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

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

2003-06-30

arxiv.org/abs/cond-mat/0306727v2

Physical Review Letters, Vol.91, 067201 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

Revtex file, 4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.91.067201

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 ${\bf q}=(0,0)$ and $(\pi ,\pi)$ in the strongly frustrated limit $J_{2}/J_{1}\sim 1/2$, which can be checked by neutron scattering experiment.

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