Magneto-optical Detection of Altermagnetism in Organic Antiferromagnet

We measured the magneto-optical Kerr effect in an orthorhombic organic antiferromagnet kappa-(BEDT-TTF)2Cu[N(CN)2]Cl, which is a candidate for altermagnets. From the Maxwell equations, we obtained formulae describing the optical phenomena of propagation and reflection for general crystals even with off-diagonal responses. These formulae enabled us to correctly measure and obtain the off-diagonal optical responses from the organic antiferromagnet, which appeared at around the N\'eel temperature and exhibited a nonlinear field dependence in the antiferromagnetic phase. The obtained off-diagonal optical conductivity spectra for almost entire \pi-electron band clearly shows the energy scale of spin band splitting, importance of the collinear antiferromagnetic spin ordering, and anisotropic diagonal transfers in relation to the piezomagnetic effect, which are essential for altermagnets.