A closer look at symmetry breaking in the collinear phase of the $J_1-J_2$ Heisenberg Model

Details A closer look at symmetry breaking in the collinear phase of the $J_1-J_2$ Heisenberg Model A closer look at symmetry breaking in the collinear phase of the $J_1-J_2$ Heisenberg Model

2003-03-05

arxiv.org/abs/cond-mat/0303075v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages and 5 figures

Scientific paper

10.1103/PhysRevLett.91.017201

The large $J_2$ limit of the square-lattice $J_1-J_2$ Heisenberg antiferromagnet is a classic example of order by disorder where quantum fluctuations select a collinear ground state. Here, we use series expansion methods and a meanfield spin-wave theory to study the excitation spectra in this phase and look for a finite temperature Ising-like transition, corresponding to a broken symmetry of the square-lattice, as first proposed by Chandra et al. (Phys. Rev. Lett. 64, 88 (1990)). We find that the spectra reveal the symmetries of the ordered phase. However, we do not find any evidence for a finite temperature phase transition. Based on an effective field theory we argue that the Ising-like transition occurs only at zero temperature.

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