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Fermionic valence bond approach in terms of SU(4) representation is proposedto describe the $J_{1}-J_{2}$ frustrated Heisenberg antiferromagnetic (AF)model on a {\it bipartite} square lattice. A uniform mean field solutionwithout breaking the translational and rotational symmetries describes avalence bond spin liquid state, interpolating the two different AF orderedstates in the large $J_{1}$ and large $J_{2}$ limits, respectively. This novelspin liquid state is gapless with the vanishing density of states at the Ferminodal points. Moreover, a sharp resonance peak in the dynamic structure factoris predicted for momenta ${\bf q}=(0,0)$ and $(\pi ,\pi)$ in the stronglyfrustrated limit $J_{2}/J_{1}\sim 1/2$, which can be checked by neutronscattering experiment.Comment: Revtex file, 4 pages, 4 figure

physical review letters

Valence-Bond Spin-Liquid State in Two-Dimensional Frustrated Spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn>1</mml:mn><mml:mo>/</mml:mo><mml:mn>2</mml:mn></mml:math>Heisenberg Antiferromagnets

Valence-Bond Spin-Liquid State in Two-Dimensional Frustrated Spin-1/2Heisenberg Antiferromagnets