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Magnetic properties of type-II superconductors with reduced phase stiffness

F. Horváth, R. Hlubina

DOI 10.1103/PhysRevB.81.134517 · Physical Review B

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Abstract

Motivated by the phenomenology of underdoped cuprates, we study a modified Ginzburg-Landau theory which describes type-II superconductors with reduced phase stiffness. The theory is characterized by three length scales: the penetration depth, λ, the amplitude coherence length, ξ, and the phase coherence length, ξ⊥. Within the modified theory, we solve the single-vortex problem and calculate both, the lower and the upper critical fields Hc1 and Hc2. We also present an approximate calculation of the equilibrium magnetization curve M=M(H). Our results explain the difference in scaling of λ−2 and Hc1 with the doping level in underdoped cuprates. Further experimental tests of our theory are proposed.

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