Electrically controlled superconducting states at the heterointerface SrTiO$_3$/LaAlO$_3$

Details Electrically controlled superconducting states at the heterointerface SrTiO$_3$/LaAlO$_3$ Electrically controlled superconducting states at the heterointerface SrTiO$_3$/LaAlO$_3$

2009-09-02

arxiv.org/abs/0909.0373v2

Phys. Rev. B 80, 140509(R) (2009)

Physics

Condensed Matter

Superconductivity

4 pages, 4 figures; added references

Scientific paper

10.1103/PhysRevB.80.140509

We study the symmetry of Cooper pair in a two-dimensional Hubbard model with the Rashba-type spin-orbit interaction as a minimal model of electron gas generated at a heterointerface of SrTiO$_3$/LaAlO$_3$. Solving the Eliashberg equation based on the third-order perturbation theory, we find that the gap function consists of the mixing of the spin-singlet $d_{xy}$-wave component and the spin-triplet $(p_x\pm ip_y)$-wave one due to the broken inversion symmetry originating from the Rashba-type spin-orbit interaction. The ratio of the d-wave and the p-wave component continuously changes with the carrier concentration. We propose that the pairing symmetry is controlled by tuning the gate voltage.

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