Frustrated magnets and quantum paramagnetic phases at finite temperature

Abstract

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 non-magnetic 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 non-trivial spin textures and a magnetization plateau at half-saturation which continuously disappears at $T\sim T_0$. Our results are relevant for frustrated vanadium oxides.

arXiv commentTeXLive (Unix), revtex4-1, 5 pages, 4 figures

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Cited by in corpus (3)

• Staircase of crystal phases of hard-core bosons on the Kagome lattice
• Critical and multicritical behavior in the Ising-Heisenberg universality class
• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field