Spontaneous Magnetization in the Two-Dimensional Ising Model

By Yury M. Zinoviev. 2003

231 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Ising Field Theory in a Magnetic Field: Analytic Properties of the Free Energy (2001, background): “1) at h = 0 and all τ [4,5,6,7,8], and at τ = 0 and all h [9,10]; these data are collected in [11]) as well as much numerical data [12,13,1,14,15] about this function, its complete analytic characterization is still lacking.”
Random Currents and Continuity of Ising Model’s Spontaneous Magnetization (2013, methodology): “nge models that fall between these two ranges). The earliest results have been derived for the nearest neighbor model in d = 2 dimensions, for which the spontaneous magnetization was computed by Yang [Yan52], using the methods of [Ons44, Kau49]. Prior to that, Kaufman and Onsager [KO49] showed that ”
Towards conformal invariance of 2D lattice models (2007, background): “Essentially all we need can be reduced by monotonicity arguments to spin correlation estimates of Bruria Kaufman, Lars Onsager and Chen Ning Yang [14], [44].”
Conformal invariance of spin correlations in the planar Ising model (2012, background): “The Onsager’s formula for the spontaneous magnetization was proven by Yang [Yan52].”