Dynamical aspects of spin chains at infinite temperature for different spin quantum numbers

Markus Böhm and Hajo Leschke

Physica A: Statistical Mechanics and its Applications, 1993, vol. 199, issue 1, 116-136

Abstract: For infinite temperature we exactly calculate the coefficients of the short-time expansion of the spin-pair correlations in one-dimensional spin models. For spin quantum numbers s = 1 we present the coefficients up to order t18 and t22, for classical spins up to order t16 and t18 for the isotropic Heisenberg chain and the isotropic XY-chain, respectively. These coefficients are used together with recently determined ones for s = 12 to compute bounds on the autocorrelation functions, to approximate the associated spectral densities and to bound the spatial variances of pair correlations. The results are compared with those obtained from simulation data of Gerling and Landau (Phys. Rev. B 42 (1990) 8214) for classical spin chains. Over the available time region, we find a rather smooth dependence of the dynamics on the spin quantum number and see some evidence for spin diffusion.

Date: 1993
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/0378437193901019
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:199:y:1993:i:1:p:116-136

DOI: 10.1016/0378-4371(93)90101-9

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().