Browsing by Author "Pavez, Benjamin"

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    Perfect conductor and mu-metal enhancement of effects in electromagnetic fields over single emitters near topological insulators
    (2024) Dvorquez, Eitan; Pavez, Benjamin; Sun, Qiang; Pinto, Felipe; Greentree, Andrew D.; Gibson, Brant C.; Maze, Jeronimo R.
    We focus on the transmission and reflection coefficients of light in systems involving topological insulators (TIs). Due to the electromagnetic coupling in TIs, new mixing coefficients emerge, leading to new components of the electromagnetic fields of propagating waves. We have discovered a simple heterostructure that provides a 100-fold enhancement of the mixing coefficients for TI materials. Such effect depends on the TI's wave impedance and the selected material for the sublayer. We also predict a transverse deviation of the Poynting vector due to these mixed coefficients contributing to the radiative electromagnetic field of an electric dipole. Given an optimal configuration of the dipole-TI system, this deviation could amount to 0.28% of the Poynting vector due to emission near nontopological materials, making this effect detectable.
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    Tunneling Estimates for Two-Dimensional Perturbed Magnetic Dirac Systems
    (2024) Cardenas, Esteban; Pavez, Benjamin; Stockmeyer, Edgardo
    We prove tunneling estimates for two-dimensional Dirac systems which are localized in space due to the presence of a magnetic field. The Hamiltonian driving the motion admits the decomposition H=H0+W\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ H = H_0 + W$$\end{document}, where H0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$H_0 $$\end{document} is a rotationally symmetric magnetic Dirac operator and W is a position-dependent matrix-valued potential satisfying certain smoothness condition in the angular variable. A consequence of our results are upper bounds for the growth in time of the expected size of the system and its total angular momentum.