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We report the magnetic field-amplitude and field-angle dependence of thesuperconducting onset temperature Tc_onset of the organic superconductor(TMTSF)2ClO4 in magnetic fields H accurately aligned to the conductive ab'plane. We revealed that the rapid increase of the onset fields at lowtemperatures occurs both for H // b' and H // a, irrespective of the carrierconfinement. Moreover, in the vicinity of the Pauli limiting field, we report ashift of a principal axis of the in-plane field-angle dependence of Tc_onsetaway from the b' axis. This feature may be related to an occurrence ofFulde-Ferrell-Larkin-Ovchinnikov phases.

Anomalous In-Plane Anisotropy of the Onset of Superconductivity in (TMTSF)2ClO4