Antiferromagnetic long range order in the uniform resonating valence bond state on square lattice

Abstract

With extensive variational Monte Carlo simulation, we show that the uniform resonating valence bond state(U-RVB) on square lattice is actually antiferromagnetic long range ordered. The ordered moment is estimated to be $m\approx 0.17$. Finite size scaling analysis on lattice up to lattice size of $50\times 50$ shows that the spin structure factor at the antiferromagnetic ordering wave vector follows perfectly the ${\mathrm{S}}_{\mathrm{q}=(\pi ,\pi )}\simeq S_0+\alpha (1/L{)}^{5/4}$ behavior, where $L$ is linear scale of the lattice. Such a behavior is quite unexpected from the slave Boson mean field treatment or the Gutzwiller approximation of the uniform RVB state.

4 pages

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Cited by in corpus (6)

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• Projective symmetry group classification of chiral spin liquids
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• Spontaneous symmetry breaking in correlated wave functions
• Mott transition and electronic excitation of the Gutzwiller wavefunction
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice