Phase transition in the cuprates from a magnetic-field-free stiffness meter viewpoint.

Kapon, Itzik; Salman, Zaher; Mangel, Itay; Prokscha, Thomas; Gavish, Nir; Keren, Amit · Nat Commun · 2019

basic_science · Level V

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Abstract

A method to measure the superconducting (SC) stiffness tensor [Formula: see text], without subjecting the sample to external magnetic field, is applied to La<sub>1.875</sub>Sr<sub>0.125</sub>CuO<sub>4</sub>. The method is based on the London equation [Formula: see text], where J is the current density and A is the vector potential which is applied in the SC state. Using rotor free A and measuring J via the magnetic moment of superconducting rings, [Formula: see text] at T → T<sub>c</sub> is extracted. The technique is sensitive to very small stiffnesses (penetration depths on the order of a few millimeters). The method is applied to two different rings: one with the current running only in the CuO<sub>2</sub> planes, and another where the current must cross planes. We find different transition temperatures for the two rings, namely, there is a temperature range with two-dimensional stiffness. Additional low energy muon spin rotation measurements on the same sample determine the stiffness anisotropy at T < T<sub>c</sub>.