Ground-state phase diagram of the mixed spin-1/2 and spin-1 Ising-Heisenberg model on doubly decorated planar lattices is examined using the generalized decoration-iteration transformation.The main attention is devoted to the comparison of the ground-state properties of the quantum Ising-Heisenberg model and its semi-classical Ising analogue.

arXiv:0708.4105Acta Physica Polonica AJan 1, 20087 citations

Journal of Magnetism and Magnetic Materials

Ground state properties of the axially frustrated quantum Heisenberg model

Kengo Tanaka

Published Nov 8, 2006• 0 citations

Publisher

DOI: 10.1016/j.jmmm.2006.10.438

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S=\frac{1}{2}, 1, \mathrm{and} \frac{3}{2}

. Higher spin values do not give new features in the phase diagram. the limitations of finite-lattice extrapolation are discussed in connection with the possibility of a singlet phase for the

S=1

isotropic Heisenberg antiferromagnet.

Motivated by the discovery of spiral and modulated collinear phases in several magnetic materials, we investigate the magnetic properties of Heisenberg spin

S=1/2

antiferromagnets in two and three dimensions, with frustration arising from second-neighbor couplings in one axial direction [the axial next-nearest-neighbor Heisenberg (ANNNH) model]. Our results clearly demonstrate the presence of an incommensurate spiral phase at

T=0

in two dimensions, extending to finite temperatures in three dimensions. The crossover between N\'eel and spiral order occurs at a value of the frustration parameter considerably above the classical value 0.25, a sign of substantial quantum fluctuations. We also investigate a possible modulated collinear phase with a wavelength of four lattice spacings and find that it has substantially higher energy and hence is not realized in the model.