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The specific heat of the layered organic superconductor $\kappa$-%(BEDT-TTF)$_2$Cu(NCS)$_2$, where BEDT-TTF is bisethylenedithio-%tetrathiafulvalene, has been studied in magnetic fields up to 28 T appliedperpendicular and parallel to the superconducting layers. In parallel fieldsabove 21 T, the superconducting transition becomes first order, which signalsthat the Pauli-limiting field is reached. Instead of saturating at this fieldvalue, the upper critical field increases sharply and a second first-ordertransition line appears within the superconducting phase. Our results givestrong evidence that the phase, which separates the homogeneous superconductingstate from the normal state is a realization of aFulde-Ferrell-Larkin-Ovchinnikov state.

physical review letters

Calorimetric Evidence for a Fulde-Ferrell-Larkin-Ovchinnikov  Superconducting State in the Layered Organic Superconductor  \kappa$-(BEDT-TTF)$_2$Cu(NCS)$_2$