Magnetization, Nernst effect and vorticity in the cuprates

Abstract

Nernst and magnetization experiments reveal the existence of a large region of the cuprate phase diagram above the $T_c$ curve in which vorticity and weak diamagnetism exist without phase coherence. We discuss the implication that the transition at $T_c$ is caused by the loss of long-range phase coherence caused by spontaneous vortex creation. Below $T_c$, these measurements provide an estimate of the depairing field $H_{c2}$ which is found to be very large (40-100 T depending on doping). We discuss the high-field Nernst and magnetization results, binding energy, and the phase diagram of hole-doped cuprates. Some new magnetization results on the vortex liquid in very underdoped LSCO in the limit $T\to 0$ are reported as well.

Symposium talk, Int. Conf. Magnetism Kyoto 2006, 6.3 pages, 7 figures

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• Key issues in theories of high temperature superconductors
• Multiple quantum oscillation frequencies in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\delta }$ and bilayer splitting
• Numerical Studies of Quantum Oscillations in the Superconducting vortex mixed state
• Logarithmic Upturn in Low-Temperature Electronic Transport as a Signature of d-Wave Order in Cuprate Superconductors
• Cuprates and center vortices: A QCD confinement mechanism in a high-Tc context