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We analyze the logarithmic corrections due to ferromagnetic impurity endingbonds of open spin 1/2 antiferromagnetic chains, using the density matrixrenormalization group technique. A universal finite size scaling $\sim {\frac 1{L \log L}}$ for impurity contributions in the quasi-degenerate ground stateenergy is demonstrated for a zigzag spin 1/2 chain at the critical next nearestneighbor coupling and the standard Heisenberg spin 1/2 chain, in the long chainlimit. Using an exact solution for the latter case it is argued that one canextract the impurity contributions to the entropy and specific heat from thescaling analysis. It is also shown that a pure spin 3/2 open Heisenberg chainbelongs to the same universality class.Comment: 4 pages, 7 eps figure

physical review. b, condensed matter

Logarithmic corrections to the ground-state energy of finite<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>antiferromagnetic chains due to ferromagnetic end bonds

Logarithmic corrections to the ground-state energy of finitespin−12antiferromagnetic chains due to ferromagnetic end bonds