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Emergent Gapless Fermions in Strongly-Correlated Phases of Matter and Quantum Critical Points
States with gapless degrees of freedom are typically more complicated and less well- understood than systems possessing a gap. In this thesis, we study strongly-correlated systems described by gapless fermions. In most of ...
Channel Length Scaling in Microwave Graphene Field Effect Transistors
In order to operate at microwave frequencies and higher, the channel length of a field effect transistor must be made very short ($\sim25$nm at 1THz) to minimize input capacitance and the drift time of carriers through the ...
Transport and Symmetry Breaking in Strongly Correlated Systems With Topological Order
This thesis is devoted to the study of strongly correlated phases of quantum matter in two spatial dimensions. In presence of strong interactions, the electron can split up into separate spin and charge degrees of freedom. ...
Designing singularities in electronic dispersions
This dissertation is devoted to the study of singularities in electronic dispersions and their implications for electronic systems. First, we consider two-dimensional interacting electrons at a monkey saddle with dispersion ...
Universal non-local observables at quantum critical points
This dissertation is devoted to the study of universal observables in quantum critical systems, most of which have a non-local character. The overarching goal of this work is to compute new universal observables of critical ...
Quantum Dynamics of Strongly Interacting Many-Body Systems
Recent advances in coherent manipulation and control have led to new opportunities to study non-equilibrium dynamics in quantum many-body systems. Using a variety of experimental platforms ranging from cold atoms and ions ...