Abstract
The density of Lee-Yang zeros, in the thermodynamic limit, for classical -vector models and for the quantum Heisenberg model is studied in the asymptotic high-temperature limit. It is shown that the high-temperature series expansions for these models reduce, in this limit, to the corresponding low-density expansions for the monomer-dimer problem with negative dimer activity. If the density of zeros, , on the imaginary axis of the complex reduced-magnetic-field plane, , has an algebraic singularity at the edge of the gap in the zero distribution, , then is independent of in this limit. Analyzing dimer density series on various lattices by means of the ratio test, Dlog Padé, the recursion-relation method, and inhomogeneous differential approximants, we obtain the estimates for dimensions and for .
- Received 26 April 1979
DOI:https://doi.org/10.1103/PhysRevB.20.2785
©1979 American Physical Society