Abstract
We study the behavior of a model of two XXZ spin chains coupled by an isotropic exchange interaction as the anisotropies and spin velocities in the individual chains are varied. In the limit of large antiferromagnetic we map the model’s low-energy sector onto an Ising model in a transverse field; in the limit of large ferromagnetic we map the model’s low-energy sector onto that of a single spin-one chain. For small , we study the model perturbatively via Abelian and non-Abelian bosonization. We determine the possible phases, approximate locations of the phase boundaries, universality classes of the transitions, and asymptotic behavior of correlation functions. We believe our model captures the essential physics of the interplay between the compensation of local moments and magnetic ordering, which may be important for the heavy-fermion materials.
- Received 22 June 1994
DOI:https://doi.org/10.1103/PhysRevB.50.9911
©1994 American Physical Society