Magnetotransport in a perturbed periodic antidot superlattice

Autor:	Kraemer, Atahualpa S., Sosa, Alan Rodrigo Mendoza
Rok vydání:	2019
Předmět:	Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
Popis:	We study a 2-dimensional model for an antidot periodic superlattice with perturbed positions of the antidots. To do so we use a quasiperiodic LG model obtained from a 3-dimensional billiard model. Our results show that infinite drifting trajectories present in the periodic antidot models disappear, but if the perturbation is small enough, those trajectories remain for long times. The probability to visit the region of the phase space where electrons have ballistic behavior tends to $0$ as the length of the drifting trajectories tends to infinity, leading to separation of these regions in phase space. As a result, we infer that the particles follow Levy walks and the system has superdiffusive behavior for short times. The superdiffusive exponent is correlated to the length of time where the superdiffusive behavior is present. Comment: 5 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1906.03665 Zobrazit plný text záznamu View this record from Arxiv