Quantum magnets on the honeycomb and triangular lattices at<i>T</i>=0
Квантовые магниты на гексагональной и треугольной решётках при T = 0
1992-05-01
SCID: 54.1/rjen52ck
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Ising-limit series expansionshoneycomb latticequantum spin modelsspin-wave theorytriangular lattice
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Abstract (AI)
We use series expansions around the Ising limit to study several anisotropic quantum spin models on the honeycomb and triangular lattices. These include the antiferromagnetic spin-1/2 and spin-1 Heisenberg model, and the XY antiferromagnet on the honeycomb lattice, and also the XY ferromagnet on the triangular lattice. Series are calculated for the ground-state energy, energy gap, magnetization, and magnetic susceptibility in each spin direction. Extrapolating these series to the isotropic limit, we find quite good agreement with the predictions of spin-wave theory.
Key Findings
1
Extrapolation of the series to the isotropic limit agrees well with spin-wave theory predictions.
2
Ground-state energy, excitation gap, magnetization, and direction-resolved magnetic susceptibility are calculated for each model.
3
Series expansions about the Ising limit analyze anisotropic quantum spin models on honeycomb and triangular lattices at zero temperature.
4
The studied systems include spin-1/2 and spin-1 antiferromagnetic Heisenberg models, a honeycomb-lattice XY antiferromagnet, and a triangular-lattice XY ferromagnet.
Research Object
Anisotropic quantum spin models on honeycomb and triangular lattices at T=0, including spin-1/2 and spin-1 Heisenberg antiferromagnets and XY ferro- and antiferromagnets
Research Subject
Ground-state energy, energy gap, magnetization, and directional magnetic susceptibility, including their behavior toward the isotropic limit
Publication Details
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1992-05-01
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