1999/10/03 by A. V. Lopatin · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Critical field #Diamagnetism #Magnetic field #Magnetic moment #Materials science #Meissner effect #Paramagnetism #Phase (matter) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Spin glass #Superconductivity #Theoretical and Computational Physics #cond-mat.supr-con
paper · pdf · doi:10.1209/epl/i2000-00385-6
3 pages, no figures
arxiv created 1999/10/03 · openalex publication_date 2000/09/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
We consider a disordered superconducting film in a magnetic field close to the upper critical field. Assuming that the phase transition to the glassy superconducting state exists and that it is second order, we show that it is exactly described by a zero-dimensional replica model having the same form as one that describes the phase transition in the SK (Sherrington-Kirkpatrick) spin-glass model. The dependence of the magnetic moment on the external magnetic field is shown to be smoother than the Abrikosov mean-field result for the clean case. While the total magnetic moment of the film close to the phase transition is diamagnetic, its part emerging due to the phase transition is shown to be paramagnetic, which agrees with experiments on Nb superconducting films.