Abstract
We study how the Néel order breaks the symmetries of the hamiltonian in quantum antiferromagnet. The construction of a quantum wave packet that mimics the classical groundstate implies the existence of an extensive number of states: 1) with an energy scale much smaller than the spin-waves excitations (magnons); 2) with well defined symmetries.
For the case of the triangular lattice, we find that all necessary properties to obtain a “Néel state” are well verified, already on periodic samples as small as 21 spins. For this system, this is a new and strong evidence of Néel order in the thermodynamic limit.
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References
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H. Nishimori and H. Nakanishi,J. Phys. Soc. Jpn. 57, 626 (1988).
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Bernu, B., Lhuillier, C. & Pierre, L. Broken symmetries and thermodynamic limit in quantum antiferromagnets. J Low Temp Phys 89, 523–526 (1992). https://doi.org/10.1007/BF00694078
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DOI: https://doi.org/10.1007/BF00694078