Nernst effect and diamagnetism in phase fluctuating superconductors

Abstract

When a superconductor is warmed above its critical temperature $T_c$, long range order is destroyed by fluctuations in the order parameter. These fluctuations can be probed by measurements of conductivity, diamagnetism, and of the Nernst effect. Here, we study a regime where superconductivity is destroyed by phase fluctuations arising from a dilute liquid of mobile vortices. We find that the Nernst effect and diamagnetic response differ significantly from Gaussian fluctuations -- in particular, a much sharper decay with temperature is obtained. We predict a rapid onset of Nernst signal at a temperature T${}_{\mathrm{onset}}$ that tracks $T_c$, rather than the pairing temperature. We also predict a close quantitative connection with diamagnetism -- the ratio of magnetization to transverse thermoelectric conductivity ${\alpha }_{xy}$ reaches a universal value at high temperatures. We interpret Nernst effect measurements on the underdoped cuprates in terms of a dilute vortex liquid over a wide temperature range above $T_c$.

4 pages, 4 figures; (v2) acknowledgments added

References in corpus (12)

• The Nernst effect in high-$T_c$ superconductors
• Vanishing of phase coherence in underdoped Bi_2Sr_2CaCu_2O_8+d
• The Unusual Superconducting State of Underdoped Cuprates
• Thermoelectric Response of an Interacting Two-Dimensional Electron Gas in Quantizing Magnetic Field
• Field-enhanced diamagnetism in intense magnetic field in the pseudogap state of the cuprate $\rm Bi_2Sr_2CaCu_2O_{8+δ}
• Gaussian superconducting fluctuations, thermal transport, and the Nernst effect
• Observation of the Nernst signal generated by fluctuating Cooper pairs
• Giant Nernst effect in a Kondo lattice close to a quantum critical point
• Two New Vortex Liquids
• Nernst effect in the vortex-liquid regime of a type-II superconductor
• On the magnetization of two-dimensional superconductors
• Staggered flux vortices and the superconducting transition in the layered cuprates

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