Knight Shift and Leading Superconducting Instability from Spin Fluctuations in Sr2RuO4

Rømer, A. T.; Scherer, D. D.; Eremin, I. M.; Hirschfeld, P. J.; Andersen, B. M.

doi:10.1103/PhysRevLett.123.247001

Title: Knight Shift and Leading Superconducting Instability from Spin Fluctuations in ${Sr}_{2} {RuO}_{4}$

Abstract

We report that recent nuclear magnetic resonance studies [A. Pustogow et al., Nature 574, 72 (2019)] have challenged the prevalent chiral triplet pairing scenario proposed for ${Sr}_{2} {RuO}_{4}$ . To provide guidance from microscopic theory as to which other pair states might be compatible with the new data, we perform a detailed theoretical study of spin fluctuation mediated pairing for this compound. We map out the phase diagram as a function of spin-orbit coupling, interaction parameters, and band structure properties over physically reasonable ranges, comparing when possible with photoemission and inelastic neutron scattering data information. We find that even-parity pseudospin singlet solutions dominate large regions of the phase diagram, but in certain regimes spin-orbit coupling favors a near-nodal odd-parity triplet superconducting state, which is either helical or chiral depending on the proximity of the $γ$ band to the van Hove points. A surprising near degeneracy of the nodal $s^{'}$ and $d_{x^{2} - y^{2}}$ wave solutions leads to the possibility of a near-nodal time-reversal symmetry broken $s^{'} + i d_{x^{2} - y^{2}}$ pair state. Lastly, predictions for the temperature dependence of the Knight shift for fields in and out of plane are presented for all states.

Authors:

^[1]; Scherer, D. D. ^[2]; Eremin, I. M. ^[3]; Hirschfeld, P. J. ^[4]; Andersen, B. M. ^[2]

Univ. of Copenhagen (Denmark); Institut Laue-Langevin (France)
Univ. of Copenhagen (Denmark)
Ruhr-Universität Bochum (Germany); National Univ. of Science and Technology MISiS, Moscow (Germany)
Univ. of Florida, Gainesville, FL (United States)

Publication Date:: 2019-12-13

Research Org.:: Univ. of Florida, Gainesville, FL (United States)

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

OSTI Identifier:: 1603844

Grant/Contract Number:: FG02-05ER46236; K2-2017-085

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 123; Journal Issue: 24; 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; Multiband superconductivity; Pairing mechanisms; Spin-orbit coupling; Superconducting order parameter

Citation Formats


                    Rømer, A. T., Scherer, D. D., Eremin, I. M., Hirschfeld, P. J., and Andersen, B. M. Knight Shift and Leading Superconducting Instability from Spin Fluctuations in Sr2RuO4.  United States: N. p., 2019. 
Web.  doi:10.1103/PhysRevLett.123.247001.

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                    Rømer, A. T., Scherer, D. D., Eremin, I. M., Hirschfeld, P. J., & Andersen, B. M. Knight Shift and Leading Superconducting Instability from Spin Fluctuations in Sr2RuO4.  United States.  https://doi.org/10.1103/PhysRevLett.123.247001

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                    Rømer, A. T., Scherer, D. D., Eremin, I. M., Hirschfeld, P. J., and Andersen, B. M. Fri .  
"Knight Shift and Leading Superconducting Instability from Spin Fluctuations in Sr2RuO4".  United States.  https://doi.org/10.1103/PhysRevLett.123.247001.  https://www.osti.gov/servlets/purl/1603844.

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@article{osti_1603844,

  title        = {Knight Shift and Leading Superconducting Instability from Spin Fluctuations in Sr2RuO4},

  author       = {Rømer, A. T. and Scherer, D. D. and Eremin, I. M. and Hirschfeld, P. J. and Andersen, B. M.},

  abstractNote = {We report that recent nuclear magnetic resonance studies [A. Pustogow et al., Nature 574, 72 (2019)] have challenged the prevalent chiral triplet pairing scenario proposed for Sr2RuO4. To provide guidance from microscopic theory as to which other pair states might be compatible with the new data, we perform a detailed theoretical study of spin fluctuation mediated pairing for this compound. We map out the phase diagram as a function of spin-orbit coupling, interaction parameters, and band structure properties over physically reasonable ranges, comparing when possible with photoemission and inelastic neutron scattering data information. We find that even-parity pseudospin singlet solutions dominate large regions of the phase diagram, but in certain regimes spin-orbit coupling favors a near-nodal odd-parity triplet superconducting state, which is either helical or chiral depending on the proximity of the γ band to the van Hove points. A surprising near degeneracy of the nodal s' and dx2-y2 wave solutions leads to the possibility of a near-nodal time-reversal symmetry broken s'+idx2-y2 pair state. Lastly, predictions for the temperature dependence of the Knight shift for fields in and out of plane are presented for all states.},

  doi          = {10.1103/PhysRevLett.123.247001},

  journal      = {Physical Review Letters},

  number       = 24,

  volume       = 123,

  place        = {United States},

  year         = {2019},

  month        = {12}

}

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Title: Knight Shift and Leading Superconducting Instability from Spin Fluctuations in Sr 2 RuO 4

Abstract

Citation Formats

Very low temperature thermal conductivity in the layered perovskite superconductor journal, August 1998

Polar Kerr effect as probe for time-reversal symmetry breaking in unconventional superconductors journal, May 2009

Strong Spin-Orbit Coupling Effects on the Fermi Surface of Sr 2 RuO 4 and Sr 2 RhO 4 journal, July 2008

Spin-Orbital Entanglement and the Breakdown of Singlets and Triplets in Sr 2 RuO 4 Revealed by Spin- and Angle-Resolved Photoemission Spectroscopy journal, March 2014

Anisotropic pairing in superconducting Sr 2 RuO 4 : Ru NMR and NQR studies journal, July 1997

Spin polarization enhanced by spin-triplet pairing in Sr 2 RuO 4 probed by NMR journal, September 2015

Temperature Dependence of the Penetration Depth in Sr 2 RuO 4 : Evidence for Nodes in the Gap Function journal, November 2000

Pairing symmetry of the one-band Hubbard model in the paramagnetic weak-coupling limit: A numerical RPA study journal, September 2015

Inelastic neutron scattering study of magnetic excitations in Sr 2 RuO 4 journal, August 2002

Spin Fluctuations in Sr 2 RuO 4 from Polarized Neutron Scattering: Implications for Superconductivity journal, February 2019

Universal Heat Transport in Sr 2 RuO 4 journal, May 2002

Phenomenology of the superconducting state in Sr2RuO4 journal, May 1999

Effect of Ferromagnetic Spin Correlations on Superconductivity journal, August 1966

Electronic band structure of the superconductor Sr 2 RuO 4 journal, January 1995

Constraints on the superconducting order parameter in Sr2RuO4 from oxygen-17 nuclear magnetic resonance journal, September 2019

Paramagnetic Susceptibility in Superconductors journal, May 1958

Theory of superconductivity in a three-orbital model of Sr 2 RuO 4 journal, October 2013

Inelastic neutron scattering study of the magnetic fluctuations in Sr 2 RuO 4 journal, August 2011

The role of spin-orbit coupling for the superconducting state in Sr 2 RuO 4 journal, February 2000

Pairing symmetry and dominant band in Sr 2 RuO 4 journal, June 2014

Renormalized band structure of Sr2RuO4: A quasiparticle tight-binding approach journal, December 2013

Evidence for Incommensurate Spin Fluctuations in Sr 2 RuO 4 journal, October 1999

Superconducting pairing in Sr 2 RuO 4 from weak to intermediate coupling journal, February 2018

Time-reversal symmetry-breaking superconductivity in Sr2RuO4 journal, August 1998

Absence of the O 17 Knight-shift changes across the first-order phase transition line in Sr 2 RuO 4 journal, November 2016

Spin-Orbit Coupling and Electronic Correlations in Sr 2 RuO 4 journal, March 2018

Competitions in Layered Ruthenates: Ferromagnetism versus Antiferromagnetism and Triplet versus Singlet Pairing journal, May 1999

Gap Structure of the Spin-Triplet Superconductor S r 2 R u O 4 Determined from the Field-Orientation Dependence of the Specific Heat journal, January 2004

Spin-orbit coupling and symmetry of the order parameter in strontium ruthenate journal, April 2006

Electronic theory for the normal-state spin dynamics in Sr 2 RuO 4 : Anisotropy due to spin-orbit coupling journal, May 2002

Anisotropy of the Incommensurate Fluctuations in S r 2 R u O 4 : A Study with Polarized Neutrons journal, March 2004

Discovery of orbital-selective Cooper pairing in FeSe journal, July 2017

Spin-triplet superconductivity in Sr2RuO4 identified by 17O Knight shift journal, December 1998

Coherence-Incoherence Crossover and the Mass-Renormalization Puzzles in Sr 2 RuO 4 journal, March 2011

Anisotropic Superconducting Gap in the Spin-Triplet Superconductor Sr 2 RuO 4 : Evidence from a Ru-NQR Study journal, June 2000

Theory of Chiral p -Wave Superconductivity with Near Nodes for Sr 2 RuO 4 journal, January 2019

Even odder after twenty-three years: the superconducting order parameter puzzle of Sr2RuO4 journal, July 2017

Anisotropic spin fluctuations in Sr 2 RuO 4 : Role of spin-orbit coupling and induced strain journal, December 2016

Hubbard U and Hund exchange J in transition metal oxides: Screening versus localization trends from constrained random phase approximation journal, October 2012

Vertical Line Nodes in the Superconducting Gap Structure of Sr 2 RuO 4 journal, March 2017

Superconductivity in the repulsive Hubbard model: An asymptotically exact weak-coupling solution journal, June 2010

Polar Kerr Effect as Probe for Time-Reversal Symmetry Breaking in Unconventional Superconductors text, January 2009

Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution text, January 2010

Theory of chiral $p$-wave superconductivity with near-nodes for Sr$_2$RuO$_4$ text, January 2018

Electronic theory for the normal state spin dynamics in Sr$_2$RuO$_4$: anisotropy due to spin-orbit coupling text, January 2002

Spin-Orbit Coupling and Symmetry of the Order Parameter in Strontium Ruthenate text, January 2004

Time-Reversal Symmetry Breaking Superconductivity in Sr2RuO4 text, January 1998

The role of spin-orbit coupling for the superconducting state in Sr_2RuO_4 text, January 1999

Title: Knight Shift and Leading Superconducting Instability from Spin Fluctuations in ${Sr}_{2} {RuO}_{4}$

Very low temperature thermal conductivity in the layered perovskite superconductor
journal, August 1998

Polar Kerr effect as probe for time-reversal symmetry breaking in unconventional superconductors
journal, May 2009

Strong Spin-Orbit Coupling Effects on the Fermi Surface of ${Sr}_{2} {RuO}_{4}$ and ${Sr}_{2} {RhO}_{4}$
journal, July 2008

Spin-Orbital Entanglement and the Breakdown of Singlets and Triplets in ${Sr}_{2} {RuO}_{4}$ Revealed by Spin- and Angle-Resolved Photoemission Spectroscopy
journal, March 2014

Anisotropic pairing in superconducting ${Sr}_{2} {RuO}_{4} :$ Ru NMR and NQR studies
journal, July 1997

Spin polarization enhanced by spin-triplet pairing in ${Sr}_{2} {RuO}_{4}$ probed by NMR
journal, September 2015

Temperature Dependence of the Penetration Depth in ${Sr}_{2} {RuO}_{4}$ : Evidence for Nodes in the Gap Function
journal, November 2000

Pairing symmetry of the one-band Hubbard model in the paramagnetic weak-coupling limit: A numerical RPA study
journal, September 2015

Inelastic neutron scattering study of magnetic excitations in ${Sr}_{2} {RuO}_{4}$
journal, August 2002

Spin Fluctuations in ${Sr}_{2} {RuO}_{4}$ from Polarized Neutron Scattering: Implications for Superconductivity
journal, February 2019

Universal Heat Transport in ${Sr}_{2} {RuO}_{4}$
journal, May 2002

Phenomenology of the superconducting state in Sr2RuO4
journal, May 1999

Effect of Ferromagnetic Spin Correlations on Superconductivity
journal, August 1966

Electronic band structure of the superconductor ${Sr}_{2}$ ${RuO}_{4}$
journal, January 1995

Constraints on the superconducting order parameter in Sr2RuO4 from oxygen-17 nuclear magnetic resonance
journal, September 2019

Paramagnetic Susceptibility in Superconductors
journal, May 1958

Theory of superconductivity in a three-orbital model of Sr ₂ RuO ₄
journal, October 2013

Inelastic neutron scattering study of the magnetic fluctuations in Sr $_{2}$ RuO $_{4}$
journal, August 2011

The role of spin-orbit coupling for the superconducting state in Sr ₂ RuO ₄
journal, February 2000

Pairing symmetry and dominant band in ${Sr}_{2}$ ${RuO}_{4}$
journal, June 2014

Renormalized band structure of Sr2RuO4: A quasiparticle tight-binding approach
journal, December 2013

Evidence for Incommensurate Spin Fluctuations in ${Sr}_{2} {RuO}_{4}$
journal, October 1999

Superconducting pairing in ${Sr}_{2} {RuO}_{4}$ from weak to intermediate coupling
journal, February 2018

Time-reversal symmetry-breaking superconductivity in Sr2RuO4
journal, August 1998

Absence of the ${}^{17}O$ Knight-shift changes across the first-order phase transition line in ${Sr}_{2} {RuO}_{4}$
journal, November 2016

Spin-Orbit Coupling and Electronic Correlations in ${Sr}_{2} {RuO}_{4}$
journal, March 2018

Competitions in Layered Ruthenates: Ferromagnetism versus Antiferromagnetism and Triplet versus Singlet Pairing
journal, May 1999

Gap Structure of the Spin-Triplet Superconductor ${S r}_{2} {R u O}_{4}$ Determined from the Field-Orientation Dependence of the Specific Heat
journal, January 2004

Spin-orbit coupling and symmetry of the order parameter in strontium ruthenate
journal, April 2006

Electronic theory for the normal-state spin dynamics in ${Sr}_{2} {RuO}_{4} :$ Anisotropy due to spin-orbit coupling
journal, May 2002

Anisotropy of the Incommensurate Fluctuations in ${S r}_{2} {R u O}_{4}$ : A Study with Polarized Neutrons
journal, March 2004

Discovery of orbital-selective Cooper pairing in FeSe
journal, July 2017

Spin-triplet superconductivity in Sr2RuO4 identified by 17O Knight shift
journal, December 1998

Coherence-Incoherence Crossover and the Mass-Renormalization Puzzles in ${Sr}_{2} {RuO}_{4}$
journal, March 2011

Anisotropic Superconducting Gap in the Spin-Triplet Superconductor ${Sr}_{2} {RuO}_{4}$ : Evidence from a Ru-NQR Study
journal, June 2000

Theory of Chiral $p$ -Wave Superconductivity with Near Nodes for ${Sr}_{2} {RuO}_{4}$
journal, January 2019

Even odder after twenty-three years: the superconducting order parameter puzzle of Sr2RuO4
journal, July 2017

Anisotropic spin fluctuations in ${Sr}_{2} {RuO}_{4}$ : Role of spin-orbit coupling and induced strain
journal, December 2016

Hubbard $U$ and Hund exchange $J$ in transition metal oxides: Screening versus localization trends from constrained random phase approximation
journal, October 2012

Vertical Line Nodes in the Superconducting Gap Structure of ${Sr}_{2} {RuO}_{4}$
journal, March 2017

Superconductivity in the repulsive Hubbard model: An asymptotically exact weak-coupling solution
journal, June 2010

Polar Kerr Effect as Probe for Time-Reversal Symmetry Breaking in Unconventional Superconductors
text, January 2009

Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
text, January 2010

Theory of chiral $p$-wave superconductivity with near-nodes for Sr$_2$RuO$_4$
text, January 2018

Electronic theory for the normal state spin dynamics in Sr$_2$RuO$_4$: anisotropy due to spin-orbit coupling
text, January 2002

Spin-Orbit Coupling and Symmetry of the Order Parameter in Strontium Ruthenate
text, January 2004

Time-Reversal Symmetry Breaking Superconductivity in Sr2RuO4
text, January 1998

The role of spin-orbit coupling for the superconducting state in Sr_2RuO_4
text, January 1999