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Phase diagram of the frustrated spatially-anisotropic S=1 antiferromagnet on a square lattice

Jiang, HC; Krüger, F; Moore, JE; Sheng, DN; Zaanen, J; Weng, ZY; (2009) Phase diagram of the frustrated spatially-anisotropic S=1 antiferromagnet on a square lattice. Physical Review B , 79 (17) , Article 174409. 10.1103/PhysRevB.79.174409.

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Abstract

We study the S=1 square lattice Heisenberg antiferromagnet with spatially anisotropic nearest-neighbor couplings J1x and J1y frustrated by a next-nearest-neighbor coupling J2 numerically using the density-matrix renormalization-group (DMRG) method and analytically employing the Schwinger-Boson mean-field theory (SBMFT). Up to relatively strong values of the anisotropy, within both methods we find quantum fluctuations to stabilize the Néel-ordered state above the classically stable region. Whereas SBMFT suggests a fluctuation-induced first-order transition between the Néel state and a stripe antiferromagnet for 1/3≤J1x/J1y≤1 and an intermediate paramagnetic region opening only for very strong anisotropy, the DMRG results clearly demonstrate that the two magnetically ordered phases are separated by a quantum-disordered region for all values of the anisotropy with the remarkable implication that the quantum paramagnetic phase of the spatially isotropic J1−J2 model is continuously connected to the limit of decoupled Haldane spin chains. Our findings indicate that for S=1 quantum fluctuations in strongly frustrated antiferromagnets are crucial and not correctly treated on the semiclassical level.

Type: Article
Title: Phase diagram of the frustrated spatially-anisotropic S=1 antiferromagnet on a square lattice
DOI: 10.1103/PhysRevB.79.174409
Publisher version: http://dx.doi.org/10.1103/PhysRevB.79.174409
Language: English
Additional information: Copyright © 2009 The American Physical Society.
Keywords: antiferromagnetism, frustration, Heisenberg model, magnetic anisotropy, magnetic transitions, paramagnetic-antiferromagnetic transitions, renormalisation
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology
URI: http://discovery.ucl.ac.uk/id/eprint/1450186
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