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We use quantum Monte Carlo (stochastic series expansion) and finite-sizescaling to study the quantum critical points of two S=1/2 Heisenbergantiferromagnets in two dimensions: a bilayer and a Kondo-lattice-like system(incomplete bilayer), each with intra- and inter-plane couplings J and J_perp.We discuss the ground-state finite-size scaling properties of three differentquantities--the Binder moment ratio, the spin stiffness, and thelong-wavelength magnetic susceptibility--which we use to extract the criticalvalue of the coupling ratio g=J_perp/J. The individual estimates of g_c areconsistent provided that subleading finite-size corrections are properly takeninto account. In the case of the complete bilayer, the Binder ratio leads tothe most precise estimate of the critical coupling, although the subleadingfinite-size corrections to the stiffness are considerably smaller. For theincomplete bilayer, the subleading corrections to the stiffness are extremelysmall, and this quantity then gives the best estimate of the critical point.Contrary to predictions, we do not find a universal prefactor of the 1/L spinstiffness scaling at the critical point, whereas the Binder ratio is consistentwith a universal value. Our results for the critical coupling ratios areg_c=2.52181(3) (full bilayer) and g_c=1.38882(2) (incomplete bilayer), whichrepresent improvements of two orders of magnitude relative to the previous bestestimates. For the correlation length exponent we obtain nu = 0.7106(9),consistent with the expected 3D Heisenberg universality class.Comment: 10 pages, 10 figure

physical review. b, condensed matter and materials physics

High-precision finite-size scaling analysis of the quantum-critical point of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo>∕</mml:mo><mml:mn>2</mml:mn></mml:mrow></mml:math>Heisenberg antiferromagnetic bilayers

High-precision finite-size scaling analysis of the quantum-critical point ofS=1∕2Heisenberg antiferromagnetic bilayers