54 citations · 145 across the 6 of their papers we have counts for
6 papers
Bound states in the Brillouin zone continuum
Max D. Porter, Aaron Barr, Ariel Barr +1
Systems with space-periodic Hamiltonians have unique scattering properties. The discrete translational symmetry associated with periodicity of the Hamiltonian creates scattering ch…
Analogue of Hamilton-Jacobi theory for the time-evolution operator
Michael Vogl, Pontus Laurell, Aaron D. Barr +1
In this paper we develop an analogue of Hamilton-Jacobi theory for the time-evolution operator of a quantum many-particle system. The theory offers a useful approach to develop app…
Floquet Hofstadter Butterfly on the Kagome and Triangular Lattices
Liang Du, Qi Chen, Aaron D. Barr +2
In this work we use Floquet theory to theoretically study the influence of monochromatic circularly and linearly polarized light on the Hofstadter butterfly---induced by a uniform…
A flow equation approach to periodically driven quantum systems
Michael Vogl, Pontus Laurell, Aaron D. Barr +1
We present a theoretical method to generate a highly accurate {\em time-independent} Hamiltonian governing the finite-time behavior of a time-periodic system. The method exploits i…
Floquet topological transitions in extended Kane-Mele models with disorder
Liang Du, Paul D. Schnase, Aaron D. Barr +2
In this work we use Floquet theory to theoretically study the influence of circularly polarized light on disordered two-dimensional models exhibiting topological transitions. We fi…
Disorder effects in correlated topological insulators
Hsiang-Hsuan Hung, Aaron Barr, Emil Prodan +1
Using exact diagonalization and quantum Monte Carlo calculations we investigate the effects of disorder on the phase diagram of both non-interacting and interacting models of two-d…