Abstract
The ground state of a two-dimensional antiferromagnet having spins S=1/2 and interacting with acoustic phonons is investigated in the nonadiabatic approximation using the quantum-mechanical Monte Carlo method. The critical parameters of the spin-phonon coupling, corresponding to the formation of bound spin-phonon excitations, crystal symmetry lowering, and the emergence of a gap in the spin excitation spectrum, as well as the antiferromagnet-quantum spin liquid transition, are determined. The orthorhombicity parameter, the sublattice magnetization, the violation of the spherical symmetry of spin-spin correlation functions, and the magnetic moment in Gd2CuO4 and Eu2CuO4 are calculated.
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Translated from Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Fiziki, Vol. 124, No. 5, 2003, pp. 1080–1089.
Original Russian Text Copyright © 2003 by Aplesnin.
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Aplesnin, S.S. Nonadiabatic interaction of acoustic phonons with spins S=1/2 in the two-dimensional Heisenberg model. J. Exp. Theor. Phys. 97, 969–977 (2003). https://doi.org/10.1134/1.1633952
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DOI: https://doi.org/10.1134/1.1633952