Ferromagnetic transition in the double-exchange model on the pyrochlore lattice

Abstract

The double-exchange model, which has been extensively studied in the context of colossal magneto-resistance in perovskite manganese oxides, is known to exhibit a ferromagnetic metallic state at low temperatures because of the interplay between localized moments and itinerant electrons through the Hund's-rule coupling. Here we investigate numerically the ferromagnetic transition in the double-exchange model defined on the frustrated pyrochlore lattice as a simple model for ferromagnetic pyrochlore oxides. We demonstrate that the finite-size corrections are largely reduced by implementing averages over the twisted boundary conditions in the Monte Carlo simulation, which enables to estimate the ferromagnetic transition temperature in relatively small size clusters. The estimate is compared with that for the non-frustrated cubic lattice system.

4 pages, 4 figures, Proceedings for ICM2009

References in corpus (5)

• A Monte Carlo Method for Fermion Systems Coupled with Classical Degrees of Freedom
• Effects of Crystal Structure and the On-Site Coulomb Interactions on the Electronic and Magnetic Structure of Pyrochlores $A_2$Mo${}_2$O${}_7$ (A= Y, Gd, and Nd)
• Monte Carlo Study of Doping Change and Disorder Effect on Double Exchange Ferromagnetism
• Order N Monte Carlo Algorithm for Fermion Systems Coupled with Fluctuating Adiabatical Fields
• Universality Class of Ferromagnetic Transition in Three-Dimensional Double-Exchange System - O(N) Monte Carlo Study -

Cited by in corpus (8)

• Noncoplanar magnetic ordering driven by itinerant electrons on the pyrochlore lattice
• Phase competition in the double-exchange model on the frustrated pyrochlore lattice
• Spin superstructure and noncoplanar ordering in metallic pyrochlore magnets with degenerate orbitals
• Colossal enhancement of spin-chirality-related Hall effect by thermal fluctuation
• Electronic phase separation in the pyrochlore double-exchange model
• Orbital degeneracy and Mott transition in Mo pyrochlore oxides
• Polynomial Expansion Monte Carlo Study of Frustrated Itinerant Electron Systems: Application to a Spin-ice type Kondo Lattice Model on a Pyrochlore Lattice
• Application of polynomial-expansion Monte Carlo method to a spin-ice Kondo lattice model