Date of Last Revision
2023-05-03 13:20:46
Major
Physics
Degree Name
Bachelor of Science
Date of Expected Graduation
Spring 2019
Abstract
An expression for the drag transresistivity in a graphene double layer system exhibiting potential fluctuations modelled as a periodic oscillation in electron density is derived. Our model starts from the Coulombic interaction and we derive the correlation between a sinusoidal fluctuation in electron density in the first layer and the induced electron density in the second layer. Previous models in the literature have employed an arbitrary correlation between each layer’s electron density, and the model presented is the first attempt in the literature to explicitly derive this correlation. Recent experiments have found that the drag transresistivity in graphene double layers systems exhibit a sign change as the electron density in the first layer is increased from zero. Our model is able to reproduce this sign change, and is in agreement with experiment. As the amplitude of the fluctuations approaches zero, the model reproduces the result of the uniform case. The model qualitatively agrees with experimental results, but it needs to be further refined to more accurately take into account how electron density fluctuations actually occur in experimental samples.
Research Sponsor
Dr. Ben Yu-Kuang Hu
First Reader
Dr. Robert Mallik
Second Reader
Dr. Sasa Dordevic
Recommended Citation
Bogucki, Ryan, "Modelling Potential Fluctuations in Double Layer Graphene Systems as a Periodic Oscillation in Electron Density & its Effect on Coulomb Drag" (2019). Williams Honors College, Honors Research Projects. 971.
https://ideaexchange.uakron.edu/honors_research_projects/971