Bose Glass & Superfluid-Insulator Transition

Bose-Hubbard Model

Bosons on a lattice compete between hopping (J) and on-site repulsion (U). Disorder (Δ) creates the Bose glass phase: localized, compressible, yet insulating — distinct from both superfluid and Mott insulator.

H = -J Σ(b†ᵢbⱼ) + U/2 Σnᵢ(nᵢ-1)
+ Σ εᵢnᵢ (εᵢ ∈ [-Δ,Δ])
SF: J>J_c(U,Δ)
BG: Δ>0, J

Parameters

Hopping J/U 0.3

Disorder Δ/U 0.5

Filling ⟨n⟩ 1.0

Lattice size L 20

Phase

Superfluid

0.00

SF density ρₛ

0.00

Compress. κ

0.00

Loc. length ξ

—

Gap status