What is a frustrated system?

1. May 5, 2008

mkrems

this term is often used when discussing spin glasses, etc.

2. May 5, 2008

Gokul43201

Staff Emeritus
Frustration is typically the result of having a highly degenerate ground state. Consider a system of 3 spin-1/2 particles on the vertices of a triangle, with a pairwise anti-ferromagnetic interaction. This system has a triply degenerate ground state (1u 2u 3d or 1u 2d 3u or 1d 2u 3u) and is thus said to be frustrated. The concept can be extended from there to a triangular lattice, or a cubic lattice with different interactions and further to disordered, amorphous materials. A spin glass is a frustrated spin system that exhibits the weird, long-time dynamics of glassy systems.