Affiliation:
1. Department of Mathematics, ETH Zürich, Rämistrasse 101, Zurich CH-8092, Switzerland
Abstract
We prove the possibility of achieving unidirectional edge modes in time-modulated supercell structures. Such finite structures consist of two trimers repeated periodically. Because of their symmetry, they admit degenerate edge eigenspaces. When the trimers are time-modulated with two opposite orientations, the degenerate eigenspace splits into two one-dimensional eigenspaces described by an analytical formula, each corresponding to a mode which is localized at one edge of the structure. Our results on the localization and stability of these edge modes with respect to fluctuations in the time-modulation amplitude are illustrated by several numerical simulations.
Funder
Swiss National Science Foundation
Subject
General Physics and Astronomy,General Engineering,General Mathematics
Cited by
2 articles.
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