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

Ido Niesen, Philippe Corboz

SciPost Phys. 3, 030 (2017) · published 28 October 2017

Abstract

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.

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Antiferroquadrupolar phases Ferromagnetic phases Infinite projected entangled pair states (iPEPS) Magnetic phases Spin-1 bilinear-biquadratic Heisenberg model

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