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Quantum Nonlinear Sigma Model for Arbitrary Spin Heisenberg Antiferromagnets

Strongly Correlated Electrons 2009-11-11 v2 Other Condensed Matter High Energy Physics - Theory

Abstract

In this Letter, we derive a quantum nonlinear sigma model (QNLSM) for quantum Heisenberg antiferromagnets (QHA) with arbitrary S (spin) values. A upper limit of the low temperature is naturally carried out for the reliability of the QNLSM. The S dependence of the effective coupling constant and the spin wave velocity in the QNLSM are also obtained explicitly. The resulting spin wave velocity for 2-dim spin-1/2 QHA highly concurs with the experimental data of high TcT_c compound La2CuO4. The predicted correlation lengths for 2d QHA and spin-gap magnitudes for 1d QHA also agrees with the accurate numerical results.

Keywords

Cite

@article{arxiv.cond-mat/0509628,
  title  = {Quantum Nonlinear Sigma Model for Arbitrary Spin Heisenberg Antiferromagnets},
  author = {Jianhui Dai and Wei-Min Zhang},
  journal= {arXiv preprint arXiv:cond-mat/0509628},
  year   = {2009}
}

Comments

4 pages, 1 figure, minor revision of the text

R2 v1 2026-07-22T11:23:08.959Z