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arXiv · 1609.09084

Odd-parity superconductivity near inversion breaking quantum critical point in one dimension

Jonathan Ruhman·Vladyslav Kozii·Liang Fu
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Abstract

We study how an inversion-breaking quantum critical point affects the ground state of a one-dimensional electronic liquid with repulsive interaction and spin-orbit coupling. We find that regardless of the interaction strength, the critical fluctuations always lead to a gap in the electronic spin-sector. The origin of the gap is a two-particle backscattering process, which becomes relevant due to renormalization of the Luttinger parameter near the critical point. The resulting spin-gapped state is a one-dimensional version of spin triplet superconductivity. Interestingly, in the case of a ferromagnetic critical point the Luttinger parameter is renormalized in the opposite manner, such that the system remains non-superconducting.

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Jonathan Ruhman, Vladyslav Kozii, Liang Fu. 2017-05-26. Odd-parity superconductivity near inversion breaking quantum critical point in one dimension. https://doi.org/10.1103/physrevlett.118.227001

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