Low-energy properties of two-leg spin-1 antiferromagnetic ladders with commensurate external fields and their extensions

Abstract

This study addresses low-energy properties of 2-leg spin-1 ladders with antiferromagnetic (AF) intrachain coupling under a uniform or staggered external field $H$, and a few of their modifications. The generalization to spin-$S$ ladders is also discussed. In the strong AF rung (interchain)-coupling $J_{\perp }$ region, degenerate perturbation theory applied to spin-$S$ ladders predicts $2S$ critical curves in the parameter space $(J_{\perp },H)$ for the staggered field case, in contrast to $2S$ finite critical regions for the uniform field case. All critical areas belong to a universality with central charge $c=1$. On the other hand, we employ Abelian and non-Abelian bosonization techniques in the weak rung-coupling region. They show that in the spin-1 ladder, a sufficiently strong uniform field engenders a $c=1$ critical state regardless of the sign of $J_{\perp }$. Whereas, the staggered field is expected not to yield any singular phenomena. From the bosonization techniques, new field-theoretical expressions of string order parameters in the spin-1 systems is also proposed.

25 pages, 14 figures, REVTeX, final version

References in corpus (3)

• Correlation Amplitudes for the spin-1/2 XXZ chain in a magnetic field
• Coupled $S=1/2$ Heisenberg antiferromagnetic chains in an effective staggered field
• Anomalous magnetization process in frustrated spin ladders

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