Robustness of ballistic transport in antidot superlattices

The magneto-resistance of antidot lattices shows pronounced peaks, which became a hallmark of ballistic electron transport. While most studies agree that they reflect the interplay of regular and chaotic motion in the quasi-classical dynamics, the exact mechanism has been surprisingly controversial....

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Bibliographic Details
Published inNew journal of physics Vol. 21; no. 4; pp. 43051 - 43059
Main Authors Datseris, George, Geisel, Theo, Fleischmann, Ragnar
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 30.04.2019
Subjects
Antidots
Electron transport
energy conservation
Graphene
Kac's lemma
Lattices
measure theory
nonlinear resonance
Physics
Robustness
Superlattices
Transport phenomena
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Summary:The magneto-resistance of antidot lattices shows pronounced peaks, which became a hallmark of ballistic electron transport. While most studies agree that they reflect the interplay of regular and chaotic motion in the quasi-classical dynamics, the exact mechanism has been surprisingly controversial. Inspired by recent experiments on graphene antidot lattices showing that the effect survives strong impurity scattering, we give a new explanation of the peaks linked to a fundamental relation between collision times and accessible phase space volumes, accounting for their robustness. Due to the fundamental nature of the mechanism described it will be relevant in many mesoscopic transport phenomena.
Bibliography:NJP-110003.R1
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/ab19cc