XXZ-like phase in the F-AF anisotropic Heisenberg chain
Dipartimento di Fisica “E.R. Caianiello” – Unità CNISM di Salerno, Università degli Studi di Salerno, 84081 Baronissi (SA), Italy
Corresponding author: a firstname.lastname@example.org
Revised: 15 October 2008
Published online: 27 November 2008
By means of the Density Matrix Renormalization Group technique, we have studied the region where XXZ-like behavior is most likely to emerge within the phase diagram of the F-AF anisotropic extended (J-J') Heisenberg chain. We have analyzed, in great detail, the equal-time two-spin correlation functions, both in- and out-of- plane, as functions of the distance (and momentum). Then, we have extracted, through an accurate fitting procedure, the exponents of the asymptotic power-law decay of the spatial correlations. We have used the exact solution of XXZ model (J' = 0) to benchmark our results, which clearly show the expected agreement. A critical value of J' has been found where the relevant power-law decay exponent is independent of the in-plane nearest-neighbor coupling.
PACS: 75.10.Jm – Quantized spin models / 75.50.Ee – Antiferromagnetics / 75.10.Pq – Spin chain models / 75.40.Mg – Numerical simulation studies
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008