Néel and disordered phases of coupled Heisenberg chains with $S=1/2$ to S=4

Abstract

We use the two-step density-matrix renormalization group method to study the effects of frustration in Heisenberg models for $S=1/2$ to S=4 in a two-dimensional anisotropic lattice. We find that as in $S=1/2$ studied previously, the system is made of nearly disconnected chains at the maximally frustrated point, $J_d/J_{\perp }=0.5$, i.e., the transverse spin-spin correlations decay exponentially. This leads to the following consequences: (i) all half-integer spins systems are gapless, behaving like a sliding Luttinger liquid as in $S=1/2$; (ii) for integer spins, there is an intermediate disordered phase with a spin gap, with the width of the disordered state is roughly proportional to the 1D Haldane gap.

13 pages, 22 figures

References in corpus (3)

• "Deconfined" quantum critical points
• Dimerized phase and transitions in a spatially anisotropic square lattice antiferromagnet
• Confinement and deconfinement of spinons in a frustrated spin-1/2 Heisenberg model

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• Magnetic order in spin-1 and spin-3/2 interpolating square-triangle Heisenberg antiferromagnets
• Magnon bands of N-leg integer-spin antiferromagnetic systems in the weak interchain-coupling regime
• The behavior of the entanglement entropy in interacting quasi-1D systems and its consequences for their efficient numerical study