Strain Fields and Critical Phenomena in Manganites I: Spin-Lattice Hamiltonians

Abstract

We use a model Hamiltonian to study critical phenomena in manganites. This Hamiltonian includes long-range strain interactions, and a coupling between the magnetic order parameter and the strain field. We perform a perturbative renormalization group (RG) analysis and calculate the static critical exponents, correct to the one-loop level. We compare our RG results with many experiments on doped manganite critical systems. Our theory is in excellent agreement with the experimental values for the critical exponents.

References in corpus (33)

• Double Exchange Alone Does Not Explain the Resistivity of $L{a}_{1-x}S{r}_{x}Mn{O}_3$
• Dynamic Jahn-Teller Effect and Colossal Magnetoresistance in $L{a}_{1-x}{A}_{x}Mn{O}_3$
• Transport Properties of the Kondo Lattice Model in the Limit $S=\infty$ and $D=\infty$
• Epitaxial-strain-induced multiferroicity in SrMnO${}_3$ from first principles
• Tricritical Point and the Doping Dependence of the Order of the Ferromagnetic Phase Transition of La1-xCaxMnO3
• Magnetism and Structural Distortion in the La0.7Sr0.3MnO3 Metallic Ferromagnet
• Pressure dependence of the magnetization in the ferromagnetic superconductor UGe_2
• Ferromagnetism and electron-phonon coupling in the manganites
• Magnetoresistance of the Double-Exchange Model in Infinite Dimension
• Critical Phenomena of Ferromagnetic Transition in Double-Exchange Systems
• Criticality and Phase Diagram of Quantum Long-Range $\text{O(N)}$ models
• Critical properties in single crystals of Pr1-xPbxMnO3
• Relations between Short Range and Long Range Ising models
• Froehlich-Coulomb model of high-temperature superconductivity and charge segregation in the cuprates
• Fixed Points Structure & Effective Fractional Dimension for O(N) Models with Long-Range Interactions
• Critical properties of the double exchange ferromagnet Nd0.4Pb0.4MnO3
• Superlight small bipolarons in the presence of strong Coulomb repulsion
• Elastic interaction and superstructures in manganites and other Jahn-Teller systems
• Observation of 3D Heisenberg-like ferromagnetism in single crystal La_{0.875}Sr_{0.125}MnO_3
• Effects of uniaxial strain in LaMnO_3
• Effect of electron-phonon interaction range on lattice polaron dynamics: a continuous-time quantum Monte Carlo study
• Effects of lattice geometry and interaction range on polaron dynamics
• Epitaxial-strain effect on charge/orbital order in Pr0.5Ca0.5MnO3 films
• The Essential Interactions in Oxides and Spectral Weight Transfer in Doped Manganites
• Local Structure and It's Effect on The Ferromagnetic Properties of La${}_{0.5}$Sr${}_{0.5}$CoO${}_3$ thin films}
• Effect of strain on the orbital and magnetic ordering of manganite thin films and their interface with an insulator
• Nature of Long-Range Order in Stripe-Forming Systems with Long-Range Repulsive Interactions
• Highly anisotropic resistivities in the double-exchange model for strained manganites
• Atomic scale lattice distortions and domain wall profiles
• Quantum and thermal melting of stripe forming systems with competing long ranged interactions
• Scaling behavior of a square-lattice Ising model with competing interactions in a uniform field
• Non-equilibrium Relaxation Study of Ferromagnetic Transition in Double-Exchange Systems
• Mass of a lattice polaron from extended Holstein model using Yukawa potential

Cited by in corpus (1)

• Hidden superuniversality in systems with continuous variation of critical exponents