Vortex entropy and superconducting fluctuations in ultrathin underdoped Bi_2Sr_2CaCu_2O_8+x superconductor
arxiv(2024)
Abstract
Vortices in superconductors can help identify emergent phenomena but certain
fundamental aspects of vortices, such as their entropy, remain poorly
understood. Here, we study the vortex entropy in underdoped
Bi_2Sr_2CaCu_2O_8+x by measuring both magneto-resistivity and Nernst
effect on ultrathin flakes (≤2 unit-cell). We extract the London
penetration depth from the magneto-transport measurements on samples with
different doping levels. It reveals that the superfluid phase stiffness
ρ_s scales linearly with the superconducting transition temperature T_c,
down to the extremely underdoped case. On the same batch of ultrathin flakes,
we measure the Nernst effect via on-chip thermometry. Together, we obtain the
vortex entropy and find that it decays exponentially with T_c or ρ_s. We
further analyze the Nernst signal above T_c in the framework of Gaussian
superconducting fluctuations. The combination of electrical and thermoelectric
measurements in the two-dimensional limit provides fresh insight into high
temperature superconductivity.
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