Frustrated Magnetism: Triangular & Kagome Lattice

Geometric frustration: antiferromagnetic spins on triangular plaquettes cannot all satisfy bond constraints simultaneously.

Triangular
Kagome
Temperature 0.30
J (exchange) -1.0
Field h 0.00
On triangular/kagome lattices with AFM interactions (J<0), each triangle has at least one frustrated bond. The ground state is massively degenerate — extensive entropy even at T=0 (spin liquid behavior for kagome).