Precise estimation of the S = 2 Haldane gap by numerical diagonalization

Abstract

The Haldane gap of the S=2 Heisenberg antiferromagnet in a one-dimensional linear chain is examined by a numerical-diagonalization method. A precise estimate for the magnitude of the gap is successfully obtained by a multistep convergence-acceleration procedure applied to finite-size diagonalization data under the twisted boundary condition.

6 pages, 1 Table, to be published in J. Phys. Soc. Jpn

References in corpus (6)

• Numerical-Diagonalization Study of Spin Gap Issue of the Kagome Lattice Heisenberg Antiferromagnet
• Anomalous Behavior of the Magnetization Process of the S = 1/2 Kagome-Lattice Heisenberg Antiferromagnet at One-Third Height of the Saturation
• Magnetization Process of the Spin-S Kagome-Lattice Heisenberg Antiferromagnet
• Long-Range Order of the Three-Sublattice Structure in the S = 1 Heisenberg Antiferromagnet on a Spatially Anisotropic Triangular Lattice
• Ferrimagnetism in the Spin-1/2 Heisenberg Antiferromagnet on a Distorted Triangular Lattice
• Magnetization Process of the Spin-1/2 Triangular-Lattice Heisenberg Antiferromagnet with Next-Nearest-Neighbor Interactions -- Plateau or Nonplateau

Cited by in corpus (8)

• Third boundary of the Shastry-Sutherland Model by Numerical Diagonalization
• From kagome strip to kagome lattice: Realizations of frustrated S=1/2 antiferromagnets in Ti(III) fluorides
• Parallel loop cluster quantum Monte Carlo simulation of quantum magnets based on global union-find graph algorithm
• Haldane Gaps of Large-S Heisenberg Antiferromagnetic Chains and Asymptotic Behavior
• Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice
• Plateau transitions of spin pump and bulk-edge correspondence
• Magnetization plateau of the $S=2$ antiferromagnetic Heisenberg chain with anisotropies
• Numerical Diagonalization Study of the Phase Boundaries of the S=2 Heisenberg Antiferromagnet on the Orthogonal Dimer Lattice