dc.contributor.author | Saadatmand, SN | |
dc.contributor.author | Bartlett, SD | |
dc.contributor.author | McCulloch, IP | |
dc.date.accessioned | 2019-05-29T12:38:48Z | |
dc.date.available | 2019-05-29T12:38:48Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 2469-9950 | |
dc.identifier.doi | 10.1103/PhysRevB.97.155116 | |
dc.identifier.uri | http://hdl.handle.net/10072/381130 | |
dc.description.abstract | Obtaining 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.peerreviewed | Yes | |
dc.language | English | |
dc.language.iso | eng | |
dc.publisher | American Physical Society | |
dc.publisher.place | United States | |
dc.relation.ispartofchapter | 155116 | |
dc.relation.ispartofpagefrom | 1 | |
dc.relation.ispartofpageto | 14 | |
dc.relation.ispartofissue | 15 | |
dc.relation.ispartofjournal | Physical Review B | |
dc.relation.ispartofvolume | 97 | |
dc.subject.fieldofresearch | Condensed matter physics not elsewhere classified | |
dc.subject.fieldofresearchcode | 510499 | |
dc.title | Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice | |
dc.type | Journal article | |
dc.type.description | C1 - Articles | |
dc.type.code | C - Journal Articles | |
dc.description.version | Accepted Manuscript (AM) | |
gro.faculty | Griffith 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.hasfulltext | Full Text | |
gro.griffith.author | Saadatmand, Nariman N. | |