Hubbard Model — Mott Insulator Transition
Metal-insulator phase diagram: hopping t, interaction U, filling n
Parameters
Interaction U/t:
4.0
Hopping t (bandwidth):
1.0
Temperature T/t:
0.2
Filling n:
1.00
Physics
H = -t Σ c†ᵢσcⱼσ + U Σ nᵢ↑nᵢ↓ - μ Σ nᵢ
Mott gap: Δ ≈ U - W (W=bandwidth)
U_c ≈ W ≈ 2zt (z=coordination)
Half-filling: metal if U < U_c(T)
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