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dc.contributor.authorSaadatmand, SN
dc.contributor.authorBartlett, SD
dc.contributor.authorMcCulloch, IP
dc.date.accessioned2019-05-29T12:38:48Z
dc.date.available2019-05-29T12:38:48Z
dc.date.issued2018
dc.identifier.issn2469-9950
dc.identifier.doi10.1103/PhysRevB.97.155116
dc.identifier.urihttp://hdl.handle.net/10072/381130
dc.description.abstractObtaining quantitative ground-state behavior for geometrically-frustrated quantum magnets with long-range interactions is challenging for numerical methods. Here, we demonstrate that the ground states of these systems on two-dimensional lattices can be efficiently obtained using state-of-the-art translation-invariant variants of matrix product states and density-matrix renormalization-group algorithms. We use these methods to calculate the fully-quantitative ground-state phase diagram of the long-range interacting triangular Ising model with a transverse field on six-leg infinite-length cylinders and scrutinize the properties of the detected phases. We compare these results with those of the corresponding nearest neighbor model. Our results suggest that, for such long-range Hamiltonians, the long-range quantum fluctuations always lead to long-range correlations, where correlators exhibit power-law decays instead of the conventional exponential drops observed for short-range correlated gapped phases. Our results are relevant for comparisons with recent ion-trap quantum simulator experiments that demonstrate highly-controllable long-range spin couplings for several hundred ions.
dc.description.peerreviewedYes
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.publisher.placeUnited States
dc.relation.ispartofchapter155116
dc.relation.ispartofpagefrom1
dc.relation.ispartofpageto14
dc.relation.ispartofissue15
dc.relation.ispartofjournalPhysical Review B
dc.relation.ispartofvolume97
dc.subject.fieldofresearchCondensed matter physics not elsewhere classified
dc.subject.fieldofresearchcode510499
dc.titlePhase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
dc.description.versionAccepted Manuscript (AM)
gro.facultyGriffith Sciences, Centre for Quantum Dynamics
gro.rights.copyright© 2018 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
gro.hasfulltextFull Text
gro.griffith.authorSaadatmand, Nariman N.


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