Abstract
Convincing evidence that the correlation function ω(l,N)=4〈〉 obeys finite-size scaling for the XY model is obtained from large rings (number of spins N up to ≊1000). ω(l,N) for the Heisenberg model behaves much like the XY model for the small N’s available (up to 18), suggesting finite-size scaling in the Heisenberg model. The scaling function, f(l/N)≊ω(l,N)/ω(l,∞), seems to show the remarkable property , with α≊1.75. Also, α appears to vary smoothly with the exchange-parameter ratio γ=/. The scaling assumption is used to estimate ω(l,∞).
- Received 5 May 1986
DOI:https://doi.org/10.1103/PhysRevB.35.1877
©1987 American Physical Society