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Vortex lattice stability in the SO(5) model

M. Juneau·R. MacKenzie·M. -A. Vachon·J. M. Cline
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Abstract

We study the energetics of superconducting vortices in the SO(5) model for high-$T_c$ materials proposed by Zhang. We show that for a wide range of parameters normally corresponding to type II superconductivity, the free energy per unit flux $\FF(m)$ of a vortex with $m$ flux quanta is a decreasing function of $m$, provided the doping is close to its critical value. This implies that the Abrikosov lattice is unstable, a behaviour typical of type I superconductors. For dopings far from the critical value, $\FF(m)$ can become very flat, indicating a less rigid vortex lattice, which would melt at a lower temperature than expected for a BCS superconductor.

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M. Juneau, R. MacKenzie, M. -A. Vachon, J. M. Cline. 2001-06-08. Vortex lattice stability in the SO(5) model. https://doi.org/10.1103/physrevb.65.140512

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