Frustrated Antiferromagnet
Triangular & kagome lattice — geometric frustration & ground state degeneracy
Lattice & Model
Lattice type:
Triangular
Kagome
Temperature T:
0.50
J₂/J₁ ratio:
0.00
Random State
Run MC Steps
Observables
Energy/site:
—
Magnetization:
—
Frustration F:
—
MC steps:
0
Key Physics
H = J Σ⟨ij⟩ Sᵢ·Sⱼ (J>0, AFM)
Triangular: cannot satisfy all bonds → macroscopic GS degeneracy
Kagome: flat band, W = exp(L/3) ground states
Order-by-disorder: thermal/quantum fluctuations select √3×√3