Derivation of the generalized Non Linear Sigma Model in the presence of the Dzyaloshinskii-Moriya interaction
L. Benfatto, M. Silva Neto, V. Juricic, C. Morais Smith

TL;DR
This paper derives a generalized non-linear sigma model for a 2D Heisenberg system with Dzyaloshinskii-Moriya interactions, revealing unconventional magnetic behavior and matching experimental observations in La2CuO4.
Contribution
It introduces a new long-wavelength non-linear sigma model accounting for Dzyaloshinskii-Moriya interactions in 2D antiferromagnets, highlighting anomalous magnetic coupling.
Findings
Identifies an anomalous coupling between magnetic field and order parameter.
Shows the system behaves as a non-conventional easy-axis antiferromagnet.
Results align with experimental data on La2CuO4.
Abstract
We derive the long-wavelength non-linear sigma model for a two-dimensional Heisenberg system in the presence of the Dzyaloshinskii-Moriya and pseudodipolar interactions. We show that the system is a non-conventional easy-axis antiferromagnet, displaying an anomalous coupling between the magnetic field and the staggered order parameter. Our results are in good agreement with recent experimental data for undoped La2CuO4 compounds.
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