Quantum phase transitions in the Triangular-lattice Bilayer Heisenberg Model

Details Quantum phase transitions in the Triangular-lattice Bilayer Heisenberg Model Quantum phase transitions in the Triangular-lattice Bilayer Heisenberg Model

1998-07-16

arxiv.org/abs/cond-mat/9807247v1

Physics

Condensed Matter

revtex, 4 pages, 3 figures

Scientific paper

10.1103/PhysRevLett.81.4732

We study the triangular lattice bilayer Heisenberg model with antiferromagnetic interplane coupling $J_\perp$ and nearest neighbour intraplane coupling $J= \lambda J_\perp$, which can be ferro- or antiferromagnetic, by expansions in $\lambda$. For negative $\lambda$ a phase transition is found to an ordered phase at a critical $\lambda_c=-0.2636 \pm 0.0001$ which is in the 3D classical Heisenberg universality class. For $\lambda>0$, we find a transition at a rather large $\lambda_c\approx 1.2$. The universality class of the transition is consistent with that of Kawamura's 3D antiferromagnetic stacked triangular lattice. The spectral weight for the triplet excitations, at the ordering wavevector, remains finite at the transition, suggesting that a phase with free spinons does not exist in this model.

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