A Magnetic response of a degenerate Fermi gas

[ChinoSupay]

I know that in a Fermi gas, the two common responses to a lo field are Pauli par. and Landau dia. and the last becomes the H-VA effect

My question is, it is the same treatment in degenerated Fermi Gas?

 

[Lord Jestocost]

One speaks of a “degenerate” Fermi gas in case its temperature T is much lower than its Fermi temperature T_F: T << T_F = ε_F/k_B where k_B is the Boltzmann constant and ε_F the Fermi energy at T = 0. What is termed “Pauli paramagnetism” for the behavior of conduction electrons in metals when subjected to a magnetic field is derived on base of the assumption that there is a degenerate Fermi gas.

 

[ChinoSupay]

And what happens with landau diamagnetism? Because it comes by the movement of delocalized electrons

 

[Lord Jestocost]

Charged particles couple to a magnetic field via their charge, leading to a diamagnetic contribution to the magnetic susceptibility. At low temperatures (degenerate case), this effect in a free electron gas is known as Landau diamagnetism.