New State of Ferromagnetism in Degenerate Electron Gas and Magnetic Fields in Collapsed Bodies

Abstract

A new state of "ferro" magnetism in a degenerate electron gas is found and shown to be stable. This magnetism is the sum of all microscopic magnetic moments associated with electrons in their respective Landau levels while the Landau levels of the system are in turn maintained by this macroscopic magnetization. The maximum field in the Landau orbital ferromagnetism state is ${10}^{7}$ G for white-dwarf densities and ${10}^{12}$ G for neutron-star densities.