Competing exotic topological insulator phases in transition-metal oxides on the pyrochlore lattice with distortion

@article{Kargarian2011CompetingET,
  title={Competing exotic topological insulator phases in transition-metal oxides on the pyrochlore lattice with distortion},
  author={Mehdi Kargarian and Jun Wen and Gregory A. Fiete},
  journal={Physical Review B},
  year={2011},
  volume={83},
  pages={165112}
}
In this work we investigate the phase diagram of heavy (4d and 5d) transition metal oxides on the pyrochlore lattice, such as those of the form $\mathrm{A_2M_2O_7}$, where A is a rare earth element and M is a transition metal element. We focus on the competition between Coulomb interaction, spin-orbit coupling, and lattice distortion when these energy scales are comparable. Strong spin-orbit coupling entangles the spin and the $t_{2g}$ $d$-orbitals giving rise to doublet $j=1/2$ and quadruplet… Expand

Figures from this paper

Metal-insulator transition and novel magnetism driven by Coulomb interactions, spin-orbit coupling and disorder
Strong interactions in transition metal oxides can lead to spectacular phenomena like high Tc superconductivity and colossal magnetoresistance which have dominated materials research in the pastExpand
Topological phases in oxide heterostructures with light and heavy transition metal ions (invited)
Using a combination of density functional theory, tight-binding models, and Hartree-Fock theory, we predict topological phases with and without time-reversal symmetry breaking in oxideExpand
First Principles Prediction of Topological Phases in Thin Films of Pyrochlore Iridates
TLDR
It is found Y2Ir2O7 bilayer and trilayer films grown along the [111] direction can support topological metallic phases with a direct gap of up to 0.05 eV, which could potentially bring transition metal oxides to the fore as a new class of topological materials with potential applications in oxide electronics. Expand
Electronic and Magnetic Properties of Double Perovskites and Oxide Interfaces
Transition metal oxides exhibit a wide range of fascinating phenomena ranging from high Tc superconductivity to colossal magnetoresistance. In this thesis, we examine the novel electronic andExpand
Quantum Hall Effect and Surface Criticality in 3D Topological Insulators
Topological insulators are unique quantum states of matter. Although they behave like ordinary insulators in the bulk, states involving massless Dirac fermions at the surface of such materials areExpand
Correlated Quantum Phenomena in the Strong Spin-Orbit Regime
We discuss phenomena arising from the combined influence of electron correlation and spin-orbit coupling (SOC), with an emphasis on emergent quantum phases and transitions in heavy transition metalExpand
Topological Phase Transition and Texture Inversion in a Tunable Topological Insulator
TLDR
By directly measuring the topological quantum numbers and invariants, this work reports the observation of a phase transition in a tunable spin-orbit system, BiTl(S1–δSeδ)2, in which the topologically state formation is visualized. Expand
Spin–orbit coupling and geometric phases at oxide interfaces
In this work, we investigate electronic and magnetic phenomena in thin films and heterostructures of transition metal oxides with strong spin–orbit coupling. Ultrathin films are prepared by pulsedExpand
Coupled spin-charge-phonon fluctuation in the all-in/all-out antiferromagnet Cd2Os2O7
We report on a novel spin-charge fluctuation in the all-in-all-out pyrochlore magnet Cd$_2$Os$_2$O$_7$, where the spin fluctuation is driven by the conduction of thermally excited electrons/holes andExpand
Dimensional crossover and cold-atom realization of topological Mott insulators
TLDR
A cold-atom setup where Hubbard on-site interactions give rise to spin liquid-like phases: weak and strong topological Mott insulators that represent the celebrated paradigm of an interacting and topological quantum state with fractionalized spinon excitations that inherit the topology of the non-interacting system is proposed. Expand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 80 REFERENCES
Topological insulators and metal-insulator transition in the pyrochlore iridates
The possible existence of topological insulators in cubic pyrochlore iridates ${A}_{2}{\text{Ir}}_{2}{\text{O}}_{7}$ ($A=\text{Y}$ or rare-earth elements) is investigated by taking into account theExpand
The physics of manganites: Structure and transport
The fundamental physical properties of doped ${\mathrm{LaMnO}}_{3},$ generically termed ``manganites,'' and much of the underlying physics, were known more than 40 years ago. This article firstExpand
Microscopic study of a spin-orbit-induced Mott insulator in Ir oxides.
TLDR
The variational Monte Carlo method is used to obtain the ground state phase diagram and it is found that the transition from a paramagnetic metal to an antiferromagnetic insulator occurs at a finite U=U(MI), which is greatly reduced by a large λ, characteristic of 5d electrons, and leads to the "spin-orbit-induced" Mott insulator. Expand
Ordering in a frustrated pyrochlore antiferromagnet proximate to a spin liquid
We perform a general study of spin ordering on the pyrochlore lattice with a 3:1 proportionality of two spin polarizations. Equivalently, this describes valence bond solid conformations of a quantumExpand
Models of degeneracy breaking in pyrochlore antiferromagnets
Motivated by the low-temperature magnetization curves of several spinel chromites, we theoretically study classical mechanisms of degeneracy lifting in pyrochlore antiferromagnets. Our main focus isExpand
Interaction-driven topological insulators on the kagome and the decorated honeycomb lattices
We study the spinless and spinful extended Hubbard models with repulsive interactions on the kagome and the decorated honeycomb (star) lattice. Using Hartree-Fock mean-field theory, we show thatExpand
Interaction effects and quantum phase transitions in topological insulators
We study strong correlation effects in topological insulators via the Lanczos algorithm, which we utilize to calculate the exact many-particle ground-state wave function and its topologicalExpand
Colloquium : Topological insulators
Topological insulators are electronic materials that have a bulk band gap like an ordinary insulator but have protected conducting states on their edge or surface. These states are possible due toExpand
Three-dimensional topological insulators on the pyrochlore lattice.
Electrons hopping on the sites of a three-dimensional pyrochlore lattice are shown to form topologically nontrivial insulating phases when the spin-orbit (SO) coupling and lattice distortions areExpand
Metal-insulator transitions
Metal-insulator transitions are accompanied by huge resistivity changes, even over tens of orders of magnitude, and are widely observed in condensed-matter systems. This article presents theExpand
...
1
2
3
4
5
...