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Frustrated antiferromagnetic anisotropic Heisenberg model on two-dimensional systems: A linear spin-wave theory analysis

A. Benyoussef, Abdelrhani Boubekri, Hamid Ez-zahraouy A

Physics Letters AFeb 1, 199812 citations

Odd Number of Coupled Antiferromagnetic Anisotropic Heisenberg systems: Linear Spin Wave Analysis

A. Benyoussef, Abderrazak Boubekri, Hamid Ez-zahraouy A

The effect of anisotropies on the energy gap and magnetization for odd number of coupled quantum spin-1/2 antiferromagnetic anisotropic Heisenberg systems is investigated using the linear spin wave theory. However, for the chains, the energy gap opens above a critical anisotropy. While, for the planes, in the isotropic case, such system exhibits a long-range order and no energy gap. Whereas, in the anisotropic case the energy gap opens above a critical anisotropic value. Known results of the isotropic case have been obtained.The effect of anisotropies on the energy gap and magnetization for odd number of coupled quantum spin-1/2 antiferromagnetic anisotropic Heisenberg systems is investigated using the linear spin wave theory. However, for the chains, the energy gap opens above a critical anisotropy. While, for the planes, in the isotropic case, such system exhibits a long-range order and no energy gap. Whereas, in the anisotropic case the energy gap opens above a critical anisotropic value. Known results of the isotropic case have been obtained.

PRSMMar 7, 20110 citations

Spin-1 antiferromagnetic interaction in the coupled Heisenberg chains

Z. Song

Physics Letters AJun 1, 19977 citations

Odd Number of Coupled Antiferromagnetic Anisotropic Heisenberg Chains with Dzyaloshinskii-Moriya Interaction

A. Benyoussef, Abderrazak Boubekri, Hamid Ez-zahraouy A

Using the linear spin-wave analysis, we have studied the effect of the Dzyaloshinskii-Moriya interaction on the stability of the Néel phase and the energy gap for the XXZ Heisenberg model on the odd number of coupled chains. We have found that the instability of the Néel state occurs below a critical value of the easy-axis anisotropy and the energy gap vanishes above a critical value of the DM interaction.

physica status solidi (b)Apr 1, 19991 citation

A Numerical Study of Spin-1/2 Alternating Antiferromagnetic Heisenberg Chains

KIYOMI OKAMOTO

Jan 1, 19860 citations

Critical Behaviour of Mixed Heisenberg Chains

F. C. Alcaraz, A. L. Malvezzi

The critical behaviour of anisotropic Heisenberg models with two kinds of antiferromagnetically exchange-coupled centers are studied numerically by using finite-size calculations and conformal invariance. These models exhibit the interesting property of ferrimagnetism instead of antiferromagnetism. Most of our results are centered in the mixed Heisenberg chain where we have at even (odd) sites a spin-S (S ′) SU(2) operator interacting with a XXZ like interaction (anisotropy ∆). Our results indicate universal properties for all these chains. The whole phase, 1> ∆> −1, where the models change from ferromagnetic ( ∆ = 1) to ferrimagnetic ( ∆ = −1) behaviour is critical. Along this phase the critical fluctuations are ruled by a c = 1 conformal field theory of Gaussian type. The conformal dimensions and critical exponents, along this phase, are calculated by studying these models with several boundary conditions. 1The critical behaviour of anisotropic Heisenberg models with two kinds of antiferromagnetically exchange-coupled centers are studied numerically by using finite-size calculations and conformal invariance. These models exhibit the interesting property of ferrimagnetism instead of antiferromagnetism. Most of our results are centered in the mixed Heisenberg chain where we have at even (odd) sites a spin-S (S ′) SU(2) operator interacting with a XXZ like interaction (anisotropy ∆). Our results indicate universal properties for all these chains. The whole phase, 1> ∆> −1, where the models change from ferromagnetic ( ∆ = 1) to ferrimagnetic ( ∆ = −1) behaviour is critical. Along this phase the critical fluctuations are ruled by a c = 1 conformal field theory of Gaussian type. The conformal dimensions and critical exponents, along this phase, are calculated by studying these models with several boundary conditions. 1

Jan 1, 199628 citations

Odd number of coupled antiferromagnetic anisotropic Heisenberg chains: spin wave theory

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Odd number of coupled antiferromagnetic anisotropic Heisenberg chains: spin wave theory

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