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DMRG Study of Critical Behavior of the Spin-1/2 Alternating Heisenberg Chain | | T. Papenbrock
; T. Barnes
; D. J. Dean
; M. V. Stoitsov
; M. R. Strayer
; | | Date: |
11 Dec 2002 | | Journal: | Phys. Rev. B 68, 024416 (2003) DOI: 10.1103/PhysRevB.68.024416 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Abstract: | 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. | | Source: | arXiv, cond-mat/0212254 | | Services: | Forum | Review | PDF | Favorites | |
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