Nematic order in square lattice frustrated ferromagnets

Abstract

We present a new scenario for the breakdown of ferromagnetic order in a two-dimensional quantum magnet with competing ferromagnetic and antiferromagnetic interactions. In this, dynamical effects lead to the formation of two-magnon bound states, which undergo Bose-Einstein condensation, giving rise to bond-centered nematic order. This scenario is explored in some detail for an extended Heisenberg model on a square lattice. In particular, we present numerical evidence confirming the existence of a state with d-wave nematic correlations but no long range magnetic order, lying between the saturated ferromagnetic and collinear antiferromagnetic phases of the ferromagnetic J1-J2 model. We argue by continuity of spectra that this phase is also present in a model with 4-spin cyclic exchange.

5 pages latex + 5 eps figures, accpeted for publication in Phys. Rev. Lett

References in corpus (6)

• Finite size and temperature effects in the AF Heisenberg model
• Finite temperature properties and frustrated ferromagnetism in a square lattice Heisenberg model
• Quadrupolar Order in Isotropic Heisenberg Models with Biquadratic Interaction
• Spin-1/2 frustrated antiferromagnet on a spatially anisotopic square lattice: contribution of exact diagonalizations
• Nematic order in the multiple-spin exchange model on the triangular lattice
• Two-dimensional frustrated Heisenberg model: Variational study

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