arXiv:2002.05065cond-mat.mes-hall
Imaging the breakdown of ohmic transport in graphene
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Abstract
Ohm's law describes the proportionality of current density and electric field. In solid-state conductors, Ohm's law emerges due to electron scattering processes that relax the electrical current. Here, we use nitrogen-vacancy center magnetometry to directly image the local breakdown of Ohm's law in a narrow constriction fabricated in a high mobility graphene monolayer. Ohmic flow is visible at room temperature as current concentration on the constriction edges, with flow profiles entirely determined by sample geometry. However, as the temperature is lowered below 200 K, the current concentrates near the constriction center. The change in the flow pattern is consistent with a crossover from diffusive to viscous electron transport dominated by electron-electron scattering processes that do not relax current.
Complete article pdf is available on the arxiv server: https://arxiv.org/abs/2202.02798 Helpful background article "Imaging the breakdown of ohmic transport in graphene" (Jenkins et al. 2020) https://arxiv.org/abs/2002.05065 > "Ohm’s law states that the current flow through an…
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