6533b834fe1ef96bd129d63d
RESEARCH PRODUCT
XXZ-like phase in the F-AF anisotropic Heisenberg chain
Evgeny PlekhanovAdolfo AvellaFerdinando Mancinisubject
PhysicsStrongly Correlated Electrons (cond-mat.str-el)Plane (geometry)Density matrix renormalization groupFOS: Physical sciencesCondensed Matter PhysicsCritical valueElectronic Optical and Magnetic MaterialsMomentumCondensed Matter - Strongly Correlated ElectronsExact solutions in general relativityExponentAnisotropyMathematical physicsPhase diagramdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2008-01-01 |