Quantum Antiferromagnets: Continuum Results

  • Assa Auerbach
Part of the Graduate Texts in Contemporary Physics book series (GTCP)


In Chapter 12, we have used Haldane’s mapping to relate the long-wavelength correlations of the quantum Heisenberg antiferromagnet (QHA) in d dimensions to those of the Nonlinear Sigma Model (NLSM) in d+1 dimensions with additional Berry phases. In Chapters 13 and 14, the correlation length ξ for the NLSM was found for d=1,2,3 using the continuum approximation.




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  1. R. Shankar and N. Read, Nucl. Phys. B 336, 457 (1990).ADSCrossRefGoogle Scholar
  2. I. Affleck, J. Phys. Condensed Matter 1, 3047 (1989).ADSCrossRefGoogle Scholar
  3. E.J. Neves and J.F. Perez, Phys. Lett. A 114, 331 (1986).ADSCrossRefGoogle Scholar
  4. S. Chakravarty, B.I. Halperin, and D. Nelson, Phys. Rev. B 39, 2344 (1989).ADSCrossRefGoogle Scholar
  5. S. Chakravarty, “High Temperature Superconductivity”, edited by K.S. Bedell, D. Coffey, D.E. Meltzer, D. Pines, and J.R. Schrieffer (Addison-Wesley, 1990)Google Scholar
  6. E. Manousakis, Rev. Mod. Phys. 63, 1 (1991).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Assa Auerbach
    • 1
  1. 1.Technion Department of PhysicsIsrael Institute of TechnologyHaifaIsrael

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