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We investigate the thermodynamic properties of the frustrated bilayer quantumHeisenberg antiferromagnet at low temperatures in the vicinity of thesaturation magnetic field. The low-energy degrees of freedom of the spin modelare mapped onto a hard-square gas on a square lattice. We use exactdiagonalization data for finite spin systems to check the validity of such adescription. Using a classical Monte Carlo method we give a quantitativedescription of the thermodynamics of the spin model at low temperatures aroundthe saturation field. The main peculiarity of the considered two-dimensionalHeisenberg antiferromagnet is related to a phase transition of the hard-squaremodel on the square lattice, which belongs to the two-dimensional Ising modeluniversality class. It manifests itself in a logarithmic (low-)temperaturesingularity of the specific heat of the spin system observed for magneticfields just below the saturation field

Finite-temperature order-disorder phase transition in a frustrated bilayer quantum Heisenberg antiferromagnet in strong magnetic fields