We have calculated the spin-spin correlations in the ground state of spin-1/2, one-dimensional, antiferromagnetic Heisenberg chain numerically. Using improved algorithms, we have been able to perform exact diagonalizations for lattices up to 30 sites and quantum Monte Carlo simulations for lattices up to 512 sites. This extensive range allows us to investigate the logarithmic dependence of spin-spin correlations. We present our results and discuss their implications.

Journal of Applied PhysicsApr 15, 199120 citations

Applied Numerical Mathematics

Numerical algorithm for the calculation of the ground states in the UqSU(2) symmetric spin- Heisenberg chain

Matteo Beccaria A

Published May 1, 2002• 0 citations

Publisher

DOI: 10.1016/s0168-9274(01)00100-3

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Ground-state magnetization curves of ferrimagnetic Heisenberg chains of alternating spins S and s are numerically investigated. Calculating several cases of

(S,s),

we conclude that the spin-

(S,s)

chain generally exhibits

2s

magnetization plateaus even at the most symmetric point. In the double- or more-plateau structure, the initial plateau is generated on a classical basis, whereas the higher ones are based on a quantum mechanism.