Low temperature broken symmetry phases of spiral antiferromagnets

Abstract

We study Heisenberg antiferromagnets with nearest- (J1) and third- (J3) neighbor exchange on the square lattice. In the limit of large spin S, there is a zero temperature (T) Lifshitz point at J3 = (1/4) J1, with long-range spiral spin order at T=0 for J3 > (1/4) J1. We present classical Monte Carlo simulations and a theory for T>0 crossovers near the Lifshitz point: spin rotation symmetry is restored at any T>0, but there is a broken lattice reflection symmetry for 0 <= T < Tc ~ (J3-(1/4) J1) S^2. The transition at T=Tc is consistent with Ising universality. We also discuss the quantum phase diagram for finite S.

4 pages, 5 figures

References in corpus (2)

• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Ising transition in the two-dimensional quantum $J_1-J_2$ Heisenberg model

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