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Topological Phases in Perovskite Iridates with Strong Spin-Orbit Coupling

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Release : 2017
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Book Synopsis Topological Phases in Perovskite Iridates with Strong Spin-Orbit Coupling by : YIGE. CHEN

Download or read book Topological Phases in Perovskite Iridates with Strong Spin-Orbit Coupling written by YIGE. CHEN. This book was released on 2017. Available in PDF, EPUB and Kindle. Book excerpt: The study of topological phases of matter has attracted much attention recently, providing a promising route to understanding the classification of various phases in condensed matter physics. The Iridates, which are Iridium-based compounds, have already shown rich physical phenomena and can be a perfect platform to reveal topological phases in materials with strong spin-orbit coupling. This thesis focuses on possible exotic topological phases that stem from the interplay between strong spin-orbit coupling and non-trivial band structure in three-dimensional perovskite Iridates and other layered Iridate materials. Firstly, motivated from previous band structure results of SrIrO$_3$, we predict that three-dimensional perovskite Iridates can realize a new class of metals dubbed ``topological crystalline metals" with surface states protected by lattice symmetry and a pair of topological invariants. We show that these novel metallic phases can give rise to various non-trivial topological phases when different symmetries are broken, including a Weyl and nodal-line semimetal . Secondly, we provide a generic condition to identify a novel three-dimensional topological semi-metallic phase in materials with strong spin-orbit coupling. Such a semi-metallic phase is featured by bulk gapless four-fold degenerate nodal-line excitations. By using perovskite Iridates SrIrO$_3$ as an example, we give an explicit mathematical proof on the validity of this condition as well as verify the existence of such bulk nodal-line band degeneracy in the tight-binding model. Thirdly, we propose that a topological insulator can exist in a two-dimensional single layer Iridium oxide superlattice under certain lattice distortions; a tight-binding model is constructed using the basis of an effective J$_{\rm eff}$=1/2 pseudo-spins. A topological magnetic insulator with quantum anomalous Hall effect is found in the bilayer superlattice when a magnetic order or magnetic field is present in the system. Lastly, a pair of helical Majorana fermions emerges at the interface of a two-dimensional Weyl semimetal and a d-wave superconductor. We focused on the most promising and feasible realization: Iridium oxide layer without inversion symmetry, which is classified as Weyl semimetal, in proximity to d-wave high temperature Cuprates. In conclusion, we provide some future directions related to the topological phases in Iridates.

Interplay Between Spin-orbit Coupling, Electronic Correlations and Lattice Distortions in Perovskite Iridates

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Release : 2013
Genre : Physics theses
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Book Synopsis Interplay Between Spin-orbit Coupling, Electronic Correlations and Lattice Distortions in Perovskite Iridates by : Jean-Michel Delisle Carter

Download or read book Interplay Between Spin-orbit Coupling, Electronic Correlations and Lattice Distortions in Perovskite Iridates written by Jean-Michel Delisle Carter. This book was released on 2013. Available in PDF, EPUB and Kindle. Book excerpt:

Physics of Spin-Orbit-Coupled Oxides

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Author :
Release : 2021
Genre : Science
Kind : eBook
Book Rating : 026/5 ( reviews)

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Book Synopsis Physics of Spin-Orbit-Coupled Oxides by : Gang Cao

Download or read book Physics of Spin-Orbit-Coupled Oxides written by Gang Cao. This book was released on 2021. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at graduate students, post docs and senior researchers with preliminary expertise in materials physics or chemistry, and with an interest in the physical and chemical properties of 4d- and 5d transition metal oxides, especially ruthenates and iridates. The 4d- and 5d-transition metal oxides are among the most current and interesting quantum materials. This book reviews recent experimental and theoretical evidence that the physical and structural properties of these materials are decisively influenced by strong spin-orbit interactions that compete with comparable Coulomb, magnetic exchange and crystalline electric field interactions. This competition often leads to unusual ground states and magnetic frustration that are unique to this class of materials. Novel coupling between the orbital/lattice and spin degrees of freedom, which seriously challenge current theoretical models and are not addressed by traditional textbooks, are of particular interest, This book also reviews a few techniques for single-crystal growth that are most suitable for the 4d- and 5d-transition metal oxides. The discussion is intended to help fill an existing void in the literature describing relevant synthesis techniques for 4d- and 5d-materials, which is a daunting experimental challenge.

Double Perovskites with Strong Spin-orbit Coupling

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Release : 2016
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Book Synopsis Double Perovskites with Strong Spin-orbit Coupling by : Ashley Megan Cook

Download or read book Double Perovskites with Strong Spin-orbit Coupling written by Ashley Megan Cook. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt: We first present theoretical analysis of powder inelastic neutron scattering experiments in Ba2FeReO6 performed by our experimental collaborators. Ba2FeReO6, a member of the double perovskite family of materials, exhibits half-metallic behavior and high Curie temperatures Tc, making it of interest for spintronics applications. To interpret the experimental data, we develop a local moment model, which incorporates the interaction of Fe spins with spin-orbital locked magnetic moments on Re, and show that it captures the experimental observations. We then develop a tight-binding model of the double perovskite Ba2FeReO6, a room temperature ferrimagnet with correlated and spin-orbit coupled Re t2g electrons moving in the background of Fe moments stabilized by Hundâ s coupling. We show that for such 3d/5d double perovskites, strong correlations on the 5d-element (Re) are essential in driving a half-metallic ground state. Incorporating both strong spin-orbit coupling and the Hubbard repulsion on Re leads to a band structure consistent with ab initio calculations. The uncovered interplay of strong correlations and spin-orbit coupling lends partial support to our previous work, which used a local moment description to capture the spin wave dispersion found in neutron scattering measurements. We then adapt this tight-binding model to study {111}-grown bilayers of half-metallic double perovskites such as Sr2FeMoO6. The combination of spin-orbit coupling, inter-orbital hybridization and symmetry-allowed trigonal distortion leads to a rich phase diagram with tunable ferromagnetic order, topological C=1 and 2 Chern bands, and a C = 2 quantum anomalous Hall insulator regime. We have also performed theoretical analysis of inelastic neutron scattering (INS) experiments to investigate the magnetic excitations in the weakly distorted face-centered-cubic (fcc) iridate double perovskites La2ZnIrO6 and La2MgIrO6. Models with dominant Kitaev exchange seem to most naturally account for the neutron data as well as the measured frustration parameters of these materials, while the uniaxial Ising anisotropy does not. Our findings highlight how even seemingly conventional magnetic orders in oxide materials containing heavy transition metal ions may be driven by highly-directional exchange interactions rooted in strong spin-orbit coupling. Motivated by experiments on the double perovskites La2ZnIrO6 and La2MgIrO6, we lastly study the magnetism of spin-orbit coupled j_{eff} =1/2 iridium moments on the three-dimensional, geometrically frustrated, facecentered cubic lattice. The symmetry-allowed nearest-neighbor interaction includes Heisenberg, Kitaev, and symmetric off-diagonal exchange. A Luttinger-Tisza analysis shows a rich variety of orders, including collinear AII type antiferromagnetism, stripe order with moments along the {111}-direction, and incommensurate non-coplanar spirals, and we use Monte Carlo simulations to determine their magnetic ordering temperatures.

Topological Semimetals

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Release : 2019-04-20
Genre : Technology & Engineering
Kind : eBook
Book Rating : 157/5 ( reviews)

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Book Synopsis Topological Semimetals by : David J. Fisher

Download or read book Topological Semimetals written by David J. Fisher. This book was released on 2019-04-20. Available in PDF, EPUB and Kindle. Book excerpt: Topological semimetals are quantum materials that are not only extremely interesting from a theoretical point of view but also have a great potential for technological applications in which superconducting, semiconducting and other semimetal behaviors are involved. Keywords: Quantum Materials, Macroscopic Quantum Phenomena, Topological Semimetals, Dirac Semimetals, Weyl Semimetals, Nodal-Line Semimetals, Antimony and Antimonides, Antimonene, Arsenides, Bismuthides, Boron, Borides, Borophene, Carbon and Carbides, Chalcogenides, Nitrides, Phosphorus, Phosphides, Silicides, Topological Metals, Topological States of Matter.

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