Abstract
The life of Ernst Ising and the steps to solving the model named after him
are reported in parallel. Wilhelm Lenz suggested his student Ernst Ising to
explain the existence of ferromagnetism on the basis of his publication in
1920. The result, published in 1925 was disappointing, because only the one
dimensional case could be solved with a negative result about the absence of
ferromagnetism. Wolfgang Pauli who was an assistant of Lenz in Hamburg
published in the same year his 'nonclassical ambiguity', later identified as
the spin of the electron, and the exclusion principle. He was the first - at
the Solvay Conference in 1930 - to present the Hamiltonian of the Ising model
as we know it today.
Meanwhile Ising had left university research and due to the political
situation in 1938 had to leave Germany and fled to Luxemburg. This went in hand
with damaging the network of researchers dealing with the problem of
ferromagnetism and more generally with phase transitions and statistical
physics. In 1944, the year when Luxemburg was liberated by the American troops
and Ising and his family was rescued, Lars Onsager presented a solution of the
two-dimensional case. In 1952 Chen-Ning Yang solved the problem of Ising's
thesis in two dimensions; one year later Ising became the US citizenship. The
following development showed, that the model turned out to be a highway to
modern physics concepts applicable also in other fields, although the final
exact solution in three dimensions has not yet been reached.