Doping dependence of the vortex-core energy in bilayer films of cuprates

Abstract

The energy needed to create a vortex core is the basic ingredient to address the physics of thermal vortex fluctuations in underdoped cuprates. Here we theoretically investigate its role on the occurrence of the Beresinskii-Kosterlitz-Thouless transition in a bilayer film with inhomogeneity. From the comparison with recent measurements of the penetration depth in two-unit cell thin films of Y${}_{1-x}$Ca${}_x$Ba${}_2$Cu${}_3$O$_{7-\d}$ (YBCO) by Hetel et al. [Nat. Phys. 3, 700 (2007)] we can extract the value of the vortex-core energy $\mu$, and show that $\mu$ scales linearly with $T_c$ at low doping.

4pages, 3 figures. References added, final version

References in corpus (7)

• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Quantum critical behaviour in the superfluid density of strongly underdoped ultrathin cuprate films
• Kosterlitz-Thouless behavior in layered superconductors: the role of the vortex-core energy
• Electric field effect modulation of transition temperature, mobile carrier density and in-plane penetration depth in NdBa2Cu3O(7-delta) thin films
• Electrostatic Modulation of the Superfluid Density in a Ultrathin La2-xSrxCuO4 Film
• Sine-Gordon description of Beresinskii-Kosterlitz-Thouless physics at finite magnetic field
• Competition between Vortex Unbinding and Tunneling in an Optical Lattice

Cited by in corpus (10)

• Redistribution of phase fluctuations in a periodically driven cuprate superconductor
• Slowing down of vortex motion in thin NbN films near the superconductor-insulator transition
• Oscillating paramagnetic Meissner effect and Berezinskii-Kosterlitz-Thouless transition in $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+\delta }$ monolayer
• Probing the Berezinskii-Kosterlitz-Thouless vortex unbinding transition in two-dimensional superconductors using local noise magnetometry
• Superfluid response of an atomically thin, gate-tuned van der Waals superconductor
• Signatures of thermally excited vortices in a superconductor with competing orders
• Approaching two-dimensional superconductivity in ultrathin DyBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Anomalous superfluid density in a disordered charge density wave material: Pd-intercalated ErTe${}_3$
• Calculations of some doping nanostructurations and patterns improving the functionality of high-temperature superconductors for bolometer device applications
• Effects of forward disorder on quasi-1D superconductors