Finite-lattice extrapolations for a Haldane-gap antiferromagnet
- 1 August 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 50 (5) , 3037-3044
- https://doi.org/10.1103/physrevb.50.3037
Abstract
We present results of exact diagonalization of the isotropic antiferromagnetic S=1 Heisenberg chain by the Lanczos method, for finite rings of up to N=22 sites. The Haldane gap G(N) and the ground-state energy per site e(N) converge, with increasing N, faster than a power law. By VBS and Shanks transformations, the extrapolated values are G(∞)=0.41049(2) and e(∞)=-1.401485(2). The spin-spin correlation function is well fit by exp(-r/ξ)/ √r with ξ=6.2.Keywords
All Related Versions
This publication has 38 references indexed in Scilit:
- Continuum dynamics of the 1-D Heisenberg antiferromagnet: Identification with the O(3) nonlinear sigma modelPublished by Elsevier ,2002
- Exact diagonalization of quantum-spin modelsPhysical Review B, 1990
- Ground-state properties of Heisenberg spin chainsPhysical Review B, 1987
- Presumption for a Quantum Energy Gap in the Quasi-One-Dimensional S = 1 Heisenberg Antiferromagnet Ni(C 2 H 8 N 2 ) 2 NO 2 (ClO 4 )Europhysics Letters, 1987
- Spin chains in a field: Crossover from quantum to classical behaviorPhysical Review B, 1985
- Critical properties of the spin-1 Heisenberg chain with uniaxial anisotropyPhysical Review B, 1984
- Finite-size-scaling study of the spin-1 Heisenberg-Ising chain with uniaxial anisotropyPhysical Review B, 1983
- Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel StatePhysical Review Letters, 1983
- Ground-state properties of a spin-1 antiferromagnetic chainPhysical Review B, 1983
- Specific heat of one-dimensional S = 1 systemPhysics Letters A, 1974