Valence bond spin liquid state in two-dimensional frustrated spin-1/2 Heisenberg antiferromagnets

Abstract

Fermionic valence bond approach in terms of SU(4) representation is proposed to describe the $J_1-J_2$ frustrated Heisenberg antiferromagnetic (AF) model on a {\it bipartite} square lattice. A uniform mean field solution without breaking the translational and rotational symmetries describes a valence bond spin liquid state, interpolating the two different AF ordered states in the large $J_1$ and large $J_2$ limits, respectively. This novel spin liquid state is gapless with the vanishing density of states at the Fermi nodal points. Moreover, a sharp resonance peak in the dynamic structure factor is predicted for momenta $\mathbf{q}=(0,0)$ and $(\pi ,\pi )$ in the strongly frustrated limit $J_2/J_1\sim 1/2$, which can be checked by neutron scattering experiment.

Revtex file, 4 pages, 4 figures

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