Publication

Density of states of random Schroedinger operators with a uniform magnetic field

Nicolas Macris
1992
Journal Articles

Abstract

We consider the density of states of Schr6dmger operators with a uniform magnetic field and a random potential with a Gaussian distribution. We show that the restriction to the states of the first Landau level is eqmvalent to a scaling hmit where one looks at the density of states near to the energy of the frst Landau level and simultaneously lets the strength of the coupling to the random potential go to zero. We also consider a different limit where we look at the suitably normalised density of states near to the energy of the first Landau level when the intensity of the magnetic field goes to mfimty.

Official source

https://infoscience.epfl.ch/entities/publication/1a052d19-13cb-43ab-b132-56326bff4585

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Nicolas Macris
1992
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/1a052d19-13cb-43ab-b132-56326bff4585

About this result

Related concepts (32)

Magnetic field

A magnetic field is a vector field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials. A moving charge in a magnetic field experiences a force perpendicular to its own velocity and to the magnetic field. A permanent magnet's magnetic field pulls on ferromagnetic materials such as iron, and attracts or repels other magnets.

Magnetic moment

In electromagnetism, the magnetic moment is the magnetic strength and orientation of a magnet or other object that produces a magnetic field. Examples of objects that have magnetic moments include loops of electric current (such as electromagnets), permanent magnets, elementary particles (such as electrons), composite particles (such as protons and neutrons), various molecules, and many astronomical objects (such as many planets, some moons, stars, etc).

Magnetic pressure

In physics, magnetic pressure is an energy density associated with a magnetic field. In SI units, the energy density of a magnetic field with strength can be expressed as where is the vacuum permeability. Any magnetic field has an associated magnetic pressure contained by the boundary conditions on the field. It is identical to any other physical pressure except that it is carried by the magnetic field rather than (in the case of a gas) by the kinetic energy of gas molecules.

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Density of states of random Schroedinger operators with a uniform magnetic field

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