Emergent Haldane phase in the \(S=1\) bilinear-biquadratic Heisenberg model on the square lattice

Infinite projected entangled pair states simulations of the \(S=1\) bilinear-biquadratic Heisenberg model on the square lattice reveal an emergent Haldane phase in between the previously predicted antiferromagnetic and 3-sublattice 120\(^\circ\) magnetically ordered phases. This intermediate phase p...

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Bibliographic Details
Published in:arXiv.org 2017-05
Main Authors: Niesen, Ido, Corboz, Philippe
Format: Article
Language:English
Subjects:
Antiferromagnetism
Computer simulation
Heisenberg theory
Quantum theory
Statistical models
Symmetry
Online Access:Get full text
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Summary:Infinite projected entangled pair states simulations of the \(S=1\) bilinear-biquadratic Heisenberg model on the square lattice reveal an emergent Haldane phase in between the previously predicted antiferromagnetic and 3-sublattice 120\(^\circ\) magnetically ordered phases. This intermediate phase preserves SU(2) spin and translational symmetry but breaks lattice rotational symmetry, and it can be adiabatically connected to the Haldane phase of decoupled \(S=1\) chains. Our results contradict previous studies which found a direct transition between the two magnetically ordered states.
ISSN:2331-8422
DOI:10.48550/arxiv.1701.05142