Quantum diffusion in the lowest Landau level of disordered graphene
- Electronic transport in the lowest Landau level of disordered graphene sheets placed in a homogeneous perpendicular magnetic field is a long-standing and cumbersome problem which defies a conclusive solution for several years. Because the modeled system lacks an intrinsic small parameter, the theoretical picture is infested with singularities and anomalies. We propose an analytical approach to the conductivity based on the analysis of the diffusive processes, and we calculate the density of states, the diffusion coefficient and the static conductivity. The obtained results are not only interesting from the purely theoretical point of view but have a practical significance as well, especially for the development of the novel high-precision calibration devices.
Author: | Andreas SinnerORCiDGND, Gregor Tkachov |
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URN: | urn:nbn:de:bvb:384-opus4-959182 |
Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/95918 |
ISSN: | 2079-4991OPAC |
Parent Title (English): | Nanomaterials |
Publisher: | MDPI |
Type: | Article |
Language: | English |
Date of first Publication: | 2022/05/14 |
Publishing Institution: | Universität Augsburg |
Release Date: | 2022/06/08 |
Tag: | low-dimensional semimetals; electronic transport in graphene; quantum hall effect |
Volume: | 12 |
Issue: | 10 |
First Page: | 1675 |
DOI: | https://doi.org/10.3390/nano12101675 |
Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik | |
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Physik / Lehrstuhl für Theoretische Physik II | |
Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik |
Licence (German): | CC-BY 4.0: Creative Commons: Namensnennung (mit Print on Demand) |