  Synthetic ladders realized with one-dimensional alkaline-earth(-like)
fermionic gases and subject to a gauge field represent a promising environment
for the investigation of quantum Hall physics with ultracold atoms. Using
density-matrix renormalization group calculations, we study how the quantum
Hall-like chiral edge currents are affected by repulsive atom-atom
interactions. We relate the properties of such currents to the asymmetry of the
spin resolved momentum distribution function, a quantity which is easily
addressable in state-of-art experiments. We show that repulsive interactions
significantly stabilize the quantum Hall-like helical region and enhance the
chiral currents. Our numerical simulations are performed for atoms with two and
three internal spin states.
