Magnetism in S=1/2 Double-Perovskites with Strong Spin-Orbit Interactions

Abstract

We study magnetism on the fcc lattice with tetragonal distortions, with general exotic directional magnetic interactions allowed by symmetry. We consider two models, corresponding to a uniform tetragonal distortion, or a two-sublattice model with a tetragonal screw axis. We establish their low temperature phase diagrams in the semi-classical limit using classical optimization and consideration of fluctuations both analytically and by Monte Carlo simulation. Both order by disorder and exchange anisotropy mechanisms favor a $⟨110⟩$ easy axis for magnetization. We also show that spin-lattice coupling can give rise to an intermediate temperature paramagnetc nematic/orthorhombic phase, and discuss the transitions to/from this state. These results are relevant to a family of insulating magnetic double perovskites, and find immediate application to the ferromagnet Ba${}_2$NaOsO${}_6$.

arXiv comment18 pages, 12 figures

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Cited by in corpus (26)

• Anisotropic field-induced ordering in the triangular-lattice quantum spin liquid NaYbSe${}_2$
• Field-induced instability of the quantum-spin-liquid ground state in the $J_{\mathrm{eff}}=\frac{1}{2}$ triangular-lattice compound NaYbO${}_2$
• Novel Magnetism and Local Symmetry Breaking in a Mott Insulator with Strong Spin Orbit Interactions
• Detection of multipolar orders in the spin-orbit-entangled 5d Mott insulator Ba2MgReO6
• Ordering of hidden multipoles in spin-orbital entangled 5$d^1$ Ta chlorides
• Successive Symmetry Breaking in a Jeff = 3/2 Quartet in the Spin-Orbit Coupled Insulator Ba2MgReO6
• Spin-orbital-lattice entangled states in cubic $d^1$ double perovskites
• Highly-anisotropic exchange interactions of $j_{\mathrm{eff}}=1/2$ iridium moments on the fcc lattice in La${}_{2}B$IrO${}_6$ ($B$ $=$ Mg, Zn)
• Orbital and spin order in spin-orbit coupled $d^1$ and $d^2$ double perovskites
• Interplay between Spin-Orbit Coupling and Strong Correlation Effects: Comparison of Three Osmate Double Perovskites: Ba${}_{2}A$OsO${}_6$ ($A=$Na, Ca, Y)
• Spin-orbit coupling control of anisotropy, ground state and frustration in 5d2 Sr2MgOsO6
• Interplay between multipolar spin interactions, Jahn-Teller effect and electronic correlation in a $J_{eff}=\frac{3}{2}$ insulator
• Phase transition preceding magnetic long-range order in the double perovskite Ba2NaOsO6
• Nature of Lattice Distortions in Cubic Double-Perovskite Ba${}_2$NaOsO${}_6$
• Antiferromagnetic long-range order in $5d^1$ double-perovskite Sr${}_2$MgReO${}_6$
• Calculated g-factors of 5d double perovskites Ba2NaOsO6 and Ba2YOsO6
• Possible quadrupole order in tetragonal Ba2CdReO6 and chemical trend in the ground states of 5d1 double perovskites
• First Principles calculations of the EFG tensors of Ba${}_2$NaOsO${}_6$, a Mott insulator with strong spin orbit coupling
• Effects of charge doping on Mott insulator with strong spin-orbit coupling, Ba${}_2$NaOsO${}_6$
• Anisotropic exchange and non-collinear antiferromagnets on a noncentrosymmetric fcc structure as in the half-Heuslers
• "Switching" of Magnetic Anisotropy in a fcc Antiferromagnet with Direction-Dependent Interactions
• Dynamic Jahn-Teller Phenomena in Heavy Transition Metal Compounds
• Fate of multipolar physics in $5d^2$ double perovskites
• The free energy of anisotropic quantum spin systems: Functional integral representation
• Enhanced magnetism and suppressed magnetoelastic coupling induced by electron doping in Ca${}_{1-x}$Y${}_x$MnReO${}_6$
• Temperature-dependent magnetic anisotropy from directional-dependent interactions