At some critical temperature, , spontaneous magnetization is said to occur.

Finally, he quickly mentions spontaneous magnetization and the loss of verticity.

Below this temperature the ferromagnet has a spontaneous magnetization.

The spontaneous magnetization H grows near the critical point as the square root of the change in temperature.

Without an external field there are local anisotropies of different orientations, due to spontaneous magnetization.

At low temperature, infrared bound shows that the spontaneous magnetization is strictly positive:

The decrease in spontaneous magnetization at higher temperatures is caused by the increasing excitation of spin waves.

At high temperature and nearest neighbour interaction, the spontaneous magnetization vanishes:

Ferrimagnets often behave like ferromagnets, but the temperature dependence of their spontaneous magnetization can be quite different.

To first order, the temperature dependence of spontaneous magnetization at low temperatures is given by Bloch's Law:

As temperature is increased, the thermal excitation of spin waves reduces a ferromagnet's spontaneous magnetization.

But the spontaneous magnetization in magnetic systems and the density in gasses near the critical point are measured very accurately.

Diamagnetics are defined by the generation of a spontaneous magnetization of a material which directly opposes the direction of an applied field.

They are called ferroelectrics by analogy to ferromagnetic materials, which have spontaneous magnetization and also exhibit hysteresis loops.

The Ising model was solved exactly to show that spontaneous magnetization cannot occur in one dimension but is possible in higher dimensional lattices.

Ferromagnetism involves an additional phenomenon, however: The dipoles tend to align spontaneously, giving rise to a spontaneous magnetization, even when there is no applied field.

It was expected that only for a junction of d symmetry superconductors there could occur a half-integer flux, that is, a spontaneous magnetization.

Below a critical temperature called the Curie temperature, ferromagnets have a spontaneous magnetization and there is hysteresis in their response to a changing magnetic field.

An easy axis is an energetically favorable direction of spontaneous magnetization that is determined by the sources of magnetic anisotropy listed below.

Historically, the term ferromagnet was used for any material that could exhibit spontaneous magnetization: a net magnetic moment in the absence of an external magnetic field.

The concept of a magnon was introduced in 1930 by Felix Bloch in order to explain the reduction of the spontaneous magnetization in a ferromagnet.

Ferrimagnetic materials are like ferromagnets in that they hold a spontaneous magnetization below the Curie temperature, and show no magnetic order (are paramagnetic) above this temperature.

The table on the right lists a selection of ferromagnetic and ferrimagnetic compounds, along with the temperature above which they cease to exhibit spontaneous magnetization (see Curie temperature).

In the experiment, the spontaneous magnetization was clearly observed in YBCO, which supported the d symmetry of the order parameter in YBCO.

Szegő's limit formula was proved in 1951 in response to a question raised by the work Lars Onsager and C. N. Yang on the calculation of the spontaneous magnetization for the Ising model.