I Effect of Homog./Non-Homog. Magnetic Field in Heisenberg Spin System

[Noora Alameri]

Hey,

I have a simple question: What is the effect of the homogeneous and non-homogeneous static magnetic field in the Heisenberg spin system? Like what is so difference between the homogeneous and non-homogeneous magnetic field and what is the effects of the two cases in the spin system described by Heisenberg model.

Thank You

 

[azntoon]

.The effect of a homogeneous static magnetic field on the Heisenberg spin system is to add an energy contribution to the system that is proportional to the size of the external field. This energy contribution is known as the Zeeman energy and it shifts the energy spectrum of the spins in the direction of the external field. This shift can cause changes in the magnetization and other properties of the spin system.On the other hand, a non-homogeneous static magnetic field will have a more complex effect on the Heisenberg spin system. Since the field is no longer uniform, the Zeeman energy contribution of each spin will vary depending on its position, leading to inhomogeneous energy shifts in the spin system. The resulting effects can include the emergence of spin domains, enhanced spin-spin correlations, and other interesting phenomena.