The main focus of Heiblum’s research is the quantum behavior of electrons in high-purity mesoscopic materials, and especially the quantum Hall effect (QHE) regime. Noteworthy highlights of the research done by him and his group are "novel electronic interferometers – demonstrating one-electron and two-electron interference; which-path detectors – allowing to turn 'on and off' electrons’ coherence; detection of fractional charges via sensitive shot noise measurements; and observation of quantized heat flow in the fractional abelian and non-abelian states in the QHE regime."