Chiral RKKY interaction in Pr2Ir2O7

Abstract

Motivated by the potential chiral spin liquid in the metallic spin ice Pr2Ir2O7, we consider how such a chiral state might be selected from the spin ice manifold. We propose that chiral fluctuations of the conducting Ir moments promote ferro-chiral couplings between the local Pr moments, as a chiral analogue of the magnetic RKKY effect. Pr2Ir2O7 provides an ideal setting to explore such a chiral RKKY effect, given the inherent chirality of the spin-ice manifold. We use a slave-rotor calculation on the pyrochlore lattice to estimate the sign and magnitude of the chiral coupling, and find it can easily explain the 1.5K transition to a ferro-chiral state.

9 pages; 7 figures

References in corpus (24)

• Anomalous Hall effect
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Spin Ice State in Frustrated Magnetic Pyrochlore Materials
• Novel Jeff = 1/2 Mott State Induced by Relativistic Spin-Orbit Coupling in Sr2IrO4
• Mott physics and band topology in materials with strong spin-orbit interaction
• Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
• Pyrochlore Photons: The U(1) Spin Liquid in a S=1/2 Three-Dimensional Frustrated Magnet
• Topological and magnetic phases of interacting electrons in the pyrochlore iridates
• Quantized Thermal Transport in the Fractional Quantum Hall Effect
• Coulombic Quantum Liquids in Spin-1/2 Pyrochlores
• Dipolar spin correlations in classical pyrochlore magnets
• Slave-rotor mean field theories of strongly correlated systems and the Mott transition in finite dimensions
• Metal-Nonmetal Changeover in Pyrochlore Iridates
• Quantum Melting of Spin Ice: Emergent Cooperative Quadrupole and Chirality
• Hastatic Order in URu2Si2
• Magnetic orders and topological phases from f-d exchange in pyrochlore iridates
• Competing Exotic Topological Insulator Phases in Transition Metal Oxides on the Pyrochlore Lattice with Distortion
• Pressure Tuned Insulator to Metal Transition in Eu${}_2$Ir${}_2$O${}_7$
• Mott transition between a spin-liquid insulator and a metal in three dimensions
• Non-Kondo mechanism for resistivity minimum in spin ice conduction systems
• Ordering of the pyrochlore Ising model with the long-range RKKY interaction
• Weak quasistatic magnetism in the frustrated Kondo lattice Pr_2Ir_2O_7
• Proposal for detecting spin-chirality terms in Mott insulators via resonant inelastic x-ray scattering
• Exotic Kondo Effects in Metals: Magnetic Ions in a Crystalline Electric Field and Tunneling Centers

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• Correlated quantum phenomena in the strong spin-orbit regime
• Quantum Spin Ice: A Search for Gapless Quantum Spin Liquids in Pyrochlore Magnets
• Quantum criticality in a metallic spin liquid
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• A New Type of Quantum Criticality in the Pyrochlore Iridates
• Enhanced weak ferromagnetism and conductivity in hole-doped pyrochlore iridate Y2Ir2O7
• Ruderman-Kittel-Kasuya-Yosida interaction in Weyl semimetals
• Direct Evidence for the 'All-in/All-out' Magnetic Structure in the Pyrochlore Iridates from $\mu$SR
• Magnetic monopole condensation in pyrochlore ice quantum spin liquid: application to Pr2Ir2O7 and Yb2Ti2O7
• Competing orders and topology in the global phase diagram of pyrochlore iridates
• RKKY interactions and anomalous Hall effect in metallic rare-earth pyrochlores
• When opposites repel: from metastability to extended chiral spin textures in spin ice with short-range topological-defect interactions
• Indirect Chiral Magnetic Exchange through Dzyaloshinskii-Moriya--Enhanced RKKY Interactions in Manganese Oxide Chains on Ir(100)
• Pr${}_2$Ir${}_2$O${}_7$: when Luttinger semimetal meets Melko-Hertog-Gingras spin ice state
• Spin-orbital liquids in non-Kramers magnet on Kagome lattice
• Topological Superconductivity in Metal/Quantum-Spin-Ice Heterostructures
• Phonon spectrum of Pr${}_2$Zr${}_2$O${}_7$ and Pr${}_2$Ir${}_2$O${}_7$ as an evidence of coupling of the lattice with electronic and magnetic degrees of freedom
• Symmetry breaking via Kondo hybridization: Chiral nematic metal in Pr2Ir2O7
• Non-Fermi liquid regime in metallic pyrochlore iridates: Quantum Griffiths singularities
• Phase Diagram of a Spin-ice Kondo Lattice Model in a Breathing Pyrochlore Lattice
• Anomalous Hall effect and quantum criticality in geometrically frustrated heavy fermion metals
• Impurities in 3D quadratic band-touching Luttinger semimetals : Friedel and RKKY oscillations