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Solid State Communications

Exact solution of anisotropic antiferromagnetic alternating Heisenberg–Ising spin chain

Hong Yao, Jun Li, Chang-De Gong

Published Mar 1, 2002• 14 citations
Publisher
DOI
10.1016/s0038-1098(02)00070-4

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Scaling behavior of spin gap of a bond alternating spin-1/2 anisotropic Heisenberg chain has been studied both in ferromagnetic (FM) and antiferromagnetic (AFM) cases. Spin gap has been estimated by using exact diagonalization technique. All those quantities have been obtained for a region of anisotropic parameter Δ defined by 0≤Δ≤1. Spin gap is found to develop as soon as the non-uniformity in the alternating bond strength is introduced in the AFM regime which furthermore sustains in the FM regime as well. Scaling behavior of the spin gap has been studied by introducing scaling exponent. The variation of scaling exponents with Δ is fitted with a regular function.
The ground state phase diagram of the alternating spin-1/2 chains with anisotropic ferromagnetic coupling under the influence of a symmetry breaking transverse magnetic field is studied. We have used the exact diagonalization technique. In the limit where the antiferromagnetic coupling is dominant, we have identified two Ising-type quantum phase transitions. We have calculated two critical fields hc1h_{c_{1}}hc1​​ and hc2h_{c_{2}}hc2​​, corresponding to the transition between different magnetic phases of the system. It is found that the intermediate state ($h_{c_{1}}