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Excitation spectra of the spin-1 antiferromagnetic Heisenberg chain

Makoto Kaburagi, Takashi Tonegawa

Journal of Magnetism and Magnetic MaterialsJan 1, 19980 citations

Complexes of Several Spins in a Linear Heisenberg Chain

А. А. Овчинников

Jan 1, 19674 citations

Low-Energy Structure of Heisenberg Ferrimagnetic Spin Chains

Shoji Yamamoto, Tôru Sakai

Static and dynamic structure factors of Heisenberg ferrimagnetic spin chains are numerically investigated. There exist two distinct branches of elementary excitations, which exhibit ferromagnetic and antiferromagnetic aspects. The ferromagnetic feature is smeared out with the increase of temperature, whereas the antiferromagnetic one persists up to higher temperatures. The scattering intensity is remarkably large at lower boundaries of the ferromagnetic and antiferromagnetic spectra. All these observations are consistent with the ferromagnetic-to-antiferromagnetic crossover in the thermal behavior which has recently been reported.Static and dynamic structure factors of Heisenberg ferrimagnetic spin chains are numerically investigated. There exist two distinct branches of elementary excitations, which exhibit ferromagnetic and antiferromagnetic aspects. The ferromagnetic feature is smeared out with the increase of temperature, whereas the antiferromagnetic one persists up to higher temperatures. The scattering intensity is remarkably large at lower boundaries of the ferromagnetic and antiferromagnetic spectra. All these observations are consistent with the ferromagnetic-to-antiferromagnetic crossover in the thermal behavior which has recently been reported.

arXiv:cond-mat/9810113Journal of the Physical Society of JapanNov 1, 199823 citations

On some mathematical aspects of the Heisenberg relation

Liu Zhe

Science China MathematicsAug 4, 201112 citations

On the anisotropic Heisenberg chain

E.J. Van Dongen, Hans W. Capel, Th.J. Siskens

Physica A Statistical Mechanics and its ApplicationsJan 1, 19756 citations

On structural invariants of energy spectrum of S=1 Heisenberg antiferromagnets with single-ion anisotropy

Victor Tokariev, Mariia Fedorenko

We study the relationship of the energy spectrum of finite S=1 Heisenberg antiferromagnets with their structure in the presence of single-ion anisotropy. We show that in the limit of strong easy-plane anisotropy magnets with the structure of adjacency cospectral graphs have equal ground state energies with magnetization M=0. We derive additional necessary condition for equality of lowest energy levels with M=±1. For strong easy-axis anisotropy we found that bipartite S=1 magnets with structures, for which S=1/2 Ising models have equal spectra for arbitrary longitudinal magnetic field, have close energy spectra of S=1 antiferromagnets for arbitrary parameter of single-ion anisotropy. For moderate easy-axis anisotropy bipartite S=1 antiferromagnets with equal energies of spin waves in linear approximation are also approximately isoenergetic. Overall, this explains the remarkable similarity of energy spectra in M=0 subspace for S=1 antiferromagnetic Heisenberg model on bipartite cospectral regular graphs.We study the relationship of the energy spectrum of finite S=1 Heisenberg antiferromagnets with their structure in the presence of single-ion anisotropy. We show that in the limit of strong easy-plane anisotropy magnets with the structure of adjacency cospectral graphs have equal ground state energies with magnetization M=0. We derive additional necessary condition for equality of lowest energy levels with M=±1. For strong easy-axis anisotropy we found that bipartite S=1 magnets with structures, for which S=1/2 Ising models have equal spectra for arbitrary longitudinal magnetic field, have close energy spectra of S=1 antiferromagnets for arbitrary parameter of single-ion anisotropy. For moderate easy-axis anisotropy bipartite S=1 antiferromagnets with equal energies of spin waves in linear approximation are also approximately isoenergetic. Overall, this explains the remarkable similarity of energy spectra in M=0 subspace for S=1 antiferromagnetic Heisenberg model on bipartite cospectral regular graphs.

Kharkov University Bulletin Chemical SeriesJun 21, 20240 citations

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