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THE 2D HEISENBERG ANTIFERROMAGNET IN HIGH-TcSUPERCONDUCTIVITY: A Review of Numerical Techniques and Results

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  • T. BARNES

    (Physics Division and Center for Computationally Intensive Physica, Oak Ridge National Laboratory, Oak Ridge, TN 37831–6373, USA;
    Department of Physics, University of Tennessee, Knoxville, TN 37996–1200, USA)

Abstract

In this article we review numerical studies of the quantum Heisenberg antiferromagnet on a square lattice, which is a model of the magnetic properties of the undoped “precursor insulators” of the high temperature superconductors. We begin with a brief pedagogical introduction and then discuss zero and nonzero temperature properties and compare the numerical results to analytical calculations and to experiment where appropriate. We also review the various algorithms used to obtain these results, and discuss algorithm developments and improvements in computer technology which would be most useful for future numerical work in this area. Finally we list several outstanding problems which may merit further investigation.

Suggested Citation

  • T. Barnes, 1991. "THE 2D HEISENBERG ANTIFERROMAGNET IN HIGH-TcSUPERCONDUCTIVITY: A Review of Numerical Techniques and Results," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 2(02), pages 659-709.
    • Handle: RePEc:wsi:ijmpcx:v:02:y:1991:i:02:n:s0129183191000949
    DOI: 10.1142/S0129183191000949
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