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We create laterally large and low disorder quantum well based quantum dots tostudy single electron additions to two dimensional electron systems (2DES).Electrons tunnel into these dots across an AlGaAs tunnel barrier from a single$n+$ electrode. Using single-electron capacitance spectroscopy in a dilutionrefrigerator, we identify capacitance peaks for the addition of the firstelectron to a dot and record subsequent peaks in the addition spectrum up tooccupancies of thousands of electrons. Here, we report two remarkable phenomenathat occur in the filling factor range $\nu=2$ to $\nu=5$ while selectivelyprobing electron additions to the edge states of the dot: (1) Coulomb blockadepeaks arise from the entrance of two electrons rather than one; (2) at and nearfilling factor 5/2 and at fixed gate voltage, these double-height peaks appearuniformly with a periodicity of $h/2e$. At other filling factors in the range$\nu=2$ to $\nu=5$, the mean periodicity for the twice-height electron peaksremains $h/2e$, but the twice-height peaks are instead further bunched intopairs of double-height peaks, with pairs spaced $h/e$ apart. The unusualtwo-electron Coulomb blockade peaks suggest a novel pair tunneling effect thatinvolves electron correlations that arise in the quantum dot, with spectra at$\nu=5/2$ identical to those previously only seen in superconducting dots.

Correlated double-electron additions at the edge of a two-dimensional electronic system