Finite-size scaling for the spin-1/2 Heisenberg antiferromagnetic chain

Authors
Barzykin, V Affleck, I
Citation
V. Barzykin et I. Affleck, Finite-size scaling for the spin-1/2 Heisenberg antiferromagnetic chain, J PHYS A, 32(6), 1999, pp. 867-874
Citations number
10
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
6
Year of publication
1999
Pages
867 - 874
Database
ISI
SICI code
0305-4470(19990212)32:6<867:FSFTSH>2.0.ZU;2-4
Abstract
Corrections to the asymptotic correlation function in a Heisenberg spin-1/2 antiferromagnetic spin chain are known to vanish slowly (logarithmically) as a function of the distance r or the chain size L. This leads to signific ant differences with numerical results. We calculate the sub-leading logari thmic corrections to the finite-size correlation function, using renormaliz ation group improved perturbation theory, and compare the result with numer ical data.