Abstract
The correct detection of the Berezinskii-Kosterlitz-Thouless (BKT) transition in quasi-two-dimensional superconductors still remains a controversial issue. Its main signatures, indeed, are often at odds with the theoretical expectations. In a recent work (Maccari, I.; Benfatto, L.; Castellani, C. Phys. Rev. B 2017, 96, 060508), we have shown that the presence of spatially correlated disorder plays a key role in this sense because it is the reason underlying the experimentally-observed smearing of the universal superfluid-density jump. In the present paper we closely investigate the effects of correlated disorder on the BKT transition, specifically addressing the issue of whether or not it changes the BKT universality class.
Highlights
Despite its age, the Berezinskii [1]-Kosterlitz and Thouless [2,3] (BKT) transition still constitutes a very active field of research from both an experimental and a theoretical perspective
In the present paper we closely investigate the effects of correlated disorder on the BKT transition, addressing the issue of whether or not it changes the BKT universality class
From the finite-size scaling analysis, we have shown that the presence of disordered couplings with spatial correlations does not change the universality class of the BKT transition, affecting both the critical temperature and the exponential divergence of the correlation length
Summary
The Berezinskii [1]-Kosterlitz and Thouless [2,3] (BKT) transition still constitutes a very active field of research from both an experimental and a theoretical perspective. As reported by several experimental results [8,9,10,11,12,13,14,15,16,17], such a sharp jump at the critical temperature results in being significantly smeared out around TBKT, revealing a smooth downturn definitely broader than what is observed in the case of superfluid helium films [5] This effect is even more dramatic in ultrathin films of cuprate superconductors [21], where the BKT jump is completely lost by underdoping. In the following we will focus, only on the purely 2D case, restricting our attention to the case of thin films, and we refer the reader to [22,26,27] for a discussion on the occurrence of BKT physics in bulk crystals of layered cuprates
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