Division of Physical and Mathematical Sciences
Recent Submissions
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Some results on beta ensembles and on scaling limits of random graphs
This thesis is divided into two main parts, each of which can be studied independently of the other. The first part is devoted to the study of beta ensembles (β-ensembles). The main theme in β-ensembles, in this thesis, ... -
Machine-Learning-Based investigations in Complex Systems: Droplet Coalescence, Ising-type models, and Mathematical Models for Cardiac Tissue
The importance of artificial intelligence and data driven machine learning is growing exponentially in time as are its applications in investigations of complex phenomena in, e.g., climate-systems science, fluid flows, ... -
Exploring Scalar-Tensor Theories of Gravity in Light of Tensions and Anomalies in Standard Cosmology
The $\Lambda$CDM model, the standard model of cosmology, has been highly successful in describing a wide range of cosmological observations. However, in the era of precision cosmology, it faces increasing challenges in the ... -
Thermal one point functions in large $N$ vector models and holography
This thesis develops analytic methods to evaluate thermal one point functions in holography and a class of conformal field theories(CFT) described by large $N$ vector models. For planar charged black holes in $AdS_{d+1}$ ... -
Positivity properties of the deformed Hermitian-Yang--Mills and related equations
In the first part of the talk, we briefly introduce the deformed Hermitian-Yang-Mills (dHYM) equation and discuss a result regarding the solvability of the twisted dHYM equation on compact Kähler three-folds with slightly ... -
Investigating Magnetic Transitions and the Quantum Spin Liquid State in Complex Oxides
Magnetic properties emerge from the interplay of spin, crystal structures, and external factors such as temperature, magnetic fields, and pressure, resulting in a diverse range of magnetic phenomena with potential applications ... -
Growth, synthesis, structure, properties and fluorination of barium bismuthate and related oxides
This thesis presents a comprehensive study on the synthesis and characterizations of bismuthates, particularly focussing on BaBiO3 and its fluorinated variants, alongside the exploration of strongly correlated oxides such ... -
Probing Accretion Geometries of X-ray Pulsars using Cyclotron Resonant Scattering Features
Cyclotron Resonant Scattering Features (CRSFs) appear as absorption-like features in the hard X-ray spectra of accretion-powered pulsars and provide a direct measure of neutron star magnetic fields. Their correlation or ... -
Polarized Light Based Photoacoustics for Deep-Tissue Chiral Biomolecular Sensing
Sensing methodologies are indispensable for detecting and quantifying physical, chemical, and biological parameters with precision, especially for biomedical applications. These techniques enable early disease detection, ... -
Structure, thermodynamics and dielectric properties of water under nanoscale confinement and search for reversible phase change of methanol in astrochemical conditions
This thesis majorly explores the intricate structural, dynamical, and dielectric characteristics of monolayer water and other organic molecules under strong confinement and astrochemical condition. Water molecules ... -
In-Line Diagnostics for Inkjet Printed Electronics
The development of solution processed thin film circuits involves various process stages. One of the key parameters that decides the performance of the circuit is the semiconductor-insulator interface and the quality of ... -
Water Quality Monitoring Using Fibre Bragg Grating Sensors
The quality of water is an important factor in human health, ecosystem balance, and sustainable development. The growing presence of contaminants such as heavy metals and bio-pathogens in water bodies poses significant ... -
Aspects of low-dimensional quantum systems in and out-of-equilibrium
The classification of novel phases of matter beyond the Landau paradigm has been comprehensively explored over the past decade. In this context, one-dimensional quantum systems are particularly promising, as they host ... -
Induced p-wave superconductivity in a dual topological insulator BiTe and unconventional superconductivity in a magnetic topological insulator MnBi2Te4
The discovery of topological insulators (TI) and semimetals has led to a whole new world of low-energy electronic devices that enable dissipationless transport through their highly spin-orbit coupled conducting channels. ... -
Spin-structure driven Topological properties in Weyl Semimetallic Pyrochlore Iridates: Structural and Magnetotransport studies
Over the past decade, topological magnetic materials have captivated the scientific community, spurring extensive research into their unique properties. In this thesis, we explore pyrochlore iridates RE2Ir2O7 (where RE ... -
Monolayer MoS2-based heterostructure devices on Silicon and Flexible Substrates
This work presents a comprehensive study of MoS2-based field-effect transistors (FETs), investigating three key aspects: hysteresis effects, asymmetric I-V characteristics, and piezoelectric properties. Through an exploration ... -
Ultrafast Spectroscopy of Quantum Materials at High Pressure and Low Temperatures
The photo-induced carrier dynamics using ultrafast spectroscopy provides insights into understanding of electron-electron interactions, electron-phonon interactions, quasiparticle formation, carriers recombination, trapping ... -
Twist Angle Dependent Phononic and Photoluminescence Properties of Twisted Bilayer Heterostructures
This thesis presents research work on twisted bilayer graphene (t-BLG) and twisted tungsten diselenide (t-WSe2) using various measurement techniques. Since the isolation of graphene in 2004, two-dimensional (2D) materials ... -
Symmetry broken collective electronic phenomena in perovskite titanates
According to Landau’s theory, the organizing principle for understanding phase transitions is rooted in the change in a system’s underlying symmetry, which is quantitatively captured by the order parameter. In strongly ... -
Exploring the Fractional Quantum Hall Effect and Electron-Electron Interactions in ABA Trilayer Graphene through Electric Fields
Since the discovery of graphene (a single sheet of carbon atoms) in 2004, the field has expanded with groundbreaking discoveries like the Quantum Hall effect, correlated phenomena, superconductivity, and ferromagnetism. ...