Dynamics of one electron in a nonlinear disordered chain

被引:13
作者
de Moura, F. A. B. F. [1 ]
Caetano, R. A. [1 ]
Santos, B. [2 ]
机构
[1] Univ Fed Alagoas, Inst Fis, BR-57072970 Maceio, AL, Brazil
[2] Observ Nacl, BR-20921400 Rio De Janeiro, RJ, Brazil
关键词
ANDERSON LOCALIZATION; TIME EVOLUTION; SOLITONS; ABSENCE; WAVES;
D O I
10.1088/0953-8984/24/24/245401
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
In this paper we report new numerical results on the disordered Schrodinger equation with nonlinear hopping. By using a classical harmonic Hamiltonian and the Su-Schrieffer-Heeger approximation we write an effective Schrodinger equation. This model with off-diagonal nonlinearity allows us to study the interaction of one electron and acoustical phonons. We solve the effective Schrodinger equation with nonlinear hopping for an initially localized wavepacket by using a predictor-corrector Adams-Bashforth-Moulton method. Our results indicate that the nonlinear off-diagonal term can promote a long-time subdiffusive regime similar to that observed in models with diagonal nonlinearity.
引用
收藏
页数:5
相关论文
共 50 条
[21]   Electronic dynamics under effect of a nonlinear Morse interaction and a static electric field [J].
Neto, A. Ranciaro ;
de Moura, F. A. B. F. .
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2016, 40 :6-14
[22]   Wave-packet spreading in the disordered and nonlinear Su-Schrieffer-Heeger chain [J].
Manda, Bertin Many ;
Achilleos, Vassos ;
Richoux, Olivier ;
Skokos, Charalampos ;
Theocharis, Georgios .
PHYSICAL REVIEW B, 2023, 107 (18)
[23]   Bifurcations of nonlinear localized modes in disordered lattices [J].
Efremidis, Nikolaos K. .
PHYSICAL REVIEW A, 2009, 79 (06)
[24]   Transport, correlations, and chaos in a classical disordered anharmonic chain [J].
Kumar, Manoj ;
Kundu, Anupam ;
Kulkarni, Manas ;
Huse, David A. ;
Dhar, Abhishek .
PHYSICAL REVIEW E, 2020, 102 (02)
[25]   Wave-Packet Dynamics in Nonlinear Disordered Chains under the Effect of Acoustic Waves [J].
Sales, Messias de Oliveira ;
Neto, Adhemar Ranciaro ;
Barros Fidelis de Moura, Francisco Anacleto .
PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 2018, 255 (12)
[26]   Scaling properties of weak chaos in nonlinear disordered lattices [J].
Pikovsky, Arkady ;
Fishman, Shmuel .
PHYSICAL REVIEW E, 2011, 83 (02)
[27]   Delocalization of phonons and energy spectrum in disordered nonlinear systems [J].
Akaberian, M. ;
Jafari, S. ;
Tabar, M. R. Rahimi ;
Esfarjani, K. .
PHYSICAL REVIEW B, 2020, 101 (22)
[28]   Speckle Instability: Coherent Effects in Nonlinear Disordered Media [J].
Gremaud, Benoit ;
Wellens, Thomas .
PHYSICAL REVIEW LETTERS, 2010, 104 (13)
[29]   GEOMETRICALLY INDUCED NONLINEAR DYNAMICS IN ONE-DIMENSIONAL LATTICES [J].
Hamilton, M. ;
Bonfim, O. F. De Alcantara .
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2008, 18 (08) :2471-2476
[30]   Nonlinear dynamics of a quasi-one-dimensional spiral structure [J].
Kiselev V.V. ;
Rascovalov A.A. .
Bulletin of the Russian Academy of Sciences: Physics, 2014, 78 (02) :85-87