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High magnetic fields are used to kill superconductivity and probe what happens to system when it cannot reach the ideal ground state, i.e. what is the normal-state ground state? Early work in High-Tc, where the application of magnetic...
In this thesis, we study the entanglement properties of quantum systems to characterize quantum phases and phase transitions. We focus on the free fermion lattice systems and we use numerical calculation to verify our ideas. Behavior of...
Strongly correlated materials are a class of materials that cannot be properly described by the Density Functional Theory (DFT), which is a single-particle approximation to the original many-body electronic Hamiltonian. These systems...
This dissertation is a theoretical and computational examination of electronic properties of topological materials, such as topological insulators and Weyl semimetals. Our work is motivated by various experimental observations and...
We investigate various fundamental aspects of the metal insulator transition (MIT) by employing several theoretical approaches. Describing the novel features of interacting electronic systems remains one of the principle challenges to...
Since the discovery of the exotic properties of graphene, two dimensional materials such as metal chalcogenides, transition metal oxides and other 2D compounds have gained renewed interest. Graphene, silicene, germanene, graphyne and...
We examine two wave function optimization methods for producing the ground state. The first is a novel method for optimizing the location of the nodes of the fermion ground-state using a combination of diffusion Monte Carlo (DMC) and...
Strong electron-electron correlations in physical systems can lead to phenomena that are not trivial composition of constituent parts, that the collective behavior lead to emergence of exotic phases and behaviors. To describe exotic...
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