Disorder-free weak dynamic localization in deformable lattices. (21st August 2018)

• Record Type: Journal Article
• Authors: Savin, Alexander V; Kivshar, Yuri S; Molina, Mario I
• Is Part Of: Journal of physics. Volume 30:Number 37(2018)
• Publication Date: 2018-08-21
• Subjects: electron transport -- phonons -- electron–phonon interaction -- Anderson localization; Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/1361-648X/aad7d5
• Languages: English
• ISSNs: 0953-8984

Abstract

Abstract: We study the electron transport in a deformable lattice modeled in the semiclassical approximation as a discrete nonlinear elastic chain where acoustic phonons are in thermal equilibrium at temperature T . We reveal that an effective dynamic disorder induced in the system due to thermalized phonons is not strong enough to produce Anderson localization. However, for weak nonlinearity we observe a transition between ballistic (low T ) and diffusive (high T ) regimes, while for strong nonlinearity the transition occurs between the localized soliton (low T ) and diffusive (high T ) regimes. Thus, the electron–phonon interaction results in weak temperature-dependent dynamic localization.