A tensor network study of the complete ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice

Using infinite projected entangled pair states, we study the ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice directly in the thermodynamic limit. We find an unexpected partially nematic partially magnetic phase in between the antiferroquadrupolar...

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Bibliographic Details
Published in:arXiv.org 2017-09
Main Authors: Niesen, Ido, Corboz, Philippe
Format: Article
Language:English
Subjects:
Ferromagnetism
Ground state
Heisenberg theory
Phase diagrams
Phase transitions
Statistical models
Tensors
Online Access:Get full text
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Summary:Using infinite projected entangled pair states, we study the ground state phase diagram of the spin-1 bilinear-biquadratic Heisenberg model on the square lattice directly in the thermodynamic limit. We find an unexpected partially nematic partially magnetic phase in between the antiferroquadrupolar and ferromagnetic regions. Furthermore, we describe all observed phases and discuss the nature of the phase transitions involved.
ISSN:2331-8422
DOI:10.48550/arxiv.1707.01953