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We investigate the critical behavior of the S=1/2 alternating Heisenbergchain using the density matrix renormalization group (DMRG). The ground-stateenergy per spin and singlet-triplet energy gap are determined for a range ofalternations. Our results for the approach of the ground-state energy to theuniform chain limit are well described by a power law with exponent p=1.45. Thesinglet-triplet gap is also well described by a power law, with a criticalexponent of p=0.73, half of the ground-state energy exponent. Therenormalization group predictions of power laws with logarithmic correctionscan also accurately describe our data provided that a surprisingly large scaleparameter is present in the logarithm.Comment: 6 pages, 4 eps-figure

physical review. b, condensed matter

Density matrix renormalization group study of critical behavior of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="normal">s</mml:mi><mml:mi mathvariant="normal">p</mml:mi><mml:mi mathvariant="normal">i</mml:mi><mml:mi mathvariant="normal">n</mml:mi><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:math>alternating Heisenberg chain

Density matrix renormalization group study of critical behavior of thespin−12alternating Heisenberg chain