Abstract
We develop a nonlinear theory of the electronic transport in superconductors in the framework of the time-dependent Ginzburg-Landau (TDGL) equation. We utilize self-consistent Gaussian approximation and reveal the conditions under which the current-voltage V(I) dependence (I–V characteristics) acquires an S-shape form leading to switching instabilities. We demonstrate that in two-dimensions the emergence of such an instability is a hallmark of the Berezinskii-Kosterlitz-Thouless (BKT) transition that we have detected by transport measurements of titanium nitride (TiN) films. Our theoretical findings compare favorably with our experimental results.
Original language | English |
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Article number | 14104 |
Pages (from-to) | 14104 |
Number of pages | 7 |
Journal | Scientific Reports |
Volume | 8 |
Issue number | 1 |
DOIs | |
Publication status | Published - 20 Sep 2018 |
Keywords
- CONDUCTIVITY
- COVARIANT GAUSSIAN APPROXIMATION
- II SUPERCONDUCTORS
- MAGNETIC-FIELD
- STATE
- THIN-FILMS
- TRANSITION