Equal Time Correlations in Haldane Gap Antiferromagnets

Details Equal Time Correlations in Haldane Gap Antiferromagnets Equal Time Correlations in Haldane Gap Antiferromagnets

1994-02-08

arxiv.org/abs/cond-mat/9402035v1

Physics

Condensed Matter

32 pages, uufiles encoded REVTEX 3.0, 19 postscript figures included, UBCTP-93-026

Scientific paper

10.1103/PhysRevB.49.15771

The $S=1$ antiferromagnetic Heisenberg chain both with and without single ion anisotropy is studied. Using the recently proposed density matrix renormalization group technique we calculate the energy gaps as well as several different correlation functions. The two gaps, $\Delta_{||}, \Delta_\perp$, along with associated correlation lengths and velocities are determined. The numerical results are shown to be in good agreement with theoretical predictions derived from the nonlinear sigma model and a free boson model. We also study the $S=1/2$ excitations that occur at the ends of open chains; in particular we study the behavior associated with open boundary conditions, using a model of $S=1/2$ spins coupled to the free bosons.

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