Spontaneous breaking of time-reversal symmetry in the pseudogap state of a high-T-c superconductor

A change in `symmetry' is often observed when matter undergoes a phase transition-the symmetry is said to be spontaneously broken. The transition made by underdoped high-transition-temperature (high-T-c) superconductors is unusual, in that it is not a mean-field transition as seen in other superconductors. Rather, there is a region in the phase diagram above the superconducting transition temperature T-c (where phase coherence and superconductivity begin) but below a characteristic temperature T{*} where a `pseudogap' appears in the spectrum of electronic excitations(1,2). It is therefore important to establish if T{*} is just a cross-over temperature arising from fluctuations in the order parameter that will establish superconductivity at T-c (refs 3, 4), or if it marks a phase transition where symmetry is spontaneously broken(5-10). Here we report that, for a material in the pseudogap state, left-circularly polarized photons give a different photocurrent from right-circularly polarized photons. This shows that time-reversal symmetry is spontaneously broken(11) below T{*}, which therefore corresponds to a phase transition.