39 citations · 187 across the 15 of their papers we have counts for
15 papers
Topological Boundary States and the Edge Chain in Semi-Infinite Two-Dimensional Insulators
Ilya Iakoub, Nicolas Levasseur, Richard MacKenzie
We show that it is possible to compute the adiabatically protected edge and corner states of semi-infinite, two-dimensional, topological insulators by considering the first layer o…
Bulk-Boundary Correspondence in Semi-Infinite Chains from Sublattice Zeros
Ilya Iakoub, Nicolas Levasseur, Kylian Lionnet +1
We provide an alternative derivation of the bulk-boundary correspondence for semi-infinite chains. To describe edge states, we analytically continue the usual Bloch Hamiltonian to…
Optimizing adiabaticity in quantum mechanics
R. MacKenzie, M. Pineault, L. Renaud-Desjardins
A condition on the Hamiltonian of a time-dependent quantum mechanical system is derived which, if satisfied, implies optimal adiabaticity (defined below). The condition is expresse…
Phase transitions in a gas of anyons
R. MacKenzie, F. Nebia-Rahal, M. B. Paranjape +1
We continue our numerical Monte Carlo simulation of a gas of closed loops on a 3 dimensional lattice, however now in the presence of a topological term added to the action correspo…
Validity of the Adiabatic Approximation
R. MacKenzie, A. Morin-Duchesne, H. Paquette +1
We analyze the validity of the adiabatic approximation, and in particular the reliability of what has been called the "standard criterion" for validity of this approximation. Recen…
Q-balls in Maxwell-Chern-Simons theory
M. Deshaies-Jacques, R. MacKenzie
We examine the energetics of Q-balls in Maxwell-Chern-Simons theory in two space dimensions. Whereas gauged Q-balls are unallowed in this dimension in the absence of a Chern-Simons…