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Landau Diamagnetism. In this appendix we derive the expression for Landau diamagnetism of free electrons. Our approach will be to derive the result first for 2-from which we will easily be able to obtain the 3-result by integrating over . Firstly, we remind ourselves of some statistical mechanics.
Landau-Diamagnetismus, der Diamagnetismus eines entarteten Elektronengases ( Elektronengasmodell, klassisches ), der sich aus der Bahnbewegung der freien Elektronen ergibt. Der Effekt kann quantenmechanisch beschrieben werden ( Landau-Niveaus ). Die Suszeptibilität χ ist in erster Näherung.
In quantum mechanics, the energies of cyclotron orbits of charged particles in a uniform magnetic field are quantized to discrete values, called Landau levels. These levels are degenerate, with the number of electrons per level directly proportional to the strength of the applied magnetic field.
The theory that describes diamagnetism in a free electron gas is called Landau diamagnetism, named after Lev Landau, and instead considers the weak counteracting field that forms when the electrons' trajectories are curved due to the Lorentz force.
If an atom (ion) had filled shells, its core electrons exhibited a diamagnetism proportional to the sum of orbital radii. This result was obtained by Langevin in 1905, who treated the electron classically. He considered an electron as a point particle moving in a circular orbit.
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19. Apr. 2022 · The associated orbital contribution to the susceptibility of conduction electrons is called Landau diamagnetism, χ L. In a free electron model, the Landau diamagnetic response is precisely one...
In this chapter, following [220], we use coherent states to obtain Landau diamagnetism [221]for a free electron gas.
