Lorentz covariance and the crossover of two-dimensional antiferromagnets

P. R. Crompton
Phys. Rev. B 75, 174520 – Published 22 May 2007

Abstract

We derive a lattice β function for the two-dimensional antiferromagnetic Heisenberg model, which allows the lattice interaction couplings of the nonperturbative quantum Monte Carlo vacuum to be related directly to the zero-temperature fixed points of the nonlinear sigma model in the presence of strong interplanar and spin anisotropies. In addition to the usual renormalization of the gapful disordered state in the vicinity of the quantum critical point, we show that this leads to a chiral doubling of the spectra of excited states.

  • Received 23 November 2006

DOI:https://doi.org/10.1103/PhysRevB.75.174520

©2007 American Physical Society

Authors & Affiliations

P. R. Crompton

  • Institut für Theoretische Physik I., Universität Hamburg, D-20355 Hamburg, Germany and Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

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Vol. 75, Iss. 17 — 1 May 2007

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