Super-geometric electron focusing on the hexagonal Fermi surface of PdCoO<sub>2</sub>.

Bachmann, Maja D; Sharpe, Aaron L; Barnard, Arthur W; Putzke, Carsten; König, Markus; Khim, Seunghyun; Goldhaber-Gordon, David; Mackenzie, Andrew P et al. · Nat Commun · 2019

basic_science · Level V

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Abstract

Geometric electron optics may be implemented in solids when electron transport is ballistic on the length scale of a device. Currently, this is realized mainly in 2D materials characterized by circular Fermi surfaces. Here we demonstrate that the nearly perfectly hexagonal Fermi surface of PdCoO<sub>2</sub> gives rise to highly directional ballistic transport. We probe this directional ballistic regime in a single crystal of PdCoO<sub>2</sub> by use of focused ion beam (FIB) micro-machining, defining crystalline ballistic circuits with features as small as 250 nm. The peculiar hexagonal Fermi surface naturally leads to enhanced electron self-focusing effects in a magnetic field compared to circular Fermi surfaces. This super-geometric focusing can be quantitatively predicted for arbitrary device geometry, based on the hexagonal cyclotron orbits appearing in this material. These results suggest a novel class of ballistic electronic devices exploiting the unique transport characteristics of strongly faceted Fermi surfaces.