Physics – Condensed Matter – Superconductivity
Scientific paper
2004-01-30
Physics
Condensed Matter
Superconductivity
4 pages, submitted to Physical Review 21 November 2003
Scientific paper
We calculate the superconducting phase diagram as a function of temperature and z-axis anisotropy in a model for tetragonal and cubic systems having strong antiferromagnetic fluctuations. The formal basis for our calculations is the fluctuation exchange approximation (FLEX) applied to the single-band Hubbard model near half-filling. For nearly cubic lattices, two superconducting phase transitions are observed as a function of temperature with the low-temperature state having the time-reversal symmetry-breaking form, $d_{x^2 - y^2} \pm id_{3z^2 -r^2}$. With increasing tetragonal distortion the time-reversal-symmetry-breaking phase is suppressed giving way to only $d_{x^2 - y^2}$ or $d_{3z^2 -r^2}$ single-component phases. Based on these results, we propose that CeIn$_3$ is a candidate for exhibiting a time-reversal symmetry-breaking superconducting state.
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