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2017 ; 7
(1
): 1780
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Exploring nonlinear topological states of matter with exciton-polaritons: Edge
solitons in kagome lattice
#MMPMID28496151
Gulevich DR
; Yudin D
; Skryabin DV
; Iorsh IV
; Shelykh IA
Sci Rep
2017[May]; 7
(1
): 1780
PMID28496151
show ga
Matter in nontrivial topological phase possesses unique properties, such as
support of unidirectional edge modes on its interface. It is the existence of
such modes which is responsible for the wonderful properties of a topological
insulator - material which is insulating in the bulk but conducting on its
surface, along with many of its recently proposed photonic and polaritonic
analogues. We show that exciton-polariton fluid in a nontrivial topological phase
in kagome lattice, supports nonlinear excitations in the form of solitons built
up from wavepackets of topological edge modes - topological edge solitons. Our
theoretical and numerical results indicate the appearance of bright, dark and
grey solitons dwelling in the vicinity of the boundary of a lattice strip. In a
parabolic region of the dispersion the solitons can be described by envelope
functions satisfying the nonlinear Schrödinger equation. Upon collision, multiple
topological edge solitons emerge undistorted, which proves them to be true
solitons as opposed to solitary waves for which such requirement is waived.
Importantly, kagome lattice supports topological edge mode with zero group
velocity unlike other types of truncated lattices. This gives a finer control
over soliton velocity which can take both positive and negative values depending
on the choice of forming it topological edge modes.