Odd-Parity Superconductivity near an Inversion Breaking Quantum Critical Point in One Dimension

Ruhman, Jonathan; Kozii, Vladyslav; Fu, Liang

doi:10.1103/PhysRevLett.118.227001

Title: Odd-Parity Superconductivity near an Inversion Breaking Quantum Critical Point in One Dimension

Journal Article · Wed May 31 04:00:00 UTC 2017 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.118.227001 · OSTI ID:1424923

Ruhman, Jonathan ^[1]; Kozii, Vladyslav ^[2]; Fu, Liang ^[2]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Department of Physics; Massachusetts Institute of Technology
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Department of Physics

In this work, 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 topological and can be considered as a one-dimensional version of a spin-triplet superconductor. Interestingly, in the case of a ferromagnetic critical point, the Luttinger parameter is renormalized in the opposite manner, such that the system remains nonsuperconducting.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

Grant/Contract Number:: SC0010526

OSTI ID:: 1424923

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 22 Vol. 118; ISSN 0031-9007; ISSN PRLTAO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Weak-pairing higher order topological superconductors Wang, Yuxuan; Lin, Mao; Hughes, Taylor L. Physical Review B, Vol. 98, Issue 16 https://doi.org/10.1103/physrevb.98.165144	journal	October 2018
Weak-Pairing Higher Order Topological Superconductors Wang, Yuxuan; Lin, Mao; Hughes, Taylor L. arXiv https://doi.org/10.48550/arxiv.1804.01531	text	January 2018

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