Magnetic skyrmions are topologically stable nanoscale particlelike objects that were
discovered in 2009. Since that time, intense research interest in the field has led to the …

We review the depinning and nonequilibrium phases of collectively interacting particle
systems driven over random or periodic substrates. This type of system is relevant to vortices …

This review is dedicated to summarizing the recent research on vortex dynamics and
pinning effects in superconducting films with artificial magnetic structures. The fabrication of …

We theoretically study the real-space distribution of the supercurrent that flows under a
uniform vector potential in a two-dimensional quasiperiodic structure. This is done by …

Conformal crystals are nonuniform structures created by a conformal transformation of
regular two-dimensional lattices. We show that gradient-driven vortices interacting with a …

The maximum current (critical current) a type-II superconductor can transmit without energy
loss is limited by the motion of the quantized magnetic flux penetrating into a …

We numerically study the physical properties of quasiperiodic superconductors with the aim
of understanding superconductivity in quasicrystals. Considering the attractive Hubbard …

We experimentally investigate the structural behavior of an interacting colloidal monolayer
being driven across a decagonal quasiperiodic potential landscape created by an optical …

We show how vortices that support Majorana fermions when placed on a periodic pinning
array can be used for vortex exchange and independent braiding by performing a series of …

In realistic situations, a typical scenario for applications of type II superconductors
necessarily includes vortices, usually in the presence of currents. Under these …