Low-temperature depletion of superfluid density in d-dimensional quantum superfluids maps to finite-size corrections in a (d+1)-dimensional anisotropic classical field system, producing universal T^{d+1} scaling for many thermodynamic quantities and generalizing Landau's formula.
Here we have ∆ B∥ = ∆B⊥, and from (15) and (23) we immediately see that S∥(λ = 1) = − 1 dc (30) and ∆Λs(L) = −(1 + 2/dc)θ ΛsLdc
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"Depletion" of Superfluid Density: Universal Low-temperature Thermodynamics of Superfluids
Low-temperature depletion of superfluid density in d-dimensional quantum superfluids maps to finite-size corrections in a (d+1)-dimensional anisotropic classical field system, producing universal T^{d+1} scaling for many thermodynamic quantities and generalizing Landau's formula.