Unambiguous simulation of diffusive charge transport in disordered nanoribbons
Henrique Pina Veiga, Simão Meneses João, João Manuel Alendouro Pinho, João Pedro Santos Pires, João Manuel Viana Parente Lopes
SciPost Phys. 17, 149 (2024) · published 3 December 2024
- doi: 10.21468/SciPostPhys.17.6.149
- Submissions/Reports
Abstract
Charge transport in disordered two-dimensional (2D) systems showcases a myriad of unique phenomenologies that highlight different aspects of the underlying quantum dynamics. Electrons in such systems undergo a crossover from ballistic propagation to Anderson localization, contingent on the system's effective coherence length. Between the extended and localized phases lies a diffusive crossover in which the charge conductivity is properly defined. The numerical observation of this regime has remained elusive because it requires fully coherent transport to be simulated in systems whose dimensions are sufficiently large to meaningfully split the mean-free path and localization length scales. To address this challenge, we employed a novel linear scaling time-resolved approach that enabled us to derive the dc-transport characteristics and observe the three expected 2D transport regimes — ballistic, diffusive, and localized.
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 Henrique Veiga,
- 1 2 4 Simão Meneses João,
- 1 2 João Manuel Alendouro Pinho,
- 1 2 João Pedro Santos Pires,
- 1 2 João Manuel Viana Parente Lopes
- 1 Universidade do Minho / University of Minho
- 2 Universidade do Porto / University of Porto
- 3 Instituto de Engenharia de Sistemas e Computadores Tecnologia e Ciência / INESC TEC
- 4 Imperial College London
- Engineering and Physical Sciences Research Council [EPSRC]
- Fundação para a Ciência e a Tecnologia (through Organization: Fundação para a Ciência e Tecnologia [FCT])
- Royal Society