Distinguishing between s+id and s+is pairing symmetries in multiband superconductors through spontaneous magnetization pattern induced by a defect

Lin, Shi-Zeng; Maiti, Saurabh; Chubukov, Andrey

doi:10.1103/PhysRevB.94.064519

Title: Distinguishing between $s + i d$ and $s + i s$ pairing symmetries in multiband superconductors through spontaneous magnetization pattern induced by a defect

Journal Article · Mon Aug 29 00:00:00 EDT 2016 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.94.064519· OSTI ID:1459626

^[1]; Maiti, Saurabh ^[2]; Chubukov, Andrey ^[3]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Univ. of Florida, Gainesville, FL (United States). Dept. of Physics
Univ. of Minnesota, Minneapolis, MN (United States). Dept. of Physics

The symmetry of the pairing state in iron pnictide superconductor Ba_1-xK_xFe₂As₂ is still controversial. At optimal doping (x ≈ 0.4), it is very likely s wave, but for x = 1 there are experimental and theoretical arguments for both s wave and d wave. Depending on the choice for x = 1 , intermediate s + i s and s + i d states have been proposed for intermediate doping 0.4 < x < 1 . In both states, the time-reversal symmetry is broken and a spontaneous magnetization is allowed. Here in this work we study a spontaneous magnetization induced by a nonmagnetic defect in the s + i s and s + i d states by using a perturbation theory and numerical calculations for the Ginzburg-Landau free energy functional. We show that the angular dependence of the magnetization is distinct in these two states due to the difference in symmetry properties of the order parameters. Our results indicate a possible way to distinguish between the s + i s and s + i d pairing symmetries in multiband superconductors.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program

Grant/Contract Number:: AC52-06NA25396; SC0014402

OSTI ID:: 1459626

Alternate ID(s):: OSTI ID: 1310845

Report Number(s):: LA-UR-16-24723; PRBMDO; TRN: US1901584

Journal Information:: Physical Review B, Vol. 94, Issue 6; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 26 works

Citation information provided by
Web of Science

References (56)

Strong Coupling Theory for Superconducting Iron Pnictides Chen, Wei-Qiang; Yang, Kai-Yu; Zhou, Yi Physical Review Letters, Vol. 102, Issue 4 https://doi.org/10.1103/PhysRevLett.102.047006	journal	January 2009
Functional renormalization group for multi-orbital Fermi surface instabilities Platt, C.; Hanke, W.; Thomale, R. Advances in Physics, Vol. 62, Issue 4-6 https://doi.org/10.1080/00018732.2013.862020	journal	November 2013
Unconventional superconductivity in Ba0.6K0.4Fe2As2 from inelastic neutron scattering Christianson, A. D.; Goremychkin, E. A.; Osborn, R. Nature, Vol. 456, Issue 7224 https://doi.org/10.1038/nature07625	journal	December 2008
Unconventional thermoelectric effect in superconductors that break time-reversal symmetry Silaev, Mihail; Garaud, Julien; Babaev, Egor Physical Review B, Vol. 92, Issue 17 https://doi.org/10.1103/PhysRevB.92.174510	journal	November 2015
Universality of superconducting gaps in overdoped Ba $_{0.3}$ K $_{0.7}$ Fe $_{2}$ As $_{2}$ observed by angle-resolved photoemission spectroscopy Nakayama, K.; Sato, T.; Richard, P. Physical Review B, Vol. 83, Issue 2 https://doi.org/10.1103/PhysRevB.83.020501	journal	January 2011
Time-Reversal Symmetry Breaking Superconductivity in the Coexistence Phase with Magnetism in Fe Pnictides Hinojosa, Alberto; Fernandes, Rafael M.; Chubukov, Andrey V. Physical Review Letters, Vol. 113, Issue 16 https://doi.org/10.1103/PhysRevLett.113.167001	journal	October 2014
Phase solitons in multi-band superconductors with and without time-reversal symmetry Lin, Shi-Zeng; Hu, Xiao New Journal of Physics, Vol. 14, Issue 6 https://doi.org/10.1088/1367-2630/14/6/063021	journal	June 2012
Two-Gap Superconductivity in ${Ba}_{1 - x} K_{x} {Fe}_{2} {As}_{2}$ : A Complementary Study of the Magnetic Penetration Depth by Muon-Spin Rotation and Angle-Resolved Photoemission Khasanov, R.; Evtushinsky, D. V.; Amato, A. Physical Review Letters, Vol. 102, Issue 18 https://doi.org/10.1103/PhysRevLett.102.187005	journal	May 2009
Sudden reversal in the pressure dependence of Tc in the iron-based superconductor KFe2As2 Tafti, F. F.; Juneau-Fecteau, A.; Delage, M-È. Nature Physics, Vol. 9, Issue 6 https://doi.org/10.1038/nphys2617	journal	May 2013
Unconventional Superconductivity with a Sign Reversal in the Order Parameter of ${LaFeAsO}_{1 - x} F_{x}$ Mazin, I. I.; Singh, D. J.; Johannes, M. D. Physical Review Letters, Vol. 101, Issue 5 https://doi.org/10.1103/PhysRevLett.101.057003	journal	July 2008
Conventional mechanisms for exotic superconductivity Agterberg, D. F.; Barzykin, Victor; Gor’kov, Lev P. Physical Review B, Vol. 60, Issue 21 https://doi.org/10.1103/PhysRevB.60.14868	journal	December 1999
Massless Leggett Mode in Three-Band Superconductors with Time-Reversal-Symmetry Breaking Lin, Shi-Zeng; Hu, Xiao Physical Review Letters, Vol. 108, Issue 17 https://doi.org/10.1103/PhysRevLett.108.177005	journal	April 2012
Magnetism, superconductivity, and pairing symmetry in iron-based superconductors Chubukov, A. V.; Efremov, D. V.; Eremin, I. Physical Review B, Vol. 78, Issue 13 https://doi.org/10.1103/PhysRevB.78.134512	journal	October 2008
Pairing State with a Time-Reversal Symmetry Breaking in FeAs-Based Superconductors Lee, Wei-Cheng; Zhang, Shou-Cheng; Wu, Congjun Physical Review Letters, Vol. 102, Issue 21 https://doi.org/10.1103/PhysRevLett.102.217002	journal	May 2009
Universal Heat Conduction in the Iron Arsenide Superconductor ${KFe}_{2} {As}_{2}$ : Evidence of a $d$ -Wave State Reid, J. -Ph.; Tanatar, M. A.; Juneau-Fecteau, A. Physical Review Letters, Vol. 109, Issue 8 https://doi.org/10.1103/PhysRevLett.109.087001	journal	August 2012
Zero-field $μ$ SR search for a time-reversal-symmetry-breaking mixed pairing state in superconducting Ba $_{1 - x}$ K $_{x}$ Fe $_{2}$ As $_{2}$ Mahyari, Z. Lotfi; Cannell, A.; Gomez, C. Physical Review B, Vol. 89, Issue 2 https://doi.org/10.1103/PhysRevB.89.020502	journal	January 2014
Unconventional Pairing Originating from the Disconnected Fermi Surfaces of Superconducting ${LaFeAsO}_{1 - x} F_{x}$ Kuroki, Kazuhiko; Onari, Seiichiro; Arita, Ryotaro Physical Review Letters, Vol. 101, Issue 8 https://doi.org/10.1103/PhysRevLett.101.087004	journal	August 2008
Time reversal symmetry breakdown in normal and superconducting states in frustrated three-band systems Bojesen, Troels Arnfred; Babaev, Egor; Sudbø, Asle Physical Review B, Vol. 88, Issue 22 https://doi.org/10.1103/PhysRevB.88.220511	journal	December 2013
Length scales, collective modes, and type-1.5 regimes in three-band superconductors Carlström, Johan; Garaud, Julien; Babaev, Egor Physical Review B, Vol. 84, Issue 13 https://doi.org/10.1103/PhysRevB.84.134518	journal	October 2011
Observation of Fermi-surface–dependent nodeless superconducting gaps in Ba _0.6 K _0.4 Fe ₂ As ₂ Ding, H.; Richard, P.; Nakayama, K. EPL (Europhysics Letters), Vol. 83, Issue 4 https://doi.org/10.1209/0295-5075/83/47001	journal	July 2008
Band Structure and Fermi Surface of an Extremely Overdoped Iron-Based Superconductor ${KFe}_{2} {As}_{2}$ Sato, T.; Nakayama, K.; Sekiba, Y. Physical Review Letters, Vol. 103, Issue 4 https://doi.org/10.1103/PhysRevLett.103.047002	journal	July 2009
Near-degeneracy of several pairing channels in multiorbital models for the Fe pnictides Graser, S.; Maier, T. A.; Hirschfeld, P. J. New Journal of Physics, Vol. 11, Issue 2 https://doi.org/10.1088/1367-2630/11/2/025016	journal	February 2009
Vortex states and the phase diagram of a multiple-component Ginzburg-Landau theory with competing repulsive and attractive vortex interactions Lin, Shi-Zeng; Hu, Xiao Physical Review B, Vol. 84, Issue 21 https://doi.org/10.1103/PhysRevB.84.214505	journal	December 2011
Domain Walls and Their Experimental Signatures in $s + i s$ Superconductors Garaud, Julien; Babaev, Egor Physical Review Letters, Vol. 112, Issue 1 https://doi.org/10.1103/PhysRevLett.112.017003	journal	January 2014
Model of collective modes in three-band superconductors with repulsive interband interactions Stanev, Valentin Physical Review B, Vol. 85, Issue 17 https://doi.org/10.1103/PhysRevB.85.174520	journal	May 2012
Three-band superconductivity and the order parameter that breaks time-reversal symmetry Stanev, Valentin; Tešanović, Zlatko Physical Review B, Vol. 81, Issue 13 https://doi.org/10.1103/PhysRevB.81.134522	journal	April 2010
$s + i s$ state with broken time-reversal symmetry in Fe-based superconductors Maiti, Saurabh; Chubukov, Andrey V. Physical Review B, Vol. 87, Issue 14 https://doi.org/10.1103/PhysRevB.87.144511	journal	April 2013
Ground state, collective mode, phase soliton and vortex in multiband superconductors Lin, Shi-Zeng Journal of Physics: Condensed Matter, Vol. 26, Issue 49 https://doi.org/10.1088/0953-8984/26/49/493202	journal	November 2014
Leggett modes in iron-based superconductors as a probe of time-reversal symmetry breaking Marciani, M.; Fanfarillo, L.; Castellani, C. Physical Review B, Vol. 88, Issue 21 https://doi.org/10.1103/PhysRevB.88.214508	journal	December 2013
Mechanism for Explaining Differences in the Order Parameters of FeAs-Based and FeP-Based Pnictide Superconductors Thomale, Ronny; Platt, Christian; Hanke, Werner Physical Review Letters, Vol. 106, Issue 18 https://doi.org/10.1103/PhysRevLett.106.187003	journal	May 2011
Pairing in the iron arsenides: a functional RG treatment Platt, Christian; Honerkamp, Carsten; Hanke, Werner New Journal of Physics, Vol. 11, Issue 5 https://doi.org/10.1088/1367-2630/11/5/055058	journal	May 2009
Spontaneous currents in a superconductor with $s + i s$ symmetry Maiti, Saurabh; Sigrist, Manfred; Chubukov, Andrey Physical Review B, Vol. 91, Issue 16 https://doi.org/10.1103/PhysRevB.91.161102	journal	April 2015
Quasiparticle heat transport in single-crystalline ${Ba}_{1 - x} K_{x} {Fe}_{2} {As}_{2}$ : Evidence for a $k$ -dependent superconducting gap without nodes Luo, X. G.; Tanatar, M. A.; Reid, J. -Ph. Physical Review B, Vol. 80, Issue 14 https://doi.org/10.1103/PhysRevB.80.140503	journal	October 2009
From d-wave to s-wave pairing in the iron-pnictide superconductor (Ba,K)Fe ₂ As ₂ Reid, J-Ph; Juneau-Fecteau, A.; Gordon, R. T. Superconductor Science and Technology, Vol. 25, Issue 8 https://doi.org/10.1088/0953-2048/25/8/084013	journal	July 2012
Leggett mode in a strong-coupling model of iron arsenide superconductors Burnell, F. J.; Hu, Jiangping; Parish, Meera M. Physical Review B, Vol. 82, Issue 14 https://doi.org/10.1103/PhysRevB.82.144506	journal	October 2010
Balancing Act: Evidence for a Strong Subdominant $d$ -Wave Pairing Channel in ${Ba}_{0.6} K_{0.4} {Fe}_{2} {As}_{2}$ Böhm, T.; Kemper, A. F.; Moritz, B. Physical Review X, Vol. 4, Issue 4 https://doi.org/10.1103/PhysRevX.4.041046	journal	December 2014
Pairing Symmetry in a Two-Orbital Exchange Coupling Model of Oxypnictides Seo, Kangjun; Bernevig, B. Andrei; Hu, Jiangping Physical Review Letters, Vol. 101, Issue 20 https://doi.org/10.1103/PhysRevLett.101.206404	journal	November 2008
Evolution of symmetry and structure of the gap in iron-based superconductors with doping and interactions Maiti, S.; Korshunov, M. M.; Maier, T. A. Physical Review B, Vol. 84, Issue 22 https://doi.org/10.1103/PhysRevB.84.224505	journal	December 2011
Thermoelectric Signatures of Time-Reversal Symmetry Breaking States in Multiband Superconductors Garaud, Julien; Silaev, Mihail; Babaev, Egor Physical Review Letters, Vol. 116, Issue 9 https://doi.org/10.1103/PhysRevLett.116.097002	journal	March 2016
Extended $s_{\pm}$ scenario for the nuclear spin-lattice relaxation rate in superconducting pnictides Parker, D.; Dolgov, O. V.; Korshunov, M. M. Physical Review B, Vol. 78, Issue 13 https://doi.org/10.1103/PhysRevB.78.134524	journal	October 2008
Stability and Josephson effect of time-reversal-symmetry-broken multicomponent superconductivity induced by frustrated intercomponent coupling Hu, Xiao; Wang, Zhi Physical Review B, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevB.85.064516	journal	February 2012
Sudden reversal in the pressure dependence of $T_{c}$ in the iron-based superconductor CsFe $_{2}$ As $_{2}$ : A possible link between inelastic scattering and pairing symmetry Tafti, F. F.; Clancy, J. P.; Lapointe-Major, M. Physical Review B, Vol. 89, Issue 13 https://doi.org/10.1103/PhysRevB.89.134502	journal	April 2014
Octet-Line Node Structure of Superconducting Order Parameter in KFe2As2 Okazaki, K.; Ota, Y.; Kotani, Y. Science, Vol. 337, Issue 6100 https://doi.org/10.1126/science.1222793	journal	September 2012
Topological Solitons in Three-Band Superconductors with Broken Time Reversal Symmetry Garaud, Julien; Carlström, Johan; Babaev, Egor Physical Review Letters, Vol. 107, Issue 19 https://doi.org/10.1103/PhysRevLett.107.197001	journal	November 2011
Massless Leggett Mode in Three-band Superconductors with Time-Reversal-Symmetry Breaking Lin, Shi-Zeng; Hu, Xiao arXiv https://doi.org/10.48550/arxiv.1107.0814	text	January 2011
Topological solitons in three-band superconductors with broken time reversal symmetry Garaud, Julien; Carlstrom, Johan; Babaev, Egor arXiv https://doi.org/10.48550/arxiv.1107.0995	text	January 2011
Length scales, collective modes, and type-1.5 regimes in three-band superconductors Carlstrom, Johan; Garaud, Julien; Babaev, Egor arXiv https://doi.org/10.48550/arxiv.1107.4279	text	January 2011
Phase solitons in multi-band superconductors with and without time-reversal symmetry Lin, Shi-Zeng; Hu, Xiao arXiv https://doi.org/10.48550/arxiv.1111.3850	text	January 2011
s+is State with Broken Time Reversal Symmetry in Fe-Based Superconductors Maiti, Saurabh; Chubukov, Andrey V. arXiv https://doi.org/10.48550/arxiv.1302.2964	text	January 2013
Time reversal symmetry breakdown in normal and superconducting states in frustrated three-band systems Bojesen, Troels; Babaev, Egor; Sudbø, Asle arXiv https://doi.org/10.48550/arxiv.1306.2313	text	January 2013
Leggett modes in iron-based superconductors as a probe of Time Reversal Symmetry Breaking Marciani, M.; Fanfarillo, L.; Castellani, C. arXiv https://doi.org/10.48550/arxiv.1306.5545	text	January 2013
Domain walls and their experimental signatures in s+is superconductors Garaud, Julien; Babaev, Egor arXiv https://doi.org/10.48550/arxiv.1308.3220	text	January 2013
Functional Renormalization Group for multi-orbital Fermi Surface Instabilities Platt, Christian; Hanke, Werner; Thomale, Ronny arXiv https://doi.org/10.48550/arxiv.1310.6191	text	January 2013
Time-reversal symmetry breaking superconductivity in the coexistence phase with magnetism in Fe-pnictides Hinojosa, Alberto; Fernandes, Rafael M.; Chubukov, Andrey V. arXiv https://doi.org/10.48550/arxiv.1405.7077	text	January 2014
Ground state, collective mode, phase soliton and vortex in multiband superconductors Lin, Shi-Zeng arXiv https://doi.org/10.48550/arxiv.1408.5938	text	January 2014
Conventional mechanisms for "exotic" superconductivity Agterberg, D. F.; Barzykin, Victor; Gor'kov, Lev. P. arXiv https://doi.org/10.48550/arxiv.cond-mat/9906394	text	January 1999

Cited By (6)

Band-dependent superconducting gap in SrFe2(As0.65P0.35)2 studied by angle-resolved photoemission spectroscopy Suzuki, H.; Kobayashi, T.; Miyasaka, S. Scientific Reports, Vol. 9, Issue 1 https://doi.org/10.1038/s41598-019-52887-y	journal	November 2019
Skyrmionic chains and lattices in $s + i d$ superconductors Zhang, Ling-Feng; Zhang, Yan-Yan; Zha, Guo-Qiao Physical Review B, Vol. 101, Issue 6 https://doi.org/10.1103/physrevb.101.064501	journal	February 2020
Properties of dirty two-band superconductors with repulsive interband interaction: Normal modes, length scales, vortices, and magnetic response Garaud, Julien; Corticelli, Alberto; Silaev, Mihail Physical Review B, Vol. 98, Issue 1 https://doi.org/10.1103/physrevb.98.014520	journal	July 2018
Polarization of the spontaneous magnetic field and magnetic fluctuations in $s + is$ anisotropic multiband superconductors Vadimov, V. L.; Silaev, M. A. Physical Review B, Vol. 98, Issue 10 https://doi.org/10.1103/physrevb.98.104504	journal	September 2018
Properties of dirty two-bands superconductors with repulsive interband interaction: normal modes, length scales, vortices and magnetic response Garaud, Julien; Corticelli, Alberto; Silaev, Mihail arXiv https://doi.org/10.48550/arxiv.1802.07252	text	January 2018
Second-order Topological Superconductors with Mixed Pairing Zhu, Xiaoyu arXiv https://doi.org/10.48550/arxiv.1812.08896	text	January 2018