“…For superconducting strips of width W, this minimum is separated with the Bean-Livingston barriers from the edges of the strip and is first established when magnetic field exceeds the threshold value, i.e., B 0 ∼ πΦ 0 4W 2 (28)(29)(30). This prediction holds for superconducting strips (31) but qualitatively (up to a numerical factor of the order of unity) is also correct for the squared zero-dimensional (0D) confinements that are studied below (32). The presented model also predicts that the trapped vortex can be expelled from the nanostructure by application of the pulse of electrical current, which tilts the potential energy and removes the local energy minimum: Because of the Lorentz force, the vortex is pushed to the side of the square, and, eventually, it escapes out of the sample (Fig.…”