The quantum J1-J'1-J2 spin-1 Heisenberg model: Influence of the interchain coupling on the ground-state magnetic ordering in 2D

R. F. Bishop; P. H. Y. Li; R. Darradi; J. Richter

doi:10.1209/0295-5075/83/47004

All issues

Volume 83 / No 4 (August 2008)

EPL, 83 4 (2008) 47004

Abstract

Issue		EPL Volume 83, Number 4, August 2008


Article Number		47004
Number of page(s)		6
Section		Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties
DOI		https://doi.org/10.1209/0295-5075/83/47004
Published online		30 July 2008

EPL, 83 (2008) 47004

The quantum J₁-J'₁-J₂ spin-1 Heisenberg model: Influence of the interchain coupling on the ground-state magnetic ordering in 2D

R. F. Bishop¹^,2, P. H. Y. Li¹^,2, R. Darradi³ and J. Richter³

¹ School of Physics & Astronomy, Schuster Building, The University of Manchester - Manchester, M13 9PL, UK, EU
² School of Physics & Astronomy, University of Minnesota - 116 Church St. SE, Minneapolis, MN 55455, USA
³ Institut für Theoretische Physik, Universität Magdeburg - 39016 Magdeburg, Germany, EU

Received: 21 April 2008
Accepted: 25 June 2008

Abstract

We study the phase diagram of the isotropic J₁- $J'_{1}$ -J₂ Heisenberg model for spin-1 particles on an anisotropic square lattice, using the coupled-cluster method. We find no evidence for an intermediate phase between the Néel and stripe states, as compared with all previous results for the corresponding spin-1/2 case. However, we find a quantum tricritical point at $J'_{1}/J_{1}$ ≈ 0.66± 0.03, $J_{2}/J_{1}$ ≈ 0.35± 0.02, where a line of second-order phase transitions between the quasi-classical Néel and stripe-ordered phases (for $J'_{1}/J_{1}$ ≲ 0.66) meets a line of first-order phase transitions between the same two states (for $J'_{1}/J_{1}$ ≳ 0.66).

PACS: 75.10.Jm – Quantized spin models / 75.30.Gw – Magnetic anisotropy / 75.50.Ee – Antiferromagnetics

© EPLA, 2008

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