Oxide materials, including perovskite oxides, are well known for hosting a range of properties, such as ferroelectricity and superconductivity, which are significant for both fundamental understanding and technological applications. The interplay among structural, orbital, charge, and spin factors in these oxides provides a platform for studying and manipulating material properties that can be incorporated into devices for daily life, scientific studies, and industry. This motivation drives the development of atomic-level understanding of the phenomena exhibited by oxide materials, helping in the formulation of design principles to achieve desired properties. In this dissertation, I will explore different properties, including ferroelectricity, piezoelectricity, and magnetism, exhibited by various oxide materials with complex crystal structures through first principles density functional theory calculations and group theoretic arguments.
Layered perovskites are structures formed by the rearrangement of perovskite structures, with other structural layers interspersed between them. Various families of layered perovskite oxide ferroelectrics demonstrate a coupling between polarization and structural order parameters, particularly involving octahedral rotation distortions. The Aurivillius-phase oxides SrBi2B2O9 (B=Ta, Nb) are recognized for exhibiting such order-parameter couplings and are renowned for their excellent room temperature ferroelectric performance. After providing a brief introduction to the physics of layered oxides in Chapter 1 and the theoretical methods used in our research in Chapter 2, I will discuss the results of our calculations which explore the ferroelectric switching processes of SrBi2B2O9 to identify low-energy switching paths in Chapter 3. This chapter also elucidates the roles of coupled order parameters in determining the complex ferroelectric domain structure in SrBi2 B2 O9.
Non-polar structural distortions, like octahedral rotations, present additional degrees of freedom for manipulating ferroelectric properties in Aurivillius phases compared to traditional ferroelectrics such as BaTiO3 and PbTiO3. In Chapter 4, the results of first-principles calculations on the Aurivillius-phase oxide Bi2WO6 are explored. The chapter elucidates the ferroelectric switching mechanism and inves- tigates the coupling of electrical polarization with the isolated spin of a magnetic dopant (Fe3+) in Bi2WO6. It details the change in spin directionality along the ferroelectric switching pathways and emphasizes the roles of crystalline symmetry in such coupling.
In addition to demonstrating geometry-driven ferroelectricity, layered perovskites like Ruddlesden-Popper phases also exhibit piezoelectricity. However, there has been minimal study of piezoelectricity in Ruddlesden-Popper phases. Chapter 5 will highlight our efforts to establish a microscopic understanding of piezoelectricity by exploring the roles of the interplay between strain and structural distortions on piezoelectric coefficients in representative Ruddlesden-Popper phases, including Ca3Ti2O7, Sr3Zr2O7, and Sr3Sn2O7.
Some layered oxides host intriguing phenomena like frustrated magnetism together with the ferroelectricity. Recent experiments have highlighted the rare earth oxide TbInO3 for its simultaneous manifestation of improper ferroelectricity and frustrated magnetism, making it a potential spin liquid candidate material of interest to the materials science and physics communities. While spin liquids are anticipated to exhibit superconductivity upon suitable doping, the influence of doping on the electrical conductivity of TbInO3 remains an open question. Chapter 6 will unveil the outcomes of our investigations into the doping effect in hexagonal TbInO3. The dissertation will wrap up with a concise exploration of future directions in Chapter 7.