Topological Defects — 2D XY Model
Vortex/anti-vortex pairs and the BKT transition
Temperature T:
0.50
Grid:
40
Randomize
Pause
Detect Defects
Vortex (+1)
Anti-vortex (−1)
Defects: 0
BKT T_c ≈ 0.89
XY model: H = −J Σ cos(θᵢ − θⱼ). BKT transition: vortex unbinding at T_BKT ≈ 0.89J/k_B