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

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.
Authors:
 [1] ;  [1] ;  [1]
  1. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Department of Physics
Publication Date:
Grant/Contract Number:
SC0010526
Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 118; Journal Issue: 22; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Research Org:
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Sponsoring Org:
USDOE Office of Science (SC); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Quantum criticality; superconductivity; topological materials; topological superconductors; unconventional superconductors
OSTI Identifier:
1424923
Alternate Identifier(s):
OSTI ID: 1361004

Ruhman, Jonathan, Kozii, Vladyslav, and Fu, Liang. Odd-Parity Superconductivity near an Inversion Breaking Quantum Critical Point in One Dimension. United States: N. p., Web. doi:10.1103/PhysRevLett.118.227001.
Ruhman, Jonathan, Kozii, Vladyslav, & Fu, Liang. Odd-Parity Superconductivity near an Inversion Breaking Quantum Critical Point in One Dimension. United States. doi:10.1103/PhysRevLett.118.227001.
Ruhman, Jonathan, Kozii, Vladyslav, and Fu, Liang. 2017. "Odd-Parity Superconductivity near an Inversion Breaking Quantum Critical Point in One Dimension". United States. doi:10.1103/PhysRevLett.118.227001. https://www.osti.gov/servlets/purl/1424923.
@article{osti_1424923,
title = {Odd-Parity Superconductivity near an Inversion Breaking Quantum Critical Point in One Dimension},
author = {Ruhman, Jonathan and Kozii, Vladyslav and Fu, Liang},
abstractNote = {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.},
doi = {10.1103/PhysRevLett.118.227001},
journal = {Physical Review Letters},
number = 22,
volume = 118,
place = {United States},
year = {2017},
month = {5}
}