by scanning SQUID microscopy*

Unconventional superconductor UTe₂ is a newly-discovered candidate spin-triplet superconductor. A variety of exotic properties have been reported in UTe₂, such as areentrant superconducting phase at high magnetic field, multiple phase transitions in the superconducting state, chiral edge modes, and time-reversal symmetry breaking. In addition, this material is drawing attention as a candidate for a chiral superconductor.  In order to explore multiple superconducting transitions,chiral superconductivity, and particularly the possible chiral edge current in this material, we measured the local magnetic susceptibility and local magnetic flux on single crystals of UTe₂. In this talk, we discuss our results on the inhomogeneity of T_c, the superfluid density at low temperature, and the observation of spontaneous magnetic flux near the edge.