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We present high-resolution measurements of the $c^\star$-axis thermalexpansion and magnetostriction of piperidinium copper bromide \hp. Theexperimental data at low temperatures is well accounted for by a two-legspin-ladder Hamiltonian. The thermal expansion shows a complex behaviour withvarious sign changes and approaches a $1/\sqrt{T}$ divergence at the criticalfields. All low-temperature features are semi-quantitatively explained within afree fermion model; full quantitative agreement is obtained with Quantum MonteCarlo simulations.

Diverging thermal expansion of the spin-ladder system (C$_5$H$_{12}$N)$_2$CuBr$_4$