Charge ordering and long-range interactions in layered transition metal oxides: a quasiclassical continuum study

Abstract

The competition between long-range and short-range interactions among holes moving in an antiferromagnet (AF), is studied within a model derived from the spin density wave picture of layered transition metal oxides. A novel numerical approach is developed which allows one to solve the problem at finite hole densities in very large systems (of order hundreds of lattice spacings), albeit in a quasiclassical limit, and to correctly incorporate the long-range part of the Coulomb interaction. The focus is on the problem of charge ordering and the charge phase diagram: at low temperatures four different phases are found, depending on the strength of the magnetic (dipolar) interaction generated by the spin-wave exchange, and the density of holes. The four phases are the Wigner crystal, diagonal stripes, a grid phase (horizontal-vertical stripe loops) and a glassy-clumped phase. In the presence of both in-plane and out-of-plane charged impurities the stripe ordering is suppressed, although finite stripe segments persist. At finite temperatures multiscale (intermittency) dynamics is found, reminiscent of that in glasses. The dynamics of stripe melting and its implications for experiments is discussed.

A number of minor changes; one figure removed; REVTEX

References in corpus (3)

• Mean-field solution of the small-world network model
• Charge order, superconductivity, and a global phase diagram of doped antiferromagnets
• Metallic stripe in two dimensions: stability and spin-charge separation

Cited by in corpus (20)

• Dynamical Ordering of Driven Stripe Phases in Quenched Disorder
• Structural Transitions, Melting, and Intermediate Phases for Stripe and Clump Forming Systems
• Lekner summations and Ewald summations for quasi-two dimensional systems
• Spin-glass phase of cuprates
• Depinning and Dynamics of Systems with Competing Interactions in Quenched Disorder
• Fibrillar templates and soft phases in systems with short-range dipolar and long-range interactions
• Stripes, Vibrations and Superconductivity
• Lattice anisotropy as microscopic origin of static stripes in cuprates
• Dynamics and Melting of Stripes, Crystals, and Bubbles with Quenched Disorder
• Anisotropic Sliding Dynamics, Peak Effect, and Metastability in Stripe Systems
• A low temperature disordered phase of alpha-Pb/Ge(111)
• Superconductivity Versus Phase Separation, Stripes, and Checkerboard Ordering: A Two-Dimensional Monte Carlo Study
• Hysteresis and re-entrant melting of a self-organized system of classical particles confined in a parabolic trap
• Polaron and bipolaron formation in the Hubbard-Holstein model: role of next-nearest neighbor electron hopping
• Vibrational edge modes in intrinsically heterogeneous doped transition metal oxides
• Topological Defects and the Spin Glass Phase of Cuprates
• Holes as Dipoles in a Doped Antiferromagnet and Stripe Instabilities
• Real-space observation of charge ordering in epitaxial La2-xSrxCuO4 films
• Effect of FET geometry on charge ordering of transition metal oxides
• Structural compliance, misfit strain and stripe nanostructures in cuprate superconductors