Publications (16)
Strong Coupling Expansion of the Extended Hubbard Model with Spin-Orbit Coupling
Aaron Farrell, T. Pereg-Barnea
We study the strong coupling limit of the extended Hubbard model in two dimensions. The model consists of hopping, on-site interaction, nearest-neighbor interaction, spin-orbit cou…
Quasiparticle Interference Patterns in a Topological Superconductor
Aaron Farrell, Maxime Beaudry, M. Franz +1
In light of recent proposals to realize a topological superconductor on the surface of strong topological insulators, we study impurity and vortex scattering in two dimensional top…
Zeeman field induced non-trivial topology in a spin-orbit coupled superconductor
Aaron Farrell, T. Pereg-Barnea
The hope to realize Majorana fermions at the vortex core of a two dimensional topological superconductor has led to a variety of proposals for devices which exhibit topological sup…
Edge State Transport in Floquet Topological Insulators
Aaron Farrell, T. Pereg-Barnea
Floquet topological insulators are systems in which the topology emerges out of equilibrium when a time periodic perturbation is applied. In these systems one can define quasi-ener…
Photon Inhibited Topological Transport in Quantum Well Heterostructures
Aaron Farrell, T. Pereg-Barnea
Here we provide a picture of transport in quantum well heterostructures with a periodic driving field in terms of a probabilistic occupation of the topologically protected edge sta…
s-wave scattering and the zero-range limit of the finite square well in arbitrary dimensions
Aaron Farrell, Brandon P. van Zyl
We examine the zero-range limit of the finite square well in arbitrary dimensions through a systematic analysis of the reduced, s-wave two-body time-independent Schrödinger equati…