DYNAMIC CORRELATIONS OF ANTIFERROMAGNETIC SPIN-1 2 XXZ CHAINS AT ARBITRARY TEMPERATURE FROM COMPLETE DIAGONALIZATION/

Citation
K. Fabricius et al., DYNAMIC CORRELATIONS OF ANTIFERROMAGNETIC SPIN-1 2 XXZ CHAINS AT ARBITRARY TEMPERATURE FROM COMPLETE DIAGONALIZATION/, Physical review. B, Condensed matter, 55(9), 1997, pp. 5833-5846
Citations number
49
Categorie Soggetti
Physics, Condensed Matter
ISSN journal
01631829
Volume
55
Issue
9
Year of publication
1997
Pages
5833 - 5846
Database
ISI
SICI code
0163-1829(1997)55:9<5833:DCOAS2>2.0.ZU;2-I
Abstract
All eigenstates and eigenvalues are determined for the spin-1/2 XXZ ch ain H=2J Sigma(i)((SiSi+1x)-S-x+(SiSi+1y)-S-y+Delta (SiSi+1z)-S-z) for rings with up to N=16 spins, for anisotropies Delta=0, cos(0.3 pi), a nd 1. The dynamic spin pair correlations [S-l+n(mu)(t)S-l(mu)], (mu=x, z), the dynamic structure factors S-mu(q,omega), and the intermediate structure factors I-mu(q,t) are calculated for arbitrary temperature T . It is found that for all T, S-z(q,omega) is mainly concentrated on t he region \omega\<epsilon(2)(q), where epsilon(2)(q) is the upper boun dary of the two-spinon continuum, although excited states correspondin g to a much broader frequency spectrum contribute. This is also true f or the Haldane-Shastry model and the frustrated Heisenberg model. The intermediate structure factors I-mu(q,t) for Delta not equal 0 show ex ponential decay for high T and large q. Within the accessible time ran ge, the time-dependent spin-correlation functions do not display the l ong-time signatures of spin diffusion.