Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2012-04-11
Physics
Condensed Matter
Strongly Correlated Electrons
TeXLive (Unix), revtex4-1, 5 pages, 4 figures
Scientific paper
We develop a general framework, which combines exact diagonalization in small clusters with a density matrix variational principle, to study frustrated magnets at finite temperature. This thermodynamic hierarchical mean-field technique is used to describe the phase diagram and magnetization process of the 3D spin-1/2 $J_1$-$J_2$ antiferromagnet on a stacked square lattice. We demonstrate that with temperature the non-magnetic region of this model exhibits a crossover from quantum to classical paramagnet, and show how the corresponding temperature scale can be extracted from thermodynamic measurements. Below this crossover temperature an applied magnetic field induces a variety of phases with non-trivial spin textures. We discuss implications of our results for experiments in frustrated vanadium oxides.
Isaev L.
Ortiz Gerardo
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