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The Leggett mode associated with out-of-phase oscillations of superconductingphase in multi-band superconductors usually is heavy due to the interbandcoupling, which makes its excitation and detection difficult. We report on theexistence of a massless Leggett mode in three-band superconductors withtime-reversal-symmetry-breaking (TRSB). The mass of the Leggett mode is smallclose to the TRSB transition and vanishes at the transition point, and thuslocates within the smallest superconducting energy gap, which makes it stableand detectable. The mass of the Leggett mode can be measured by Ramanspectroscopy. The thermodynamic consequences of this massless mode and possiblerealization in iron-based superconductors are also discussed.

Massless Leggett Mode in Three-band Superconductors with Time-Reversal-Symmetry Breaking