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Phys. Rev. B 47, 12333–12336 (1993)

Correlation functions in periodic chains

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A. W. Sandvik and D. J. Scalapino
Department of Physics, University of California, Santa Barbara, California 93106

Received 15 January 1993; published in the issue dated 1 May 1993

We present a simple form for the relation between correlation functions on finite periodic one-dimensional systems and the correlation function of the corresponding infinite system. This form is tested on the S=1/2 and S=1 Heisenberg models. We find good agreement with quantum Monte Carlo results for the spin correlation functions. For S=1/2 our results are consistent with the asymptotic form C(r)∼ln(r)σ/r with σ=1/2.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.47.12333
DOI:
10.1103/PhysRevB.47.12333
PACS:
75.10.Jm, 75.40.Cx, 75.40.Mg