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A path integral Monte Carlo investigation of the role of defects in ordered 4He systems has been conducted. We find that interstitial defects in two- and three-dimensional solid 4He can lead to a small but non-zero superfluid fraction, ...
In this thesis we have combined the idea of cluster expansion and path integration to develop the quantum version of cluster and virial expansion. We derive a diagrammatic series expansion for different thermodynamic quantities like free...
This dissertation is a theoretical and computational examination of structural, electronic and magnetic properties of complex transition metal oxide structures. Our work is motivated by experimental observations that transition metal...
This dissertation examines the theoretical and computational methods needed to calcu- late opto-electronic multiple-carrier excitation rates in strongly correlated insulators (SCI). Through several studies, we find that we are able to...
We have studied the nematic state of the two dimensional electron gas (2DEG) at halffilled Landau level (LL). Our motivation comes from experiments in which anisotropic transport in the 2DEG under high magnetic field and at low...
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...
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...
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