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We investigate the specific heat and magnetisation of a ferrimagnet with gS=1and S=1/2 spins in a finite magnetic field using the transfer matrix DMRG downto T=0.025J. Ferromagnetic gapless and antiferromagnetic gapped excitations forH=0 lead to rich thermodynamics for H > 0. While the specific heat ischaracterized by a generic double peak structure, magnetisation reveals twocritical fields, Hc1=1.76(1) and Hc2=3.00(1) with square-root behaviour in theT=0 magnetisation. Simple analytical arguments allow to understand theseexperimentally accessible findings.Comment: 5 pages, 7 eps figures, uses RevTeX, submitted to PR

physical review. b, condensed matter

Thermodynamics of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:mfrac><mml:mo>)</mml:mo></mml:math>ferrimagnet in finite magnetic fields

Thermodynamics of the(1,12)ferrimagnet in finite magnetic fields