Thermodynamics and magnetism in the two-dimensional to three-dimensional crossover of the Hubbard model

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dc.citation.articleNumber033340
dc.citation.issueNumber3
dc.citation.journalTitlePhysical Review A
dc.citation.volumeNumber102
dc.contributor.authorIbarra-García-Padilla, Eduardo
dc.contributor.authorMukherjee, Rick
dc.contributor.authorHulet, Randall G.
dc.contributor.authorHazzard, Kaden R.A.
dc.contributor.authorPaiva, Thereza
dc.contributor.authorScalettar, Richard T.
dc.contributor.orgRice Center for Quantum Materials
dc.date.accessioned2020-11-06T03:04:41Z
dc.date.available2020-11-06T03:04:41Z
dc.date.issued2020
dc.description.abstractThe realization of antiferromagnetic (AF) correlations in ultracold fermionic atoms on an optical lattice is a significant achievement. Experiments have been carried out in one, two, and three dimensions, and have also studied anisotropic configurations with stronger tunneling in some lattice directions. Such anisotropy is relevant to the physics of cuprate superconductors and other strongly correlated materials. Moreover, this anisotropy might be harnessed to enhance AF order. Here we numerically investigate, using the determinant quantum Monte Carlo method, a simple realization of anisotropy in the three-dimensional (3D) Hubbard model in which the tunneling between planes, t⊥, is unequal to the intraplane tunneling t. This model interpolates between the three-dimensional isotropic (t⊥=t) and two-dimensional (2D; t⊥=0) systems. We show that at fixed interaction strength to tunneling ratio (U/t), anisotropy can enhance the magnetic structure factor relative to both 2D and 3D results. However, this enhancement occurs at interaction strengths below those for which the Néel temperature TNˊeel is largest, in such a way that the structure factor cannot be made to exceed its value in isotropic 3D systems at the optimal U/t. We characterize the 2D-3D crossover in terms of the magnetic structure factor, real space spin correlations, number of doubly occupied sites, and thermodynamic observables. An interesting implication of our results stems from the entropy's dependence on anisotropy. As the system evolves from 3D to 2D, the entropy at a fixed temperature increases. Correspondingly, at fixed entropy, the temperature will decrease going from 3D to 2D. This suggests a cooling protocol in which the dimensionality is adiabatically changed from 3D to 2D.
dc.identifier.citationIbarra-García-Padilla, Eduardo, Mukherjee, Rick, Hulet, Randall G., et al.. "Thermodynamics and magnetism in the two-dimensional to three-dimensional crossover of the Hubbard model." <i>Physical Review A,</i> 102, no. 3 (2020) American Physical Society: https://doi.org/10.1103/PhysRevA.102.033340.
dc.identifier.doihttps://doi.org/10.1103/PhysRevA.102.033340
dc.identifier.urihttps://hdl.handle.net/1911/109532
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
dc.titleThermodynamics and magnetism in the two-dimensional to three-dimensional crossover of the Hubbard model
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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