2011/03/15 by N. Cotón, Noelia Coton, M. V. Ramallo +3 · 11 citations
Materials Science · Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Amplitude #Coherence length #Condensed matter physics #Critical exponent #Current (fluid) #Electronic and Structural Properties of Oxides #Exponent #Gaussian #Geometry #Kosterlitz–Thouless transition #Materials science #Mathematics #Optics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Planar #Plane (geometry) #Quantum mechanics #Superconducting coherence length #Superconductivity #Thermodynamics #Transition temperature #cond-mat.supr-con
paper · pdf · doi:10.1088/0953-2048/24/8/085013
published in Superconductor Science and Technology 24(8), 085013 (IOP Publishing) · 18 pages; pdfLaTeX; 1 TeX file + 8 PDF files for figures (figs.1,2,3a,3b,4,5a,5b,6)
arxiv created 2011/03/15 · openalex publication_date 2011/07/01 · arxiv updated 2015/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We analyze numerically how the voltage–current ( V –I ) characteristics near the so-called Berezinskii–Kosterlitz–Thouless (BKT) transition of 2D superconductors are affected by a Gaussian distribution of critical temperature inhomogeneities, randomly located in space and with long characteristic lengths (much larger than the in-plane superconducting coherence length amplitude). Our simulations allow us to quantify the broadening around the average BKT transition temperature of both the exponent α in and of the resistance V / I . These calculations reveal that strong spatial redistributions of the local current will occur around the transition as either I or the temperature T are varied. Our results also support that the condition α = 3 provides a good estimate for the location of the average BKT transition temperature , and that extrapolating to the α( T ) behavior well below the transition provides a good estimate for the average mean-field critical temperature .