S D Mahanti and Sudhanshu S Jha 2006 J. Phys. A: Math. Gen. 39 1239 doi:10.1088/0305-4470/39/6/002
S D Mahanti1 and Sudhanshu S Jha2
Show affiliationsWe consider the ground state of a system of chargeless fermions, such as neutrinos, of mass m and magnetic moment μ interacting through long-range magnetic dipole interaction, within the framework of a Hartree–Fock variational approach. At high densities the uniform paramagnetic state becomes unstable towards a ferromagnetic state with quadrupolar deformation of the Fermi surface. The exchange energy which is attractive dominates the repulsive kinetic energy. If we let the density be a variable, then above a certain density the system will collapse to an infinite density state unless another short-range interaction stops the collapse. In the case of large deformations, the possibility of a purely dipolar deformation exists.
75.30.Cr Saturation moments and magnetic susceptibilities
71.18.+y Fermi surface: calculations and measurements; effective mass, g factor
73.20.At Surface states, band structure, electron density of states
Issue 6 (10 February 2006)
Received 27 August 2005, in final form 24 November 2005
Published 25 January 2006
S D Mahanti and Sudhanshu S Jha 2006 J. Phys. A: Math. Gen. 39 1239
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