Spin Glass State, Gaussian Distribution, the Stability Magnetic Field and the Fibre Bundle Approach

Abstract

The fibre bundle approach has been applied to the unified description of the magnetic symmetries of different magnetic structures. In the particular case of the spin glass state the global magnetic coupling constant has been interpreted as a section of the corresponding fibre bundle. The fibre of this bundle makes the space of the Gaussian distributions. Thus one can say that the randomness of the spatial distribution of the magnetic moments in the spin glass state is of the Gaussian-like character.

Keywords:

• Fibre bundle approach
• Gaussian distribution
• global magnetic coupling constant
• Lyapunov theorem
• spin glass state
• stability magnetic field