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. © 2008 Springer.
XXZ-like phase in the F-AF anisotropic Heisenberg chain
AVELLA, Adolfo;MANCINI, Ferdinando;PLEKHANOV, Evgeny
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. © 2008 Springer.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
