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An important effect in metals under strong magnetic fields, is the oscillation of the differential susceptibility as function of 1 / H . This behaviour is known as the De Haas–Van Alphen effect and relates the period of the susceptibility with the Fermi surface of the material.
Historically, the first and most studied example of this effect is the linear magnetoelectric effect.Mathematically, while the electric susceptibility and magnetic susceptibility describe the electric and magnetic polarization responses to an electric, resp. a magnetic field, there is also the possibility of a magnetoelectric susceptibility which describes a linear response of the electric ...
where χ is called the volume magnetic susceptibility, and μ is called the magnetic permeability of the material. The magnetic potential energy per unit volume (i.e. magnetic energy density) of the paramagnet (or diamagnet) in the magnetic field is:
In physics, multiple types of material magnetism have been distinguished. Ferromagnetism (along with the similar effect ferrimagnetism) is the strongest type and is responsible for the common phenomenon of everyday magnetism. [1] An example of a permanent magnet formed from a ferromagnetic material is a refrigerator magnet. [2]
The magnetic response calculated for a gas of electrons is not the full picture as the magnetic susceptibility coming from the ions has to be included. Additionally, these formulas may break down for confined systems that differ from the bulk, like quantum dots, or for high fields, as demonstrated in the De Haas-Van Alphen effect.
The magnetic moments being aligned in the same direction are what causes an induced magnetic field. [12] [13] For paramagnetism, this response to an applied magnetic field is positive and is known as magnetic susceptibility. [8] The magnetic susceptibility only applies above the Curie temperature for disordered states. [14]
Paramagnetic materials are attracted to magnetic fields, hence have a relative magnetic permeability greater than one (or, equivalently, a positive magnetic susceptibility). The magnetic moment induced by the applied field is linear in the field strength, and it is rather weak. It typically requires a sensitive analytical balance to detect the ...
In physics, the susceptibility of a material or substance describes its response to an applied field. For example: Magnetic susceptibility; Electric susceptibility; The two types of susceptibility above are examples of a linear response function; sometimes the terms susceptibility and linear response function are used interchangeably.