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Phys. Rev. B 34, 1677–1682 (1986)

Correlation functions of the antiferromagnetic Heisenberg model using a modified Lanczos method

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Eduardo R. Gagliano
Centro Atómico Bariloche, Comisión Nacional de Energía Atómica e Instituto Balseiro, Universidad Nacional de Cuyo, 8400 San Carlos de Bariloche, Río Negro, Argentina

Elbio Dagotto and Adriana Moreo
Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801

Francisco C. Alcaraz
Departamento de Física da Universidade Federal de So Carlos, Caixa Postal 616, 13?0 So Carlos, So Paulo, Brazil

See Also: Erratum

Received 30 January 1986; published in the issue dated 1 August 1986

Using a modified Lanczos algorithm, we study the correlation functions in the ground state of the one-dimensional antiferromagnetic Heisenberg model. We obtain numerical results for rings up to 24 sites. There are no indications of the anomalous behavior of these correlation functions recently observed in chains with 16 sites. We also present a pedagogical description of the hashing technique which is an efficient algorithm for searching and storage purposes.

© 1986 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.34.1677
DOI:
10.1103/PhysRevB.34.1677
PACS:
71.10.+x, 71.30.+h

See Also

Erratum: Eduardo R. Gagliano, Elbio Dagotto, Adriana Moreo, and Francisco C. Alcaraz, Erratum: Correlation functions of the antiferromagnetic Heisenberg model using a modified Lanczos method, Phys. Rev. B 35, 5297 (1987).