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We investigate the thermodynamic properties of FeSe under the in-planemagnetic fields using torque magnetometry, specific heat, magnetocaloricmeasurements. Below the upper critical field Hc2, we observed the field-inducedanomalies at H1 ~ 15 T and H2 ~ 22 T near H//ab and below a characteristictemperature T* ~ 2 K. The transition magnetic fields H1 and H2 exhibitnegligible dependence on both temperature and field orientation. This contrastswith the strong temperature and angle dependence of Hc2, suggesting that theseanomalies are attributed to the field-induced phase transitions, originatingfrom the inherent spin-density-wave instability of quasiparticles near thesuperconducting gap minima or possible Flude-Ferrell-Larkin-Ovchinnikov statein the highly spin-polarized Fermi surfaces. Our observations imply that FeSe,an atypical multiband superconductor with extremely small Fermi energies,represents a unique model system for stabilizing unusual superconducting ordersbeyond the Pauli limit.

Observation of the in-plane magnetic field-induced phase transitions in FeSe