Lattice Model for theλTransition in a Bose Fluid

Abstract

The critical properties of a lattice of planar classical "spins," which can be considered as a model for the $\lambda$ transition in a Bose fluid, are studied using high-temperature series expansions. It is conjectured that in three dimensions the critical exponents ($T>\mathrm{}{T}_c$) for the specific heat and susceptibility of the model are $\alpha =0\mathrm{}$ (corresponding to a logarithmic singularity) and $\gamma =1\mathrm{}\frac{5}{16}$, respectively.