Finite-size scaling for the S=1/2 Heisenberg Antiferromagnetic Chain

Abstract

Corrections to the asymptotic correlation function in a Heisenberg spin-1/2 antiferromagnetic spin chain are known to vanish slowly (logarithmically) as a function of the distance r or the chain size L. This leads to significant differences with numerical results. We calculate the sub-leading logarithmic corrections to the finite-size correlation function, using renormalization group improved perturbation theory, and compare the result with numerical data.

7 pages Revtex, 3 figures

References in corpus (2)

• Low energy effective Hamiltonian for the XXZ spin chain
• Exact Correlation Amplitude for the S=1/2 Heisenberg Antiferromagnetic Chain

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