THE WAVEVECTOR DEPENDENT SPIN SUSCEPTIBILITY OF AN INTERACTING ELECTRON GAS.
MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF ELECTRICAL ENGINEERING
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The wavevector dependent spin susceptibility of an electron gas, which is relxavent to the stability of the paramagnetic state and to indirect exchange effects was studied. The theory of the susceptibility is derived in the linearized Hartree-Fock approximation, and this simple theory is used to investigate the susceptibility of a Fermion system with statically screened interactions for a wide range of screening lengths and densities. An effective Hamiltonian formulation is derived to deal with the dynamic screening effects of electron correlations. The selfenergy of the dressed electron states described by this Hamiltonian is evaluated in the vicinity of the Fermi surface. The theory of the susceptibility including correlation effects is derived, and the susceptibility functions are calculated for the electron gas at a number of densities in the metallic region and one in the high density region. It is found that the electron correlations remove the instability of the paramagnetic state relative to infinitesimal antiferromagnetic deformations found by Overhauser in the Hartree-Fock approximation. Author