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We propose a scheme to investigate the interplay between Kondo-exchangeinteraction and quantum spin Hall effect with ultracold fermionicalkaline-earth atoms trapped in two-dimensional optical lattices usingultracold collision and laser-assisted tunneling. In the strong Kondo-couplingregime, though the loop trajectory of the mobile atom disappears, collectivedynamics of an atom pair in two clock states can exhibit an unexpectedspin-dependent cyclotron orbit in a plaquette, realizing the quantum spin Halleffect of the Kondo singlet. We demonstrate that the collective cyclotrondynamics of the spin-zero Kondo singlet is governed by an effectiveHarper-Hofstadter model in addition to second-order diagonal tunneling.

Cyclotron Dynamics of a Kondo Singlet in a Spin-Orbit-Coupled Alkaline-Earth Atomic Gas