Quantum fluctuations in high field magnetization of 2D square lattice J1-J2 antiferromagnets

Abstract

The J1-J2 square lattice Heisenberg model with spin S=1/2 has three phases with long-range magnetic order and two unconventionally ordered phases depending on the ratio of exchange constants. It describes a number of recently found layered vanadium oxide compounds. A simple means of investigating the ground state is the study of the magnetization curve and high-field susceptibility. We discuss these quantities by using the spin-wave theory and the exact diagonalization in the whole J1-J2 plane. We compare both results and find good overall agreement in the sectors of the phase diagram with magnetic order. Close to the disordered regions the magnetization curve shows strong deviations from the classical linear behaviour caused by large quantum fluctuations and spin-wave approximation breaks down. On the FM side (J1<0) where one approaches the quantum gapless spin nematic ground state this region is surprisingly large. We find that inclusion of second order spin-wave corrections does not lead to fundamental improvement. Quantum corrections to the tilting angle of the ordered moments are also calculated. They may have both signs, contrary to the always negative first order quantum corrections to the magnetization. Finally we investigate the effect of the interlayer coupling and find that the quasi-2D picture remains valid up to |J_\perp/J1| ~ 0.3.

arXiv comment13 pages, 6figures

References in corpus (12)

• Nematic order in square lattice frustrated ferromagnets
• Li${}_2$VO(Si,Ge)O${}_4$, a prototype of a two-dimensional frustrated quantum Heisenberg antiferromagnet
• The J1-J2 model: First order phase transition versus deconfinement of spinons
• Finite temperature properties and frustrated ferromagnetism in a square lattice Heisenberg model
• Magnetic and thermodynamic properties of Li(2)VOSiO(4): a two-dimensional S=1/2 frustrated antiferromagnet on a square lattice
• Field induced ordering in highly frustrated antiferromagnets
• Low-energy singlet and triplet excitations in the spin-liquid phase of the two-dimensional J1-J2 model
• Magnetic susceptibility and specific heat of the spin-1/2 Heisenberg model on the kagome lattice and experimental data on ZnCu3(OH)6Cl2
• Magnetocaloric effect in the frustrated square lattice J1-J2 model
• Frustrated antiferromagnets at high fields: the Bose-Einstein condensation in degenerate spectra
• The two dimensional antiferromagnetic Heisenberg model in the presence of an external field
• Lanczos Study of the S=1/2 Frustrated Square-Lattice Antiferromagnet in a Magnetic Field

Cited by in corpus (25)

• Magnetic properties of BaCdVO(PO_4)_2: a strongly frustrated spin-1/2 square lattice close to the quantum critical regime
• Frustrated two dimensional quantum magnets
• Extension of the spin-1/2 frustrated square lattice model: the case of layered vanadium phosphates
• Exploring the spin-1/2 frustrated square lattice model with high-field magnetization measurements
• Frustrated local moment models for Fe-pnictide magnetism
• Quantum effects in a weakly-frustrated S=1/2 two-dimensional Heisenberg antiferromagnet in an applied magnetic field
• Frustrated square lattice with spatial anisotropy: crystal structure and magnetic properties of PbZnVO(PO4)2
• Novel phases in a square-lattice frustrated ferromagnet : 1/3-magnetisation plateau, helicoidal spin-liquid and vortex crystal
• Spin correlations and exchange in square lattice frustrated ferromagnets
• Thermodynamics of a frustrated quantum magnet on a square lattice
• Ordered moment in the anisotropic and frustrated square lattice Heisenberg model
• Magnetic phase diagram slightly below the saturation field in the stacked $J_1$-$J_2$ model in the square lattice with the $J_{\text{C}}$ interlayer coupling
• Field evolution of the spin-liquid candidate YbMgGaO${}_4$
• Staggered moment dependence on field-tuned quantum fluctuations in 2D frustrated antiferromagnets
• Deformed spin-$\frac{1}{2}$ square lattice in antiferromagnetic NaZnVOPO${}_4$(HPO${}_4$)
• Magnetic Catalysis in Antiferromagnetic Films
• Frustrated magnets and quantum paramagnetic phases at finite temperature
• Two dimensional frustrated magnets in high magnetic field
• Magnetization Plateaus in the Two-dimensional S = 1/2 Heisenberg Model with a 3$\times$3 Checkerboard Structure
• Spin correlations in the frustrated ferro-antiferromagnet SrZnVO(PO4)2 near saturation
• Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
• The two-dimensional frustrated Heisenberg model on the orthorhombic lattice
• Magnon dispersion and Single hole motion in 2D frustrated antiferromagnets with four-sublattice structures
• Square-Lattice Antiferromagnet Subjected to a Magnetic Field Aligned with the Order Parameter
• Field-induced states and thermodynamics of the frustrated Heisenberg antiferromagnet on a square lattice