Frustrated Lattices - The Big Four

4 Ground States of Frustrated Systems Consequences of Macroscopic Degeneracy 

As already mentioned, frustrated magnets appear to defy the Third Law in that, often, a long range ordered magnetic ground state is not stable but 

Detailed theory in the form of MFT and computations using Monte Carlo simulations have shown for the pyrochlore lattice 

A brief description of some of these states will now be presented. 

RVB picture, is that overall, a spin singlet ground state will result. As well, another characteristic is the presence of significant spin dynamics down to the lowest temperatures. There are relatively few accepted examples of the spin liquid state, the pyrochlore oxide Tb2Ti20y being one.  

---