geoLocations":[],"fundingReferences":[],"xml":"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