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 00:00:00 EDT 2017 · Physical Review Letters

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

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

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

Alternate ID(s):: OSTI ID: 1361004

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 14 works

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References (70)

Topological States in a One-Dimensional Fermi Gas with Attractive Interaction Ruhman, Jonathan; Berg, Erez; Altman, Ehud Physical Review Letters, Vol. 114, Issue 10 https://doi.org/10.1103/PhysRevLett.114.100401	journal	March 2015
Thermodynamic evidence for nematic superconductivity in CuxBi2Se3 Yonezawa, Shingo; Tajiri, Kengo; Nakata, Suguru Nature Physics, Vol. 13, Issue 2 https://doi.org/10.1038/nphys3907	journal	October 2016
What makes the Tc of monolayer FeSe on SrTiO3 so high: a sign-problem-free quantum Monte Carlo study Li, Zi-Xiang; Wang, Fa; Yao, Hong Science Bulletin, Vol. 61, Issue 12 https://doi.org/10.1007/s11434-016-1087-x	journal	June 2016
Odd-Parity Superconductivity in the Vicinity of Inversion Symmetry Breaking in Spin-Orbit-Coupled Systems Kozii, Vladyslav; Fu, Liang Physical Review Letters, Vol. 115, Issue 20 https://doi.org/10.1103/PhysRevLett.115.207002	journal	November 2015
Cooper pairing in non-Fermi liquids Metlitski, Max A.; Mross, David F.; Sachdev, Subir Physical Review B, Vol. 91, Issue 11 https://doi.org/10.1103/PhysRevB.91.115111	journal	March 2015
Odd-parity topological superconductor with nematic order: Application to ${Cu}_{x} {Bi}_{2} {Se}_{3}$ Fu, Liang Physical Review B, Vol. 90, Issue 10 https://doi.org/10.1103/PhysRevB.90.100509	journal	September 2014
Odd-Parity Topological Superconductors: Theory and Application to ${Cu}_{x} {Bi}_{2} {Se}_{3}$ Fu, Liang; Berg, Erez Physical Review Letters, Vol. 105, Issue 9 https://doi.org/10.1103/PhysRevLett.105.097001	journal	August 2010
A theoretical description of the new phases of liquid ${}^{3}{He}$ Leggett, Anthony J. Reviews of Modern Physics, Vol. 47, Issue 2 https://doi.org/10.1103/RevModPhys.47.331	journal	April 1975
A Quantum Critical Point Lying Beneath the Superconducting Dome in Iron Pnictides Shibauchi, T.; Carrington, A.; Matsuda, Y. Annual Review of Condensed Matter Physics, Vol. 5, Issue 1 https://doi.org/10.1146/annurev-conmatphys-031113-133921	journal	March 2014
Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson Alberton, Ori; Ruhman, Jonathan; Berg, Erez Physical Review B, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevB.95.075132	journal	February 2017
Topological superconducting phases from inversion symmetry breaking order in spin-orbit-coupled systems Wang, Yuxuan; Cho, Gil Young; Hughes, Taylor L. Physical Review B, Vol. 93, Issue 13 https://doi.org/10.1103/PhysRevB.93.134512	journal	April 2016
Rotational isotropy breaking as proof for spin-polarized Cooper pairs in the topological superconductor Cu $_{x}$ Bi $_{2}$ Se $_{3}$ Nagai, Yuki; Nakamura, Hiroki; Machida, Masahiko Physical Review B, Vol. 86, Issue 9 https://doi.org/10.1103/PhysRevB.86.094507	journal	September 2012
Topological odd-parity superconductors Sato, Masatoshi Physical Review B, Vol. 81, Issue 22 https://doi.org/10.1103/PhysRevB.81.220504	journal	June 2010
Emergent Lorentz Symmetry with Vanishing Velocity in a Critical Two-Subband Quantum Wire Sitte, M.; Rosch, A.; Meyer, J. S. Physical Review Letters, Vol. 102, Issue 17 https://doi.org/10.1103/PhysRevLett.102.176404	journal	April 2009
Symmetry Considerations on Martensitic Transformations: "Ferroelectric" Metals? Anderson, P. W.; Blount, E. I. Physical Review Letters, Vol. 14, Issue 7 https://doi.org/10.1103/PhysRevLett.14.217	journal	February 1965
Spin-anisotropic electron-electron interactions in one-dimensional metals Giamarchi, T.; Schulz, H. J. Physical Review B, Vol. 33, Issue 3 https://doi.org/10.1103/PhysRevB.33.2066	journal	February 1986
Superconductivity in ${Cu}_{x} {Bi}_{2} {Se}_{3}$ and its Implications for Pairing in the Undoped Topological Insulator Hor, Y. S.; Williams, A. J.; Checkelsky, J. G. Physical Review Letters, Vol. 104, Issue 5 https://doi.org/10.1103/PhysRevLett.104.057001	journal	February 2010
Two-Dimensional Anisotropic Non-Fermi-Liquid Phase of Coupled Luttinger Liquids Vishwanath, Ashvin; Carpentier, David Physical Review Letters, Vol. 86, Issue 4 https://doi.org/10.1103/PhysRevLett.86.676	journal	January 2001
A parity-breaking electronic nematic phase transition in the spin-orbit coupled metal Cd ₂ Re ₂ O ₇ Harter, J. W.; Zhao, Z. Y.; Yan, J. -Q. Science, Vol. 356, Issue 6335 https://doi.org/10.1126/science.aad1188	journal	April 2017
Quantum criticality and the phase diagram of the cuprates Sachdev, Subir Physica C: Superconductivity and its Applications, Vol. 470 https://doi.org/10.1016/j.physc.2009.11.011	journal	December 2010
Time-reversal-invariant topological superconductivity induced by repulsive interactions in quantum wires Haim, Arbel; Keselman, Anna; Berg, Erez Physical Review B, Vol. 89, Issue 22 https://doi.org/10.1103/PhysRevB.89.220504	journal	June 2014
Superconductivity and nematic fluctuations in a model of doped FeSe monolayers: Determinant quantum Monte Carlo study Dumitrescu, Philipp T.; Serbyn, Maksym; Scalettar, Richard T. Physical Review B, Vol. 94, Issue 15 https://doi.org/10.1103/PhysRevB.94.155127	journal	October 2016
Spin-rotation symmetry breaking in the superconducting state of CuxBi2Se3 Matano, K.; Kriener, M.; Segawa, K. Nature Physics, Vol. 12, Issue 9 https://doi.org/10.1038/nphys3781	journal	May 2016
Effects of disorder on two strongly correlated coupled chains Orignac, E.; Giamarchi, T. Physical Review B, Vol. 56, Issue 12 https://doi.org/10.1103/PhysRevB.56.7167	journal	September 1997
Time-reversal invariant parafermions in interacting Rashba nanowires Klinovaja, Jelena; Loss, Daniel Physical Review B, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevB.90.045118	journal	July 2014
Ising Nematic Quantum Critical Point in a Metal: A Monte Carlo Study Schattner, Yoni; Lederer, Samuel; Kivelson, Steven A. Physical Review X, Vol. 6, Issue 3 https://doi.org/10.1103/PhysRevX.6.031028	journal	August 2016
A ferroelectric-like structural transition in a metal Shi, Youguo; Guo, Yanfeng; Wang, Xia Nature Materials, Vol. 12, Issue 11 https://doi.org/10.1038/nmat3754	journal	September 2013
Sliding Luttinger liquid phases Mukhopadhyay, Ranjan; Kane, C. L.; Lubensky, T. C. Physical Review B, Vol. 64, Issue 4 https://doi.org/10.1103/PhysRevB.64.045120	journal	July 2001
Sign-Problem-Free Quantum Monte Carlo of the Onset of Antiferromagnetism in Metals Berg, E.; Metlitski, M. A.; Sachdev, S. Science, Vol. 338, Issue 6114 https://doi.org/10.1126/science.1227769	journal	December 2012
Bulk Superconducting Phase with a Full Energy Gap in the Doped Topological Insulator ${Cu}_{x} {Bi}_{2} {Se}_{3}$ Kriener, M.; Segawa, Kouji; Ren, Zhi Physical Review Letters, Vol. 106, Issue 12 https://doi.org/10.1103/PhysRevLett.106.127004	journal	March 2011
Theory of spin-anisotropic electron-electron interactions in quasi-one-dimensional metals Giamarchi, T.; Schulz, H. J. Journal de Physique, Vol. 49, Issue 5 https://doi.org/10.1051/jphys:01988004905081900	journal	January 1988
Long-range Coulomb interactions in quasi-one-dimensional conductors Schulz, H. J. Journal of Physics C: Solid State Physics, Vol. 16, Issue 35 https://doi.org/10.1088/0022-3719/16/35/010	journal	December 1983
Enhancement of superconductivity at the onset of charge-density-wave order in a metal Wang, Yuxuan; Chubukov, Andrey V. Physical Review B, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevB.92.125108	journal	September 2015
Low Temperature Symmetry of Pyrochlore Oxide Cd ₂ Re ₂ O ₇ Yamaura, Jun-Ichi; Hiroi, Zenji Journal of the Physical Society of Japan, Vol. 71, Issue 11 https://doi.org/10.1143/JPSJ.71.2598	journal	November 2002
Enhancement of Superconductivity near a Nematic Quantum Critical Point Lederer, S.; Schattner, Y.; Berg, E. Physical Review Letters, Vol. 114, Issue 9 https://doi.org/10.1103/PhysRevLett.114.097001	journal	March 2015
Quantum Critical Origin of the Superconducting Dome in ${SrTiO}_{3}$ Edge, Jonathan M.; Kedem, Yaron; Aschauer, Ulrich Physical Review Letters, Vol. 115, Issue 24 https://doi.org/10.1103/PhysRevLett.115.247002	journal	December 2015
Inducing Time-Reversal-Invariant Topological Superconductivity and Fermion Parity Pumping in Quantum Wires Keselman, Anna; Fu, Liang; Stern, Ady Physical Review Letters, Vol. 111, Issue 11 https://doi.org/10.1103/PhysRevLett.111.116402	journal	September 2013
Ferromagnetic Transition in One-Dimensional Itinerant Electron Systems Yang, Kun Physical Review Letters, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevLett.93.066401	journal	August 2004
Internal pressure in superconducting Cu-intercalated ${Bi}_{2} {Se}_{3}$ Ribak, Amit; Chashka, Khanan B.; Lahoud, Elias Physical Review B, Vol. 93, Issue 6 https://doi.org/10.1103/PhysRevB.93.064505	journal	February 2016
Backward Scattering in the One-Dimensional Electron Gas Luther, A.; Emery, V. J. Physical Review Letters, Vol. 33, Issue 10 https://doi.org/10.1103/PhysRevLett.33.589	journal	September 1974
Superconductivity with Topological Surface State in Sr _x Bi ₂ Se ₃ Liu, Zhongheng; Yao, Xiong; Shao, Jifeng Journal of the American Chemical Society, Vol. 137, Issue 33 https://doi.org/10.1021/jacs.5b06815	journal	August 2015
Interplay between antiferrodistortive, ferroelectric, and superconducting instabilities in ${Sr}_{1 - x} {Ca}_{x} {TiO}_{3 - δ}$ de Lima, B. S.; da Luz, M. S.; Oliveira, F. S. Physical Review B, Vol. 91, Issue 4 https://doi.org/10.1103/PhysRevB.91.045108	journal	January 2015
Pressure-Induced Unconventional Superconducting Phase in the Topological Insulator ${Bi}_{2} {Se}_{3}$ Kirshenbaum, Kevin; Syers, P. S.; Hope, A. P. Physical Review Letters, Vol. 111, Issue 8 https://doi.org/10.1103/PhysRevLett.111.087001	journal	August 2013
Quantum Theory of the Smectic Metal State in Stripe Phases Emery, V. J.; Fradkin, E.; Kivelson, S. A. Physical Review Letters, Vol. 85, Issue 10 https://doi.org/10.1103/PhysRevLett.85.2160	journal	September 2000
Structural ordering and symmetry breaking in ${Cd}_{2} {Re}_{2} O_{7}$ Castellan, J. P.; Gaulin, B. D.; van Duijn, J. Physical Review B, Vol. 66, Issue 13 https://doi.org/10.1103/PhysRevB.66.134528	journal	October 2002
Competing Orders in a Nearly Antiferromagnetic Metal Schattner, Yoni; Gerlach, Max H.; Trebst, Simon Physical Review Letters, Vol. 117, Issue 9 https://doi.org/10.1103/PhysRevLett.117.097002	journal	August 2016
Scattering and Pairing in Cuprate Superconductors Taillefer, Louis Annual Review of Condensed Matter Physics, Vol. 1, Issue 1 https://doi.org/10.1146/annurev-conmatphys-070909-104117	journal	August 2010
From classical to quantum criticality Podolsky, Daniel; Shimshoni, Efrat; Silvi, Pietro Physical Review B, Vol. 89, Issue 21 https://doi.org/10.1103/PhysRevB.89.214408	journal	June 2014
Theory of the quantum paraelectric-ferroelectric transition Roussev, R.; Millis, A. J. Physical Review B, Vol. 67, Issue 1 https://doi.org/10.1103/PhysRevB.67.014105	journal	January 2003
Gapless symmetry-protected topological phase of fermions in one dimension Keselman, Anna; Berg, Erez Physical Review B, Vol. 91, Issue 23 https://doi.org/10.1103/PhysRevB.91.235309	journal	June 2015
A common thread: The pairing interaction for unconventional superconductors Scalapino, D. J. Reviews of Modern Physics, Vol. 84, Issue 4 https://doi.org/10.1103/RevModPhys.84.1383	journal	October 2012
Interaction-driven topological superconductivity in one dimension Haim, Arbel; Wölms, Konrad; Berg, Erez Physical Review B, Vol. 94, Issue 11 https://doi.org/10.1103/PhysRevB.94.115124	journal	September 2016
Quantum Critical Origin of the Superconducting Dome in SrTiO₃ Aschauer, Ulrich Johannes; Balatsky, Alexander V.; Spaldin, Nicola A. American Physical Society https://doi.org/10.7892/boris.85274	text	January 2015
Two-Dimensional Anisotropic Non-Fermi-Liquid Phase of Coupled Luttinger Liquids Carpentier, David; Vishwanath, Ashvin The American Physical Society https://doi.org/10.17877/de290r-12119	text	January 2001
Scattering and Pairing in Cuprate Superconductors Taillefer, Louis arXiv https://doi.org/10.48550/arxiv.1003.2972	text	January 2010
Rotational Isotropy Breaking as Proof for Spin-polarized Cooper Pairs in the Topological Superconductor CuxBi2Se3 Nagai, Yuki; Nakamura, Hiroki; Machida, Masahiko arXiv https://doi.org/10.48550/arxiv.1206.0563	text	January 2012
Sign-problem-free quantum Monte Carlo of the onset of antiferromagnetism in metals Berg, Erez; Metlitski, Max A.; Sachdev, Subir arXiv https://doi.org/10.48550/arxiv.1206.0742	text	January 2012
Quantum critical point lying beneath the superconducting dome in iron-pnictides Shibauchi, T.; Carrington, A.; Matsuda, Y. arXiv https://doi.org/10.48550/arxiv.1304.6387	text	January 2013
Time-Reversal Invariant Topological Superconductivity Induced by Repulsive Interactions in Quantum Wires Haim, Arbel; Keselman, Anna; Berg, Erez arXiv https://doi.org/10.48550/arxiv.1310.4525	text	January 2013
From classical to quantum criticality Podolsky, Daniel; Shimshoni, Efrat; Silvi, Pietro arXiv https://doi.org/10.48550/arxiv.1403.2422	text	January 2014
Topological States in a One-Dimensional Fermi Gas with Attractive Interactions Ruhman, Jonathan; Berg, Erez; Altman, Ehud arXiv https://doi.org/10.48550/arxiv.1412.3444	text	January 2014
Enhancement of superconductivity at the onset of charge-density-wave order in a metal Wang, Yuxuan; Chubukov, Andrey V. arXiv https://doi.org/10.48550/arxiv.1507.03583	text	January 2015
Odd-parity superconductivity in the vicinity of inversion symmetry breaking in spin-orbit-coupled systems Kozii, Vladyslav; Fu, Liang arXiv https://doi.org/10.48550/arxiv.1508.00574	text	January 2015
A ferroelectric-like structural transition in a metal Shi, Youguo; Guo, Yanfeng; Wang, Xia arXiv https://doi.org/10.48550/arxiv.1509.01849	text	January 2015
What makes the Tc of monolayer FeSe on SrTiO3 so high: a sign-problem-free quantum Monte Carlo study Li, Zi-Xiang; Wang, Fa; Yao, Hong arXiv https://doi.org/10.48550/arxiv.1512.06179	text	January 2015
Interaction-driven topological superconductivity in one dimension Haim, Arbel; Wölms, Konrad; Berg, Erez arXiv https://doi.org/10.48550/arxiv.1605.09385	text	January 2016
Fate of the one-dimensional Ising quantum critical point coupled to a gapless boson Alberton, Ori; Ruhman, Jonathan; Berg, Erez arXiv https://doi.org/10.48550/arxiv.1609.02599	text	January 2016
Two dimensional anisotropic non Fermi-liquid phase of coupled Luttinger liquids Vishwanath, Ashvin; Carpentier, David arXiv https://doi.org/10.48550/arxiv.cond-mat/0003036	text	January 2000
Sliding Luttinger liquid phases Mukhopadhyay, Ranjan; Kane, C. L.; Lubensky, T. C. arXiv https://doi.org/10.48550/arxiv.cond-mat/0102163	text	January 2001
Ferromagnetic Transition in One-Dimensional Itinerant Electron Systems Yang, Kun arXiv https://doi.org/10.48550/arxiv.cond-mat/0401149	text	January 2004

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

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