Pyrochlore electrons under pressure, heat and field: shedding light on the iridates

Abstract

We study the finite temperature and magnetic field phase diagram of electrons on the pyrochlore lattice subject to a local repulsion as a model for the pyrochlore iridates. We provide the most general symmetry-allowed Hamiltonian, including next-nearest neighbour hopping, and relate it to a Slater-Koster based Hamiltonian for the iridates. It captures Lifshitz and/or thermal transitions between several phases such as metals, semimetals, topological insulators and Weyl semimetals, and gapped antiferromagnets with different orders. Our results on the charge conductivity, both DC and optical, Hall coefficient, magnetization and susceptibility show good agreement with recent experiments and provide new predictions. As such, our effective model sheds light on the pyrochlore iridates in a unified way.

6+3 pages, 7+2 figures. v3: expanded version, with 3 new figures

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Cited by in corpus (60)

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• Thermoelectric properties of Weyl and Dirac semimetals
• Optical evidence for a Weyl semimetal state in pyrochlore Eu2Ir2O7
• Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice
• Recent progress on correlated electron systems with strong spin-orbit coupling
• Spin-orbit-entangled electronic phases in 4$d$ and 5$d$ transition-metal compounds
• Emergent topological phenomena in thin films of pyrochlore iridates
• A New Type of Quantum Criticality in the Pyrochlore Iridates
• Phase diagram of pyrochlore iridates: all-in-all-out magnetic ordering and non-Fermi liquid properties
• Direct Evidence for the 'All-in/All-out' Magnetic Structure in the Pyrochlore Iridates from $\mu$SR
• Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
• Time-reversal symmetric U(1) quantum spin liquids
• Competing orders and topology in the global phase diagram of pyrochlore iridates
• Anisotropy induces non-Fermi-liquid behavior and nematic magnetic order in three-dimensional Luttinger semimetals
• Pressure and magnetic-field effects on metal-insulator transitions of bulk and domain-wall states in pyrochlore iridates
• Surface States of Perovskite Iridates AIrO${}_3$; Signatures of Topological Crystalline Metal with Nontrivial ${\mathbb{Z}}_2$ Index
• All-optical nonequilibrium pathway to stabilizing magnetic Weyl semimetals in pyrochlore iridates
• Comparative studies of low temperature X-ray diffraction experiments on R2Ir2O7 (R = Nd, Eu, and Pr)
• Weyl semimetal from spontaneous inversion symmetry breaking in pyrochlore oxides
• A magnetic Weyl semimetallic phase in thin films of Eu${}_2$Ir${}_2$O${}_7$
• Electron interactions, spin-orbit coupling, intersite correlations in pyrochlore iridates
• Rational design principles for giant spin Hall effect in 5d-transition metal oxides
• Anatomy of Topological Surface States: Exact Solutions from Destructive Interference on Frustrated Lattices
• Dilute stuffing in the pyrochlore iridate $E{u}_{2}I{r}_2{O}_7$
• Perfect flat band with chirality and charge ordering out of strong spin-orbit interaction
• Non-collinear magnetic structure and multipolar order in Eu${}_2$Ir${}_2$O${}_7$
• Magnetic excitation spectra in pyrochlore iridates
• First-principles study on cubic pyrochlore iridates Y2Ir2O7 and Pr2Ir2O7
• Correlation effects in pyrochlore iridate thin films grown along the $[111]$ direction
• Anomalous lattice contraction and emergent electronic phases in Bi-doped Eu${}_2$Ir${}_2$O${}_7$
• Weak magnetic transitions in pyrochlore Bi2Ir2O7
• Symmetric $\mathrm{U}(1)$ and ${\mathbb{Z}}_2$ spin liquids on the pyrochlore lattice
• Unconventional free charge in the correlated semimetal Nd2Ir2O7
• Pressure tuning domain-wall chirality in noncentrosymmetric magnetic Weyl semimetal CeAlGe
• Interacting spin-3/2 fermions in a Luttinger semimetal: Competing phases and their selection in the global phase diagram
• Theory of Multifarious Quantum Phases and Large Anomalous Hall effect in Pyrochlore Iridate Thin Films
• Robustness of anomaly-related magnetoresistance in doped Weyl semimetals
• Magnetic field induced topological semimetals near a quantum critical point of pyrochlore iridates
• Influence of hydrostatic pressure on the bulk magnetic properties of Eu${}_2$Ir${}_2$O${}_7$
• Nonlinear Magnetoelectric Effect under Magnetic Octupole Order: Its Application to a $d$-Wave Altermagnet and a Pyrochlore Lattice with All-In/All-Out Magnetic Order
• Weyl Rings and enhanced susceptibilities in Pyrochlore Iridates: $k\cdot p$ Analysis of Cluster Dynamical Mean-Field Theory Results
• Dielectric and electronic properties of three-dimensional Luttinger semimetals with a quadratic band touching
• Mott-Hubbard transition and spin-liquid state on the pyrochlore lattice
• Stability of the Weyl-semimetal phase on the pyrochlore lattice
• Incommensurate spin density wave at a ferromagnetic quantum critical point in a three-dimensional parabolic semimetal
• Bogoliubov Fermi surfaces from pairing of emergent $j=3/2$ fermions on the pyrochlore lattice
• Competing magnetic orders and multipolar Weyl fermions in 227 pyrochlore iridates
• Symmetry breaking via Kondo hybridization: Chiral nematic metal in Pr2Ir2O7
• IrF4: From Tetrahedral Compass Model to Topological Semimetal
• Magnetic field tuning of the valley population in the Weyl phase of Nd${}_2$Ir${}_2$O${}_7$
• Selective probing of magnetic order on Tb and Ir sites in stuffed Tb${}_{2+x}$Ir${}_{2-x}$O${}_{7-y}$ using resonant X-ray scattering
• Exploration of trivial and non-trivial electronic phases and of collinear and non-collinear magnetic phases in low-spin d${}^5$ perovskites
• Emergent chiral symmetry in non-bipartite kagome and pyrochlore lattices with spin-orbit coupling
• Quasiparticle interference from different impurities on the surface of pyrochlore iridates: signatures of the Weyl phase
• Induction of Large Magnetic Anisotropy Energy and Formation of Multiple Dirac States in SrIrO${}_3$ Films: Role of correlation and spin-orbit coupling
• Theory of transverse magnetization in spin-orbit coupled antiferromagnets
• Metal-insulator transitions in pyrochlore oxides
• Quasiuniversality from all-in-all-out Weyl quantum criticality in pyrochlore iridates
• First-principles design of the spinel iridate Ir2O4 for high-temperature quantum spin ice
• Construction of the spectral function from non-commuting spectral moment matrices