TY - JOUR
T1 - A Numerical Study of Spin-1/2 Alternating Antiferromagnetic Heisenberg Linear Chains
AU - Okamoto, Kiyomi
AU - Nishimori, Hidetoshi
AU - Taguchi, Yoshihiro
N1 - Copyright:
Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1986/5
Y1 - 1986/5
N2 - 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.
AB - 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.
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U2 - 10.1143/JPSJ.55.1458
DO - 10.1143/JPSJ.55.1458
M3 - Article
AN - SCOPUS:0037854212
VL - 55
SP - 1458
EP - 1465
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
SN - 0031-9015
IS - 5
ER -