A Numerical Study of Spin-1/2 Alternating Antiferromagnetic Heisenberg Linear Chains

Kiyomi Okamoto, Hidetoshi Nishimori, Yoshihiro Taguchi

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34 Citations (Scopus)

Abstract

We numerically caculate the exact ground state energy E0(N, δ) and the first excited state energy E1(N, δ) of the one-dimensional spin-½ alternating antiferromagnetic Heisenberg model [formula omitted] for N=8, 10, ⋯, 20 with N being the number of spins. We employ the finite-size scaling method to determine the critical exponents a, b and v of the energy gain by alternation, the energy gap and the correlation length as defined by [formula omitted] and ξ ∼ −v (ξ is the correlation length), respectively. The estimated values are a=1.37±0.09, b=0.79±0.06, v=0.75±0.06. We also analytically calculate ξ and v by the use of the phase Hamiltonian method for comparison with our numerical result.

Original languageEnglish
Pages (from-to)1458-1465
Number of pages8
Journaljournal of the physical society of japan
Volume55
Issue number5
DOIs
Publication statusPublished - 1986 May

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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