Influence of the spin quantum number s on the zero-temperature phase transition in the square lattice J-J' model

Abstract

We investigate the phase diagram of the Heisenberg antiferromagnet on the square lattice with two different nearest-neighbor bonds J and J' (J-J' model) at zero temperature. The model exhibits a quantum phase transition at a critical value J'c > J between a semi-classically ordered Néel and a magnetically disordered quantum paramagnetic phase of valence-bond type, which is driven by local singlet formation on J' bonds. We study the influence of spin quantum number s on this phase transition by means of a variational mean-field approach, the coupled cluster method, and the Lanczos exact-diagonalization technique. We present evidence that the critical value J'c increases with growing s according to J'c s(s+1).

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