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.
(C3) The next coefficient ξ3 is then given by ξ3 = ∂ξ1 ∂µ = κ 2 ∂ns ∂n = κν 2
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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.