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Berezinskii-Kosterlitz-Thouless transition with enhanced phase stiffness in d-wave strongly coupled two-dimensional superconductors

2025/11/20 by Paramasivam, Sathish Kumar, Perali, Andrea, Milošević, Milorad V.
#FOS: Physical sciences #Superconductivity (cond-mat.supr-con)

paper · doi:10.48550/arxiv.2511.16385

Abstract

We reveal the key role of the d-wave symmetry of the superconducting gap in strongly coupled two-dimensional superconductors in determining the properties of the Berezinskii-Kosterlitz-Thouless (BKT) transition, associated with a sizable enhancement of the phase stiffness compared to nodeless-gap superconductors. The enhanced stiffness originates from extended regions of vanishing gap around the nodal lines of the Brillouin zone (BZ). Our study, based on mean-field and BKT theory, presents a comparative analysis of s-wave and d-wave scenarios, highlighting the features of the latter that boost the stiffness and the BKT transition temperature (TBKT). The comparison focuses on two quantities: the mean-field critical temperature and the maximum superconducting gap related to the pairing strengths. We present a phase diagram showing the scaling of TBKT with respect to the mean-field critical temperature across the BCS-BEC crossover and the evolution of the pseudogap. We also present a zero-temperature phase-stiffness intensity map over the Brillouin zone, displaying a two-component structure consisting of low- and high-stiffness regions whose extent depends on microscopic parameters. These results identify the nodal gap structure of strongly coupled two-dimensional superconductors as a key mechanism enabling enhanced stiffness and elevated TBKT compared to their s-wave counterparts.

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