VDM Chunyin, Q: Phase Slip Fluctuations in Low-Dimensional Super

The superconductivity in low-dimensional superconductors has been of theoretical and experimental interest for nearly half a century. According to the Mermin-Wagner theorem, superconducting long-range order can not be stabilized in strictly low-dimensional systems at any finite temperature. But how exactly is the superconductivity extinguished in such reduced systems? In general, the phase slip picture is used to describe the current dissipation process. An analytic solution can be found from the famous LAMH theory. However, the theory is only suitable for the perfect one-dimensional superconducting wire systems. As a supplementary, in the book we introduce a powerful numerical tool, i.e., the string method, to numerically study such phase slip events. In particular, the systems out of the scope of the LAMH theory are studied in details.