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Elsevier eBooks

Frequency dependence of resonance in one-dimensional antiferromagnetic Heisenberg chain

Akira Ogasahara, Seiji Miyashita

Published Jan 1, 2002• 0 citations
Publisher
DOI
10.1016/b978-044450973-4/50010-x

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Significance of the non-2-spinon part of S(q,ω)S(q,ω)S(q,ω) in the one-dimensional S=1/2S=1/2S=1/2 Heisenberg antiferromagnet at zero temperature
The impact of the non-2-spinon excitations of the one-dimensional S=1/2S=1/2S=1/2 Heisenberg antiferromagnet on the integrated intensity, the susceptibility, the frequency moments, and the Euclidian time representation of the T=0T=0T=0 dynamic spin structure factor S(q,ω)S(q,ω)S(q,ω) is studied on the basis of finite-size data for chains with up to N=28N=28N=28 sites.
We study the quenching of the Haldane gap in quasi-one-dimensional systems of weakly coupled spin-1 antiferromagnetic Heisenberg chains. The critical interchain coupling Jc required to stabilize long range magnetic order can be accurately determined from large scale quantum Monte Carlo calculations. Several different geometries of coupled chains are studied, illustrating the dependence of Jc on the coordination of chains. For bipartite geometries, ferromagnetically coupled chains yield similar magnitudes for Jc.
We study the quenching of the Haldane gap in quasi-one-dimensional systems of weakly coupled spin-1 antiferromagnetic Heisenberg chains. The critical interchain coupling Jc required to stabilize long range magnetic order can be accurately determined from large scale quantum Monte Carlo calculations. Several different geometries of coupled chains are studied, illustrating the dependence of Jc on the coordination of chains. For bipartite geometries, ferromagnetically coupled chains yield similar magnitudes for Jc.