Possible spin-liquid state at large<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>for the frustrated square Heisenberg lattice

Abstract

We present conventional spin-wave calculations for a frustrated antiferromagnetic Hamiltonian on a square lattice. We find that quantum fluctuations can destabilize the classical ordered ground state, even at large $S$, for large enough values of frustration. This instability is likely to generate a spin liquid, providing the first example of a resonating-valence-bond ground state in two dimensions.