Tuning the Ground State of Pyrochlore Oxides Using Chemical Pressure

Tuning the Ground State of Pyrochlore Oxides Using Chemical Pressure
Author: Prachi Telang
Publisher: Mohammed Abdul Sattar
Total Pages: 0
Release: 2024-02-05
Genre: Technology & Engineering
ISBN:

Download Tuning the Ground State of Pyrochlore Oxides Using Chemical Pressure Book in PDF, Epub and Kindle

Phase transitions and new phases of matter have continued to challenge our understanding of the quantum condensed matter systems. For decades, phase transitions were thought to be facilitated by the breaking of some symmetry. For example, magnetic ordering emerges due to breaking of the time-reversal symmetry; the crystallization of water into ice, on the other hand, involves broken translational symmetry. This paradigm, however, was challenged with the discovery of topological order in some condensed matter systems in the year 1982. Since then many electronic phases with novel topologies have been predicted theoretically and few have also been realized experimentally. Examples of these electronic phases, across the research frontier, span from graphene to the topological insulators and beyond. Still, several theoretical predictions of various novel topological phases are yet to be realized experimentally. Due to this reason, significant efforts are concentrated around materials with strong spin-orbit interaction, which provide a fertile ground for experimental realization of novel topological phases. Much of condensed matter is about how different kinds of order emerge from inter- actions between many simple constituents. An ideal example of this is the family of transition metal oxides (TMOs) where a plethora of novel phenomena such as high-TC superconductivity, colossal magnetoresistance, and metal-insulator transitions could be observed as a result of the complex interplay of various electronic interactions such as electron correlations, crystal field splitting and spin-orbit coupling. The magnitude of these interactions depends on a number of factors like the atomic number of the transition metal, underlying crystal geometry, ligand environment around the transition metal, etc. Understanding the interplay of these interactions which ultimately decides the ground state is one of the fundamental problems in condensed matter physics. Failure of band theory to explain the insulating ground state in TMOs highlighted the importance of electron-electron interactions. In TMOs, the conduction is driven by d- orbitals which are spatially compact when compared to the s- or p-orbitals in simple metals. This results in strong Coulomb repulsion between the d electrons of TMOs. The transition from metallic to insulating state due to strong electron correlations was successfully modelled theoretically via Hubbard model given by John Hubbard.

Physics of Spin-Orbit-Coupled Oxides

Physics of Spin-Orbit-Coupled Oxides
Author: Gang Cao
Publisher: Oxford University Press
Total Pages: 202
Release: 2021
Genre: Science
ISBN: 0199602026

Download Physics of Spin-Orbit-Coupled Oxides Book in PDF, Epub and Kindle

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.

Spin-orbit Coupling and Strong Interactions in the Quantum Hall Regime

Spin-orbit Coupling and Strong Interactions in the Quantum Hall Regime
Author: Daniel Hernangomez Perez
Publisher:
Total Pages: 0
Release: 2014
Genre:
ISBN:

Download Spin-orbit Coupling and Strong Interactions in the Quantum Hall Regime Book in PDF, Epub and Kindle

The quantum Hall effect, appearing in disordered two-dimensional electron gases under strong perpendicular magnetic fields and low temperatures, has been a subject of intense research during the last thirty years due to its very spectacular macroscopic quantum transport properties. In this thesis, we expand the theoretical horizon by analytically considering the effects of spin-orbit coupling and strong electron-electron interaction in these systems.In the first part of the manuscript, we examine the simultaneous effect of Rashba spin-orbit and Zeeman interaction in the integer quantum Hall regime. Under these conditions, we extend a coherent-state vortex Green's function formalism to take into account the coupling between orbital and spin degrees of freedom within the electronic drift states. As a first application of this framework, we analytically compute controlled microscopic nonperturbative quantum functionals, such as the energy spectrum and the local density of states, in arbitrary locally flat electrostatic potential landscapes, which are then analyzed in detail in different temperature regimes and compared to scanning tunnelling experimental data. As a second application, we thoroughly study local equilibrium charge and spin transport properties and derive analytical useful formulas which incorporate the mixed non-relativistic and relativistic character of Rashba-coupled electron gases.In the second part of this thesis, we deal with the problem of analytically incorporating strong electron-electron interactions in the fractional quantum Hall regime. To this purpose, we consider a generalized two-body problem where both disorder and correlations are combined and introduce a new vortex coherent-state representation of the two-body states that naturally include long-range correlations between the electrons. The novelty of this theory is that correlations are topologically built in through the non-Euclidean metric of the Hilbert space. Next, we show that this kind of vortex states form a basis of an enlarged Hilbert space and derive the equation of motion for the Green's function in this representation. Finally, we check the consistency of our approach for any Landau level of the pair and discuss the necessity of going beyond the semiclassical (infinite magnetic field) approximation to obtain energy gaps within each energy level.

Topics in Two-dimensional Systems with Spin-orbit Interaction

Topics in Two-dimensional Systems with Spin-orbit Interaction
Author: Mario Francisco Borunda Bermudez
Publisher:
Total Pages:
Release: 2010
Genre:
ISBN:

Download Topics in Two-dimensional Systems with Spin-orbit Interaction Book in PDF, Epub and Kindle

This dissertation focuses on the study of spin-dependent transport in systems with strong spin-orbit coupling within their band structure. In particular we focus on the anomalous Hall effect, the spin Hall effect, and the Aharonov-Casher effect whose origins, are linked to the presence of spin-orbit coupling. Given the theoretical controversy surrounding these effects we further simplify our studies to semiconductor systems where the band structure is much simpler than in metallic systems with heavy elements. To obtain finite analytical results we focus on reduced dimensions (two and one dimensions) which can be explored experimentally. To set the stage, we discuss the origins of the strong spin-orbit coupling in semiconductors deriving the effective interaction from the Dirac equation. We discuss in detail the skew scattering contribution to the anomalous Hall effect in two-dimensional systems, which is dominant for systems with low impurity concentrations, and find that it is reduced when the two chiral subbands are partially occupied in an electron gas and vanishes for a hole gas, regardless of the band filling. We also present calculations for all contributing mechanisms. We propose a device to test this prediction and study the crossover from the intrinsic to the extrinsic anomalous Hall effect. We calculate all contributions to the anomalous Hall effect in electron systems using the Kubo-Streda formalism. We find that all contributions vanish when both subbands are occupied and that the skew scattering contribution dominates when only the majority subband is occupied. We calculate the interference effects due to spin-orbit interaction in mesoscopic ring structures patterned from HgTe quantum wells related to the Aharonov-Casher effect and the spin Hall effect. We find that the transport properties are affected by the carrier density as well as the spin orbit interaction. We find that the conductivity is larger in hole gas systems. We also show that devices with inhomogenous spin orbit interaction exhibit an electrically controlled spin-flipping mechanism.

Spin-orbit Coupling in Molecules

Spin-orbit Coupling in Molecules
Author: William Graham Richards
Publisher: Oxford University Press, USA
Total Pages: 126
Release: 1981
Genre: Molecular orbitals
ISBN:

Download Spin-orbit Coupling in Molecules Book in PDF, Epub and Kindle

Chemical Abstracts

Chemical Abstracts
Author:
Publisher:
Total Pages: 2598
Release: 1990
Genre: Chemical abstracts
ISBN:

Download Chemical Abstracts Book in PDF, Epub and Kindle

Strong Lattice Correlation of Non-equilibrium Quasiparticles in a Pseudospin-1/2 Mott Insulator Sr2IrO4

Strong Lattice Correlation of Non-equilibrium Quasiparticles in a Pseudospin-1/2 Mott Insulator Sr2IrO4
Author:
Publisher:
Total Pages:
Release: 2016
Genre:
ISBN:

Download Strong Lattice Correlation of Non-equilibrium Quasiparticles in a Pseudospin-1/2 Mott Insulator Sr2IrO4 Book in PDF, Epub and Kindle

In correlated oxides the coupling of quasiparticles to other degrees of freedom such as spin and lattice plays critical roles in the emergence of symmetry-breaking quantum ordered states such as high temperature superconductivity. We report a strong lattice coupling of photon-induced quasiparticles in spin-orbital coupling Mott insulator Sr2IrO4 probed via optical excitation. Combining time-resolved x-ray diffraction and optical spectroscopy techniques, we reconstruct a spatiotemporal map of the diffusion of these quasiparticles. Lastly, due to the unique electronic configuration of the quasiparticles, the strong lattice correlation is unexpected but extends the similarity between Sr2IrO4 and cuprates to a new dimension of electron-phonon coupling which persists under highly non-equilibrium conditions.