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Main Title: Control of electron and electron–hole pair dynamics on nonlinear lattice bilayers by strong solitons
Author(s): Chetverikov, Alexander P.
Ebeling, Werner
Schöll, Eckehard
Velarde, Manuel G.
Type: Article
Abstract: We consider the dynamics of electrons and holes moving in two-dimensional lattice layers and bilayers. As an example, we study triangular lattices with units interacting via anharmonic Morse potentials and investigate the dynamics of excess electrons and electron–hole pairs according to the Schrödinger equation in the tight binding approximation. We show that when single-site lattice solitons or M-solitons are excited in one of the layers, those lattice deformations are capable of trapping excess electrons or electron–hole pairs, thus forming quasiparticle compounds moving approximately with the velocity of the solitons. We study the temporal and spatial nonlinear dynamical evolution of localized excitations on coupled triangular double layers. Furthermore, we find that the motion of electrons or electron–hole pairs on a bilayer is slaved by solitons. By case studies of the dynamics of charges bound to solitons, we demonstrate that the slaving effect may be exploited for controlling the motion of the electrons and holes in lattice layers, including also bosonic electron–hole–soliton compounds in lattice bilayers, which represent a novel form of quasiparticles.
Subject(s): quasiparticle
Schrodinger equations
soliton solutions
stochastic processes
probability theory
interatomic potentials
tight-binding model
self assembly
transport properties
Issue Date: 2021
Date Available: 22-Dec-2021
Language Code: en
DDC Class: 530 Physik
Sponsor/Funder: DFG, 163436311, Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepte
Journal Title: Chaos : an interdisciplinary journal of nonlinear science
Publisher: AIP Publishing
Volume: 31
Issue: 8
Article Number: 83123
Publisher DOI: 10.1063/5.0057084
EISSN: 1089-7682
ISSN: 1054-1500
Notes: This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in: Chetverikov, A. P., Ebeling, W., Schöll, E., & Velarde, M. G. (2021). Control of electron and electron–hole pair dynamics on nonlinear lattice bilayers by strong solitons. In Chaos: An Interdisciplinary Journal of Nonlinear Science (Vol. 31, Issue 8, p. 083123). AIP Publishing. and may be found at
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Theoretische Physik » FG Nichtlineare Dynamik und Kontrolle
Appears in Collections:Technische Universität Berlin » Publications

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