@article{oai:repo.qst.go.jp:00079102,
 author = {Nakano, Hiroki and Todoroki, N. and Sakai, Toru and Toru, Sakai},
 issue = {10},
 journal = {Journal of the Physical Society of Japan},
 month = {Oct},
 note = {The one-dimensional Heisenberg antiferromagnets of large-integer-S spins are studied; their Haldane gaps are estimated by the numerical diagonalization method for S = 5 and 6. We successfully obtain a monotonically increasing sequence of finite-size energy difference data corresponding to the Haldane gaps from the huge-scale parallel calculations of diagonalization under the twisted boundary condition and create a monotonically decreasing sequence within the range of system sizes treated in this study from the monotonically increasing sequence. Consequently, the gaps for S = 5 and 6 are estimated to be 0.000050 ± 0.000005 and 0.0000030 ± 0.0000005, respectively. The asymptotic formula of the Haldane gap for S → ∞ is examined from the new estimates to determine the coefficient in the formula more precisely.},
 pages = {114702-1--114702-4},
 title = {Haldane Gaps of Large-S Heisenberg Antiferromagnetic Chains and Asymptotic Behavior},
 volume = {88},
 year = {2019}
}