Quantum criticality in coupled hybrid metal-semiconductor islands

We show that the combined effects of dynamical Coulomb blockade and integer quantum Hall effect in a coupled hybrid metal-semiconductor setup provide a pathway for realizing resonant tunneling in Luttinger liquids with interaction strength η≤ 1/2. We explore emergent quantum criticality, charge fractionalization and transport in such a hybrid setup, and verify their robust non-Fermi liquid behaviors. We also present a method to implement 1/2<η<1 within the same hybrid setup. Our work opens a promising route for quantum simulating exotic zero temperature quantum critical phenomena associated with Luttinger liquid physics in a nanoengineered electronic circuit with well-defined quantum Hall channels.