Quantum two-dimensional Heisenberg antiferromagnet: Bridging the gap between field-theoretical and semiclassical approaches

Bernard B. Beard, Alessandro Cuccoli, Ruggero Vaia, and Paola Verrucchi
Phys. Rev. B 68, 104406 – Published 5 September 2003
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Abstract

The field-theoretical result for the low-T behavior of the correlation length of the quantum Heisenberg antiferromagnet on the square lattice was recently improved by Hasenfratz [Eur. Phys. J. B 13, 11 (2000)], who corrected for cutoff effects. We show that starting from his expression, and exploiting our knowledge of the classical thermodynamics of the model, it is possible to take into account non-linear effects which are responsible for the main features of the correlation length at intermediate temperature. Moreover, we find that cutoff effects lead to the appearance of an effective exchange integral depending on the very same renormalization coefficients derived in the framework of the semiclassical pure-quantum self-consistent harmonic approximation: The gap between quantum field-theoretical and semiclassical results here is eventually bridged.

  • Received 4 June 2003

DOI:https://doi.org/10.1103/PhysRevB.68.104406

©2003 American Physical Society

Authors & Affiliations

Bernard B. Beard1, Alessandro Cuccoli2,3, Ruggero Vaia4,3, and Paola Verrucchi2,3

  • 1Departments of Physics and Mechanical Engineering of the Christian Brothers University, Memphis, Tennessee 38104, USA
  • 2Dipartimento di Fisica dell’Università di Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino (FI), Italy
  • 3Istituto Nazionale per la Fisica della Materia, U.d.R. Firenze, via G. Sansone 1, I-50019 Sesto Fiorentino (FI), Italy
  • 4Istituto di Fisica Applicata “Nello Carrara” del Consiglio Nazionale delle Ricerche, via Panciatichi 56/30, I-50127 Firenze, Italy

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Issue

Vol. 68, Iss. 10 — 1 September 2003

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