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

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.

References in corpus (12)

• Bulk superconducting phase with a full energy gap in the doped topological insulator Cu_xBi_2Se_3
• Enhancement of superconductivity near a nematic quantum critical point
• Are non-Fermi-liquids stable to Cooper pairing?
• Odd-parity topological superconductor with nematic order: Application to CuxBi2Se3
• Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
• A parity-breaking electronic nematic phase transition in the spin-orbit coupled metal Cd${}_2$Re${}_2$O${}_7$
• A Gapless Symmetry-Protected Topological Phase of Fermions in One Dimension
• Topological States in a One-Dimensional Fermi Gas with Attractive Interactions
• Interplay between antiferrodistortive, ferroelectric and superconducting instabilities in Sr_{1-x}Ca_{x}$TiO_{3-δ}
• Interaction-driven topological superconductivity in one dimension
• From classical to quantum criticality
• Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson

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• Low-Temperature Phase of the Cd${}_2$Re${}_2$O${}_7$ Superconductor: Ab initio Phonon Calculations and Raman Scattering
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