Eur. Phys. J. B 66, 295-299 (2008)
https://doi.org/10.1140/epjb/e2008-00424-2

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 avella@physics.unisa.it

Received: 31 July 2008
Revised: 15 October 2008
Published online: 27 November 2008

Abstract

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.