Néel temperature and reentrant H-T phase diagram of quasi-2D frustrated magnets

Abstract

In quasi-2D quantum magnets the ratio of Néel temperature $T_{\text{N}}$ to Curie-Weiss temperature ${\Theta }_{\text{CW}}$ is frequently used as an empirical criterion to judge the strength of frustration. In this work we investigate how these quantities are related in the canonical quasi-2D frustrated square or triangular $J_1$-$J_2$ model. Using the self-consistent Tyablikov approach for calculating $T_{\text{N}}$ we show their dependence on the frustration control parameter $J_2/J_1$ in the whole Néel and columnar antiferromagnetic phase region. We also discuss approximate analytical results. In addition the field dependence of $T_{\text{N}}(H)$ and the associated possible reentrance behavior of the ordered moment due to quantum fluctuations is investigated. These results are directly applicable to a class of quasi-2D oxovanadate antiferromagnets. We give clear criteria to judge under which conditions the empirical frustration ratio $f={\Theta }_{\text{CW}}/T_{\text{N}}$ may be used as measure of frustration strength in the quasi-2D quantum magnets.

16 pages, 14 figures, to appear in Physical Review B

References in corpus (10)

• Spontaneous Magnon Decays
• Unusual ordered phases of highly frustrated magnets: a review
• Magnetic properties of BaCdVO(PO_4)_2: a strongly frustrated spin-1/2 square lattice close to the quantum critical regime
• Finite temperature properties and frustrated ferromagnetism in a square lattice Heisenberg model
• Frustrated two dimensional quantum magnets
• Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations
• The Two-Dimensional Square-Lattice S=1/2 Antiferromagnet Cu(pz)${}_2$(ClO${}_4$)${}_2$
• Quantum fluctuations in anisotropic triangular lattices with ferro- and antiferromagnetic exchange
• Ordered moment in the anisotropic and frustrated square lattice Heisenberg model
• Dimensional modulation of spontaneous magnetic order in quasi-two-dimensional quantum antiferromagnets

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