A scenario for the critical fluctuations near the transition of few-bilayer films of high-temperature cuprate superconductors

Abstract

We study the critical fluctuations near the resistive transition of very thin films of high-temperature cuprate superconductors composed of a number $N$ of only a few unit cells of superconducting bilayers. For that, we solve the fluctuation spectrum of a Gaussian-Ginzburg-Landau model for few-bilayers superconductors considering two alternating Josephson interlayer interaction strengths, and we obtain the corresponding paraconductivity above the transition. Then, we extend these calculations to temperatures below the transition through expressions for the Ginzburg number and Kosterlitz--Thouless-like critical region. When compared with previously available data in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ few-bilayers systems, with $N=1$ to $4$, our results seem to provide a plausible scenario for their critical regime.

preprint version with 32 pages, 4 figures, 1 table, 1 appendix

References in corpus (6)

• High-T_c superconductivity in ultrathin Bi_2Sr_2CaCu_2O_8+x down to halfunit-cell thickness by protection with graphene
• Spin Fluctuation Dynamics and Multiband Superconductivity in Iron Pnictides
• Spatially correlated incommensurate lattice modulations in an atomically thin high-temperature Bi_{2.1}Sr_{1.9}CaCu_{2.0}O_{8+δ} superconductors
• Comment on 'Diamagnetism and Cooper pairing above Tc in cuprates'
• Superconductivity and charge carrier localization in ultrathin $\mathbf{L}{\mathbf{a}}_{1.85}\mathbf{S}{\mathbf{r}}_{0.15}\mathbf{Cu}{\mathbf{O}}_4/\mathbf{L}{\mathbf{a}}_2\mathbf{Cu}{\mathbf{O}}_4$ bilayers
• Dimensional crossovers in the Gaussian critical fluctuations above $T_c$ of two-layer and three-layer superconductors

Cited by in corpus (1)

• Superconductivity in Nanosystems: A Fruitful Path to New Phenomenology in Quantum Materials