S=1/2 alternating chain using multiprecision methods

被引:123
作者
Barnes, T [1 ]
Riera, J
Tennant, DA
机构
[1] Oak Ridge Natl Lab, Div Phys, Oak Ridge, TN 37831 USA
[2] Univ Tennessee, Dept Phys & Astron, Knoxville, TN 37996 USA
[3] Inst Fis Rosario, RA-2000 Rosario, Santa Fe, Argentina
[4] Oak Ridge Natl Lab, Div Solid State, Oak Ridge, TN 37831 USA
来源
PHYSICAL REVIEW B | 1999年 / 59卷 / 17期
关键词
D O I
10.1103/PhysRevB.59.11384
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper we present results for the ground state and low-lying excitations of the S=1/2 alternating Heisenberg antiferromagnetic chain. Our more conventional techniques include perturbation theory about the dimer limit and numerical diagonalization of systems of up to 28 spins. An application of multiple precision numerical diagonalization allows us to determine analytical perturbation series to high order; the results found using this approach include ninth-order perturbation series for the ground state energy and one magnon gap. We also determine the fifth-order dispersion relation and third-order exclusive neutron scattering structure factor for one-magnon modes and numerical and analytical binding energies of S=0 and S=1 two-magnon bound states. [S0163-1829(99)02917-3].
引用
收藏
页码:11384 / 11397
页数:14
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