Third-Order Magnetic Susceptibility of an Ideal Fermi Gas
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摘要:
At low temperature and under weak magnetic field,non-interacting Fermi gases reveal both Pauli paramagnetism and Landau diamagnetism,and the magnitude of the diamagnetic susceptibility is 1/3 of that of the paramagnetic one.When the temperature is finite and the magnetic field is also finite,we demonstrate that the paramagnetism and diamagnetism start to deviate from the ratio 1/3.For understanding the magnetic properties of an ideal Fermi gas at quite low temperature and under quite weak magnetic field,we work out explicitly the third-order magnetic susceptibility in three cases,from intrinsic spin,orbital motion and in total.An interesting property is in third-order magnetic susceptibifities:when viewing individually,they are both diamagnetic,but in total it is paramagnetic.