2026-03-12T16:53:12Z https://repo.qst.go.jp/oai

oai:repo.qst.go.jp:00086263 2023-05-15T17:05:40Z 1

The Haldane Gap of the S = 1 Heisenberg Antiferromagnetic Chain Nakano, Hiroki Tadano, Hiroto Todoroki, Norikazu Toru, Sakai Toru, Sakai metadata only access The one-dimensional Heisenberg antiferromagnet of S = 1 spins is studied by numerical diagonalization method based on the Lanczos algorithm. The Haldane gap of this system is numerically estimated from finite-size clusters under the twisted boundary condition up to the 30-site system. The finite-size results are analyzed by a convergence-acceleration technique; the multistep procedure of the convergence acceleration is successfully carried out. The present estimate for the gap magnitude is more precisely than the previously reported value from a Lanczos-diagonalization study. It also agrees well with the result reported in a study based on the density matrix renormalization group calculation. The present study clarifies that Lanczos-diagonalization calculations can sufficiently contribute for precisely estimating an energy gap although this method can treat only small clusters. 2022-06 eng journal article https://repo.qst.go.jp/records/86263 10.7566/JPSJ.91.074701 https://journals.jps.jp/doi/10.7566/JPSJ.91.074701 0031-9015 Journal of the Physical Society of Japan 91 074701-1 074701-5