Ordering of the pyrochlore Ising model with the long-range RKKY interaction

Abstract

The ordering of the Ising model on a pyrochlore lattice interacting via the long-range RKKY interaction, which models a metallic pyrochlore magnet such as Pr_2Ir_2O_7, is studied by Monte Carlo simulations. Depending on the parameter k_F representing the Fermi wavevector, the model exhibits rich ordering behaviors.

References in corpus (7)

• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Dipolar Interactions and Origin of Spin Ice in Ising Pyrochlore Magnets
• Long Range Order at Low Temperature in Dipolar Spin Ice
• Ising pyrochlore magnets: Low temperature properties, ice rules and beyond
• Thermodynamic Properties of the Dipolar Spin Ice Model
• Metal-Nonmetal Changeover in Pyrochlore Iridates
• Finite Temperature Transitions in Large Magnetic Field in Dipolar Spin Ice

Cited by in corpus (22)

• Quantum fluctuations in the effective pseudospin-1/2 model for magnetic pyrochlore oxides
• Noncoplanar magnetic ordering driven by itinerant electrons on the pyrochlore lattice
• Magnetic order and the electronic ground state in the pyrochlore iridate Nd2Ir2O7
• New physics in frustrated magnets: Spin ices, monopoles, etc
• Non-Kondo mechanism for resistivity minimum in spin ice conduction systems
• Replica symmetry breaking in the RKKY skyrmion crystal system
• Skyrmion crystal in the RKKY system on the two-dimensional triangular lattice
• Chiral RKKY interaction in Pr2Ir2O7
• Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice
• Magnetization and Hall effect studies on the pyrochlore iridate Nd2Ir2O7
• Spin superstructure and noncoplanar ordering in metallic pyrochlore magnets with degenerate orbitals
• Electronic transport in the Coulomb phase of the pyrochlore spin ice
• Spin-lattice-coupled order in Heisenberg antiferromagnets on the pyrochlore lattice
• Magnetic Order and Charge Disproportionation in a Spin-ice type Kondo Lattice Model: Large Scale Monte Carlo Study
• Low-temperature magnetic properties of the Kondo lattice model in one dimension
• Amorphous ferromagnetism and re-entrant magnetic glassiness in Sm${}_2$Mo${}_2$O${}_7$: new insights into the electronic phase diagram of pyrochlore molybdates
• Unified description of resistivity and thermopower of Pr${}_2$Ir${}_2$O${}_7$: possible influence of crystal field excitation in a Kondo lattice
• Non-Fermi liquid regime in metallic pyrochlore iridates: Quantum Griffiths singularities
• Traversing the pyrochlore stability diagram; microwave-assisted synthesis and discovery of mixed B-site Ln${}_2$InSbO${}_7$ family
• Supercooled Jahn-Teller Ice
• Monte Carlo Study of an Effective Ising Model for the Spin-ice type Kondo Lattice Model
• Phase Diagram of a Spin-ice Kondo Lattice Model in a Breathing Pyrochlore Lattice