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Frustrated magnets and quantum paramagnetic phases at finite temperature

机译：有限温度下受挫的磁体和量子顺磁相

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摘要

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 determine the phase diagram and magnetization process of the three-dimensional spin-1/2 J_1-J_2 antiferromagnet on a stacked square lattice. Its nonmagnetic phase exhibits a thermal crossover from a quantum to a classical paramagnet at a temperature T = T_0 which can be extracted from thermodynamic measurements. At low temperature an applied magnetic field stabilizes, through order by disorder, a variety of phases with nontrivial spin textures, and a magnetization plateau at half-saturation which continuously disappears at T ～ T_0. Our results are relevant for frustrated vanadium oxides.
机译：我们开发了一个通用框架，该框架将小簇中的精确对角化与密度矩阵变分原理相结合，以研究有限温度下的受挫磁体。该热力学分层平均场技术用于确定堆叠方格上的三维自旋1/2 J_1-J_2反铁磁体的相图和磁化过程。它的非磁性相在温度T = T_0时表现出从量子到经典顺磁体的热交换，可以从热力学测量中提取出来。在低温下，施加的磁场按无序有序地稳定了具有平凡自旋织构的各种相，并且半饱和的磁化平稳期在T〜T_0处连续消失。我们的结果与沮丧的钒氧化物有关。

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