GROUND-STATE PROPERTIES OF THE ONE-DIMENSIONAL SPIN-1/2 HEISENBERG-XY ANTIFERROMAGNET WITH COMPETING INTERACTIONS

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Abstract
We study the ground-state properties of the one-dimensional spin-112 Heisenberg-XY magnet with antifer- romagnetic first- and second-neighbor interactions. Extrapolating exact results for finite-size systems of up to 20 spins, we estimate the behavior at the infinitesize limit. The limiting ground state has a finite gap when the second-neighbor interaction is sufficiently large. In the past years a lot of work has been devoted to the study of magnetic systems wit6 competing in- teractions. Most systems treated in this kind of work, however, is restricted to classical spin systems. In or- der to examine the quantum effect on the competition of interactions, we consider here the one-dimensional

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