Rigorous Non-Perturbative Ornstein-Zernike Theory for Ising Ferromagnets

Abstract

We rigorously derive the Ornstein-Zernike asymptotics of the pair-correlation functions for finite-range Ising ferromagnets in any dimensions and at any temperature above critical.

References in corpus (1)

• Interface Pinning and Finite-Size Effects in the 2D Ising Model

Cited by in corpus (4)

• Four-point interfacial correlation functions in two dimensions. Exact results from field theory and numerical simulations
• Spin-spin correlations in ferromagnetic nanosystems
• A local limit theorem for triple connections in subcritical Bernoulli percolation
• Failure of Ornstein--Zernike asymptotics for the pair correlation function at high temperature and small density