Viscous current flow through a small contact in two-dimensional systems: Theory and experiment
Phys. Rev. B 114, 065424 – Published 23 July, 2026
DOI: https://doi.org/10.1103/nzck-lgn9
Abstract
The current through a small contact between two 2D regions is theoretically studied. The electron gas viscosity that arises due to electron-electron and electron-impurity scattering is considered. It is found the electron flow corresponds to the ideal Fermi-liquid model rather than the ideal gas one at strong viscosity. It is shown that an electron density inhomogeneity results in the finite contact resistance of the almost ideal flow of the electron gas. The temperature dependence of the resistance is found. The agreement between theory and experiment is discussed.
