Frustrated Lattice
Thermodynamics
Temperature T/J:
1.0
Coupling J (AF=+1):
1
Grid size L:
24
MC steps/frame:
5
Reinitialize (random)
Cold start (all +1)
Hot start (random)
Measurements
Energy/site
—
Magnetization
—
Frustrated bonds
—
MCS steps
0
Accept rate
—
Antiferromagnet on triangular lattice:
Cannot 3-color edges consistently
S/k_B → (ln 2)/2 ≈ 0.3466
at T→0
Pauling estimate for residual entropy
T_c = 0 for true TLAF in 2D (Wannier 1950)
Open: long-range order exists?
Triangular Lattice (red=frustrated)
Energy vs Temperature
Frustration & Correlations