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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.
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.