Long-Range Topological Objects in Systems with Asymmetric Potentials

Long-range topological objects can exist in many physical systems, and they can tunnel through very wide barriers. Thus, the propagation of long-range kink-like objects through disordered media can be extremely enhanced. When the potential is asymmetric, the long-range kink-like excitations can enter a regime of superpropagation, where, essentially, they can move through almost any disordered medium. We believe these phenomena can find applications in macroscopic quantum technologies (including robust qubits), energy devices for energy harvesting and storage, and high-Tc superconductivity in hydrides. We expect that many of these results can be generalized to other topological objects, e.g., fluxons, domain walls, skyrmions, topological defects, stripes, textures, dislocations in crystals, strings, monopoles, instantons, vortices, and spiral waves.