Competing magnetic interactions in spin-1/2 square lattice: hidden order in Sr${}_2$VO${}_4$

Abstract

With decreasing temperature Sr${}_2$VO${}_4$ undergoes two structural phase transitions, tetragonal-to-orthorhombic-to-tetragonal, without long-range magnetic order. Recent experiments suggest, that only at very low temperature Sr${}_2$VO${}_4$ might enter some, yet unknown, phase with long-range magnetic order, but without orthorhombic distortion. By combining relativistic density functional theory with an extended spin-1/2 compass-Heisenberg model we find an antiferromagnetic single-stripe ground state with highly competing exchange interactions, involving a non negligible inter-layer coupling, which places the system at the crossover between between the XY and Heisenberg picture. Most strikingly, we find a strong two-site "spin-compass" exchange anisotropy which is relieved by the orthorhombic distortion induced by the spin stripe order. Based on these results we discuss the origin of the hidden order phase and the possible formation of a spin-liquid at low temperatures.

References in corpus (14)

• Magnetism and its microscopic origin in iron-based high-temperature superconductors
• Calculations of Hubbard U from first-principles
• Hubbard U and Hund's Exchange J in Transition Metal Oxides: Screening vs. Localization Trends from Constrained Random Phase Approximation
• Bi-collinear antiferromagnetic order in the tetragonal $\alpha$-FeTe
• Magnetic properties of BaCdVO(PO_4)_2: a strongly frustrated spin-1/2 square lattice close to the quantum critical regime
• Anisotropy, Itineracy, and Magnetic Frustration in High-Tc Iron Pnictides
• Doping evoluton of antiferromagnetic order and structural distortion in LaFeAsO${}_{1-x}$F${}_x$
• Biquadratic and ring exchange interactions in orthorhombic perovskite manganites
• Electronic Structure of Strongly Correlated Systems Emerging from Combining Path-Integral Renormalization Group with Density Functional Approach
• Magnetically Hidden Order of Kramers Doublets in $d^1$ Systems: Sr${}_2$VO${}_4$
• Antiferromagnetism in Ru2MnZ (Z=Sn, Sb, Ge, Si) full Heusler alloys: effects of magnetic frustration and chemical disorder
• Sr${}_2$(Ba${}_2$)VO${}_4$ under pressure -- an orbital switch and potential $d^1$ superconductor
• Ground State Properties and Optical Conductivity of the Transition Metal Oxide $\mathrm{S}{\mathrm{r}}_2\mathrm{V}{\mathrm{O}}_4$
• Non-collinear magnetic ordering in compressed FePd${}_3$ ordered alloy: a first principles study

Cited by in corpus (3)

• Hidden orders in spin-orbit entangled correlated insulators
• Spin-orbit coupling induced orbital entanglement in a three-band Hubbard model
• Sr${}_2$NbO${}_4$: A $4d$ analogue of the layered perovskite Sr${}_2$VO${}_4$