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ID 46880
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creator
Caux, Jean-Sébastien
Konno, Hitoshi
Sorrell, Mark
Weston, Robert
NDC
Physics
abstract
We consider the XXZ quantum spin chain in its massless, disordered regime at zero field. We derive an exact expression for the two-spinon form-factor of Sz = 1/2σz by taking a limit of the massive XYZ form-factors found by Lashkevich and by Lukyanov and Terras. This result is used to find the two-spinon contribution to the spectral decomposition of the longitudinal structure factor Szz(k, w). We find that this contribution provides an accurate approximation to the full structure factor over a wide range of the anisotropy parameter. The asymptotic behaviour of Szz(k, w) is computed as the upper and lower w thresholds of the two-spinon (w, k) band are approached, and an analysis of the region of validity of this threshold behaviour is performed. Our results reproduce and refine existing threshold behaviour predictions and extend these results to an accurate description throughout the two-spinon continuum.
journal title
Journal of Statistical Mechanics: Theory and Experiment
volume
Volume 2012
start page
P01007
date of issued
2012-01-16
publisher
IOP Publishing Ltd
issn
1742-5468
publisher doi
language
eng
nii type
Journal Article
HU type
Journal Articles
DCMI type
text
format
application/pdf
text version
author
rights
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
relation url
department
Graduate School of Science