Can Geometrical Frustration be Relieved in Heisenberg Spins?

[samriti]

In magnetism, the antiferromagnetic interaction between ising spin on a regular triangle is the simplest example of geometrical frustration. Is it possible that this frustration relieved for Heisenberg spins??

 

[M Quack]

No. Even for Heisenberg spins the lattice is still frustrated.

In order to remove the frustration you have to distort the lattice (i.e. introduce a difference in the coupling paramters) or introduce interactions with second or third neighbors (can't remember the details, sorry).