DMRG Study of Critical Behavior of the Spin-1/2 Alternating Heisenberg Chain

Details DMRG Study of Critical Behavior of the Spin-1/2 Alternating Heisenberg Chain DMRG Study of Critical Behavior of the Spin-1/2 Alternating Heisenberg Chain

2002-12-11

arxiv.org/abs/cond-mat/0212254v1

Phys. Rev. B 68, 024416 (2003)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 eps-figures

Scientific paper

10.1103/PhysRevB.68.024416

We investigate the critical behavior of the S=1/2 alternating Heisenberg chain using the density matrix renormalization group (DMRG). The ground-state energy per spin and singlet-triplet energy gap are determined for a range of alternations. Our results for the approach of the ground-state energy to the uniform chain limit are well described by a power law with exponent p=1.45. The singlet-triplet gap is also well described by a power law, with a critical exponent of p=0.73, half of the ground-state energy exponent. The renormalization group predictions of power laws with logarithmic corrections can also accurately describe our data provided that a surprisingly large scale parameter is present in the logarithm.

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