Correlated transport of electrons on helium through a gate-defined island

Field-effect control of low-dimensional electron systems in nanoscale devices has enabled the exploration of a wide variety of mesoscopic quantum phenomena in semiconductors such as the quantized electrical conductance produced by Coulomb blockade effects. In contrast to semiconductor systems, electrons trapped at the boundary of a liquid helium-vacuum interface realize a non-degenerate two-dimensional electron system with ultra-high mobility and unique mesoscopic transport behavior when subjected to microchannel confinement. Here we report on the transport behavior of strongly-interacting liquid and solid states of electrons on helium through a controllable electron-island gate. Our results reveal the effect of Coulomb interaction-induced correlations in each phase as the electrons are transported through the island/constriction.