Two-dimensional charge order in layered 2-1-4 perovskite oxides

Abstract

Monte Carlo simulations are performed on the three-dimensional (3D) Ising model with the 2-1-4 layered perovskite structure as a minimal model for checkerboard charge ordering phenomena in layered perovskite oxides. Due to the interlayer frustration, only 2D long-range order emerges with a finite correlation length along the c axis. Critical exponents of the transition change continuously as a function of the interlayer coupling constant. The interlayer long-range Coulomb interaction decays exponentially and is negligible even between the second-neighbor layers. Instead, monoclinic distortion of a tetragonal unit cell lifts the macroscopic degeneracy to induce a 3D charge ordering. The dimensionality of the charge order in La${}_{0.5}$Sr${}_{1.5}$MnO${}_4$ is discussed from this viewpoint.

5 pages including 6 figures, with major changes including discussion on charge ordering phenomena in layered perovskite oxides

References in corpus (9)

• Stripe order at low temperatures in La{2-x}Sr{x}NiO4 for 1/3 < x < 1/2
• Direct observation of orbital ordering in La${}_{0.5}$Sr${}_{1.5}$MnO${}_4$ using soft x-ray diffraction
• Critical Phenomena of Ferromagnetic Transition in Double-Exchange Systems
• Spontaneous rearrangement of the checkerboard charge order to stripe order in La1.5Sr0.5NiO4
• Sliding Phases in XY-Models, Crystals, and Cationic Lipid-DNA Complexes
• Nature of $e_g$ Electron Order in La${}_{1-x}$Sr${}_{1+x}$MnO${}_4$
• Ordering Process and Its Hole Concentration Dependence of the Stripe Order in La{2-x}Sr{x}NiO{4}
• Dimensional cross-over and charge order in half-doped Manganites and Cobaltites
• Exact Solution of a Three-Dimensional Dimer System

Cited by in corpus (3)

• Antiferromagnetic Ising Model on Inverse Perovskite Lattice
• Hidden Charge Order in an Iron Oxide Square-Lattice Compound
• Logarithmic growth law in the two-dimensional Ising spin glass state resulting from the electron doping in single-layered manganites