Odd-Parity Superconductivity near an Inversion Breaking Quantum Critical Point in One Dimension
Abstract
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:
-
- Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Department of Physics
- Publication Date:
- 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
- OSTI Identifier:
- 1424923
- Alternate Identifier(s):
- OSTI ID: 1361004
- Grant/Contract Number:
- SC0010526
- Resource 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)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Quantum criticality; superconductivity; topological materials; topological superconductors; unconventional superconductors
Citation Formats
Ruhman, Jonathan, Kozii, Vladyslav, and Fu, Liang. Odd-Parity Superconductivity near an Inversion Breaking Quantum Critical Point in One Dimension. United States: N. p., 2017.
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. https://doi.org/10.1103/PhysRevLett.118.227001
Ruhman, Jonathan, Kozii, Vladyslav, and Fu, Liang. Wed .
"Odd-Parity Superconductivity near an Inversion Breaking Quantum Critical Point in One Dimension". United States. https://doi.org/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 = {Wed May 31 00:00:00 EDT 2017},
month = {Wed May 31 00:00:00 EDT 2017}
}
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Works referenced in this record:
Topological States in a One-Dimensional Fermi Gas with Attractive Interaction
journal, March 2015
- Ruhman, Jonathan; Berg, Erez; Altman, Ehud
- Physical Review Letters, Vol. 114, Issue 10
Thermodynamic evidence for nematic superconductivity in CuxBi2Se3
journal, October 2016
- Yonezawa, Shingo; Tajiri, Kengo; Nakata, Suguru
- Nature Physics, Vol. 13, Issue 2
What makes the Tc of monolayer FeSe on SrTiO3 so high: a sign-problem-free quantum Monte Carlo study
journal, June 2016
- Li, Zi-Xiang; Wang, Fa; Yao, Hong
- Science Bulletin, Vol. 61, Issue 12
Odd-Parity Superconductivity in the Vicinity of Inversion Symmetry Breaking in Spin-Orbit-Coupled Systems
journal, November 2015
- Kozii, Vladyslav; Fu, Liang
- Physical Review Letters, Vol. 115, Issue 20
Cooper pairing in non-Fermi liquids
journal, March 2015
- Metlitski, Max A.; Mross, David F.; Sachdev, Subir
- Physical Review B, Vol. 91, Issue 11
Odd-parity topological superconductor with nematic order: Application to
journal, September 2014
- Fu, Liang
- Physical Review B, Vol. 90, Issue 10
Odd-Parity Topological Superconductors: Theory and Application to
journal, August 2010
- Fu, Liang; Berg, Erez
- Physical Review Letters, Vol. 105, Issue 9
A theoretical description of the new phases of liquid
journal, April 1975
- Leggett, Anthony J.
- Reviews of Modern Physics, Vol. 47, Issue 2
A Quantum Critical Point Lying Beneath the Superconducting Dome in Iron Pnictides
journal, March 2014
- Shibauchi, T.; Carrington, A.; Matsuda, Y.
- Annual Review of Condensed Matter Physics, Vol. 5, Issue 1
Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson
journal, February 2017
- Alberton, Ori; Ruhman, Jonathan; Berg, Erez
- Physical Review B, Vol. 95, Issue 7
Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems
journal, April 2016
- Wang, Yuxuan; Cho, Gil Young; Hughes, Taylor L.
- Physical Review B, Vol. 93, Issue 13
Rotational isotropy breaking as proof for spin-polarized Cooper pairs in the topological superconductor Cu Bi Se
journal, September 2012
- Nagai, Yuki; Nakamura, Hiroki; Machida, Masahiko
- Physical Review B, Vol. 86, Issue 9
Topological odd-parity superconductors
journal, June 2010
- Sato, Masatoshi
- Physical Review B, Vol. 81, Issue 22
Emergent Lorentz Symmetry with Vanishing Velocity in a Critical Two-Subband Quantum Wire
journal, April 2009
- Sitte, M.; Rosch, A.; Meyer, J. S.
- Physical Review Letters, Vol. 102, Issue 17
Symmetry Considerations on Martensitic Transformations: "Ferroelectric" Metals?
journal, February 1965
- Anderson, P. W.; Blount, E. I.
- Physical Review Letters, Vol. 14, Issue 7
Spin-anisotropic electron-electron interactions in one-dimensional metals
journal, February 1986
- Giamarchi, T.; Schulz, H. J.
- Physical Review B, Vol. 33, Issue 3
Superconductivity in and its Implications for Pairing in the Undoped Topological Insulator
journal, February 2010
- Hor, Y. S.; Williams, A. J.; Checkelsky, J. G.
- Physical Review Letters, Vol. 104, Issue 5
Two-Dimensional Anisotropic Non-Fermi-Liquid Phase of Coupled Luttinger Liquids
journal, January 2001
- Vishwanath, Ashvin; Carpentier, David
- Physical Review Letters, Vol. 86, Issue 4
A parity-breaking electronic nematic phase transition in the spin-orbit coupled metal Cd 2 Re 2 O 7
journal, April 2017
- Harter, J. W.; Zhao, Z. Y.; Yan, J. -Q.
- Science, Vol. 356, Issue 6335
Quantum criticality and the phase diagram of the cuprates
journal, December 2010
- Sachdev, Subir
- Physica C: Superconductivity and its Applications, Vol. 470
Time-reversal-invariant topological superconductivity induced by repulsive interactions in quantum wires
journal, June 2014
- Haim, Arbel; Keselman, Anna; Berg, Erez
- Physical Review B, Vol. 89, Issue 22
Superconductivity and nematic fluctuations in a model of doped FeSe monolayers: Determinant quantum Monte Carlo study
journal, October 2016
- Dumitrescu, Philipp T.; Serbyn, Maksym; Scalettar, Richard T.
- Physical Review B, Vol. 94, Issue 15
Spin-rotation symmetry breaking in the superconducting state of CuxBi2Se3
journal, May 2016
- Matano, K.; Kriener, M.; Segawa, K.
- Nature Physics, Vol. 12, Issue 9
Effects of disorder on two strongly correlated coupled chains
journal, September 1997
- Orignac, E.; Giamarchi, T.
- Physical Review B, Vol. 56, Issue 12
Time-reversal invariant parafermions in interacting Rashba nanowires
journal, July 2014
- Klinovaja, Jelena; Loss, Daniel
- Physical Review B, Vol. 90, Issue 4
Ising Nematic Quantum Critical Point in a Metal: A Monte Carlo Study
journal, August 2016
- Schattner, Yoni; Lederer, Samuel; Kivelson, Steven A.
- Physical Review X, Vol. 6, Issue 3
A ferroelectric-like structural transition in a metal
journal, September 2013
- Shi, Youguo; Guo, Yanfeng; Wang, Xia
- Nature Materials, Vol. 12, Issue 11
Sliding Luttinger liquid phases
journal, July 2001
- Mukhopadhyay, Ranjan; Kane, C. L.; Lubensky, T. C.
- Physical Review B, Vol. 64, Issue 4
Sign-Problem-Free Quantum Monte Carlo of the Onset of Antiferromagnetism in Metals
journal, December 2012
- Berg, E.; Metlitski, M. A.; Sachdev, S.
- Science, Vol. 338, Issue 6114
Bulk Superconducting Phase with a Full Energy Gap in the Doped Topological Insulator
journal, March 2011
- Kriener, M.; Segawa, Kouji; Ren, Zhi
- Physical Review Letters, Vol. 106, Issue 12
Theory of spin-anisotropic electron-electron interactions in quasi-one-dimensional metals
journal, January 1988
- Giamarchi, T.; Schulz, H. J.
- Journal de Physique, Vol. 49, Issue 5
Long-range Coulomb interactions in quasi-one-dimensional conductors
journal, December 1983
- Schulz, H. J.
- Journal of Physics C: Solid State Physics, Vol. 16, Issue 35
Enhancement of superconductivity at the onset of charge-density-wave order in a metal
journal, September 2015
- Wang, Yuxuan; Chubukov, Andrey V.
- Physical Review B, Vol. 92, Issue 12
Low Temperature Symmetry of Pyrochlore Oxide Cd 2 Re 2 O 7
journal, November 2002
- Yamaura, Jun-Ichi; Hiroi, Zenji
- Journal of the Physical Society of Japan, Vol. 71, Issue 11
Enhancement of Superconductivity near a Nematic Quantum Critical Point
journal, March 2015
- Lederer, S.; Schattner, Y.; Berg, E.
- Physical Review Letters, Vol. 114, Issue 9
Quantum Critical Origin of the Superconducting Dome in
journal, December 2015
- Edge, Jonathan M.; Kedem, Yaron; Aschauer, Ulrich
- Physical Review Letters, Vol. 115, Issue 24
Inducing Time-Reversal-Invariant Topological Superconductivity and Fermion Parity Pumping in Quantum Wires
journal, September 2013
- Keselman, Anna; Fu, Liang; Stern, Ady
- Physical Review Letters, Vol. 111, Issue 11
Ferromagnetic Transition in One-Dimensional Itinerant Electron Systems
journal, August 2004
- Yang, Kun
- Physical Review Letters, Vol. 93, Issue 6
Internal pressure in superconducting Cu-intercalated
journal, February 2016
- Ribak, Amit; Chashka, Khanan B.; Lahoud, Elias
- Physical Review B, Vol. 93, Issue 6
Backward Scattering in the One-Dimensional Electron Gas
journal, September 1974
- Luther, A.; Emery, V. J.
- Physical Review Letters, Vol. 33, Issue 10
Superconductivity with Topological Surface State in Sr x Bi 2 Se 3
journal, August 2015
- Liu, Zhongheng; Yao, Xiong; Shao, Jifeng
- Journal of the American Chemical Society, Vol. 137, Issue 33
Interplay between antiferrodistortive, ferroelectric, and superconducting instabilities in
journal, January 2015
- de Lima, B. S.; da Luz, M. S.; Oliveira, F. S.
- Physical Review B, Vol. 91, Issue 4
Pressure-Induced Unconventional Superconducting Phase in the Topological Insulator
journal, August 2013
- Kirshenbaum, Kevin; Syers, P. S.; Hope, A. P.
- Physical Review Letters, Vol. 111, Issue 8
Quantum Theory of the Smectic Metal State in Stripe Phases
journal, September 2000
- Emery, V. J.; Fradkin, E.; Kivelson, S. A.
- Physical Review Letters, Vol. 85, Issue 10
Structural ordering and symmetry breaking in
journal, October 2002
- Castellan, J. P.; Gaulin, B. D.; van Duijn, J.
- Physical Review B, Vol. 66, Issue 13
Competing Orders in a Nearly Antiferromagnetic Metal
journal, August 2016
- Schattner, Yoni; Gerlach, Max H.; Trebst, Simon
- Physical Review Letters, Vol. 117, Issue 9
Scattering and Pairing in Cuprate Superconductors
journal, August 2010
- Taillefer, Louis
- Annual Review of Condensed Matter Physics, Vol. 1, Issue 1
From classical to quantum criticality
journal, June 2014
- Podolsky, Daniel; Shimshoni, Efrat; Silvi, Pietro
- Physical Review B, Vol. 89, Issue 21
Theory of the quantum paraelectric-ferroelectric transition
journal, January 2003
- Roussev, R.; Millis, A. J.
- Physical Review B, Vol. 67, Issue 1
Gapless symmetry-protected topological phase of fermions in one dimension
journal, June 2015
- Keselman, Anna; Berg, Erez
- Physical Review B, Vol. 91, Issue 23
A common thread: The pairing interaction for unconventional superconductors
journal, October 2012
- Scalapino, D. J.
- Reviews of Modern Physics, Vol. 84, Issue 4
Interaction-driven topological superconductivity in one dimension
journal, September 2016
- Haim, Arbel; Wölms, Konrad; Berg, Erez
- Physical Review B, Vol. 94, Issue 11
Quantum Critical Origin of the Superconducting Dome in SrTiO₃
text, January 2015
- Aschauer, Ulrich Johannes; Balatsky, Alexander V.; Spaldin, Nicola A.
- American Physical Society
Two-Dimensional Anisotropic Non-Fermi-Liquid Phase of Coupled Luttinger Liquids
text, January 2001
- Carpentier, David; Vishwanath, Ashvin
- The American Physical Society
Rotational Isotropy Breaking as Proof for Spin-polarized Cooper Pairs in the Topological Superconductor CuxBi2Se3
text, January 2012
- Nagai, Yuki; Nakamura, Hiroki; Machida, Masahiko
- arXiv
Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals
text, January 2012
- Berg, Erez; Metlitski, Max A.; Sachdev, Subir
- arXiv
Quantum critical point lying beneath the superconducting dome in iron-pnictides
text, January 2013
- Shibauchi, T.; Carrington, A.; Matsuda, Y.
- arXiv
Time-Reversal Invariant Topological Superconductivity Induced by Repulsive Interactions in Quantum Wires
text, January 2013
- Haim, Arbel; Keselman, Anna; Berg, Erez
- arXiv
From classical to quantum criticality
text, January 2014
- Podolsky, Daniel; Shimshoni, Efrat; Silvi, Pietro
- arXiv
Topological States in a One-Dimensional Fermi Gas with Attractive Interactions
text, January 2014
- Ruhman, Jonathan; Berg, Erez; Altman, Ehud
- arXiv
Enhancement of superconductivity at the onset of charge-density-wave order in a metal
text, January 2015
- Wang, Yuxuan; Chubukov, Andrey V.
- arXiv
Odd-parity superconductivity in the vicinity of inversion symmetry breaking in spin-orbit-coupled systems
text, January 2015
- Kozii, Vladyslav; Fu, Liang
- arXiv
A ferroelectric-like structural transition in a metal
text, January 2015
- Shi, Youguo; Guo, Yanfeng; Wang, Xia
- arXiv
What makes the Tc of monolayer FeSe on SrTiO3 so high: a sign-problem-free quantum Monte Carlo study
text, January 2015
- Li, Zi-Xiang; Wang, Fa; Yao, Hong
- arXiv
Interaction-driven topological superconductivity in one dimension
text, January 2016
- Haim, Arbel; Wölms, Konrad; Berg, Erez
- arXiv
Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson
text, January 2016
- Alberton, Ori; Ruhman, Jonathan; Berg, Erez
- arXiv
Two dimensional anisotropic non Fermi-liquid phase of coupled Luttinger liquids
text, January 2000
- Vishwanath, Ashvin; Carpentier, David
- arXiv
Sliding Luttinger liquid phases
text, January 2001
- Mukhopadhyay, Ranjan; Kane, C. L.; Lubensky, T. C.
- arXiv
Ferromagnetic Transition in One-Dimensional Itinerant Electron Systems
text, January 2004
- Yang, Kun
- arXiv
Works referencing / citing this record:
Weak-Pairing Higher Order Topological Superconductors
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