Preferred Spin Excitations in the Bilayer Iron-Based Superconductor $CaK(Fe_{0.96}Ni_{0.04})_4As_4$ with Spin-Vortex Crystal Order

Liu, Chang; Bourges, Philippe; Sidis, Yvan; Xie, Tao; He, Guanghong; Bourdarot, Frédéric; Danilkin, Sergey; Ghosh, Haranath; Ghosh, Soumyadeep; Ma, Xiaoyan; Li, Shiliang; Li, Yuan; Luo, Huiqian

doi:10.1103/physrevlett.128.137003

Title: Preferred Spin Excitations in the Bilayer Iron-Based Superconductor $$CaK(Fe_{0.96}Ni_{0.04})_4As_4$$ with Spin-Vortex Crystal Order

Abstract

Spin-orbit coupling (SOC) is a key to understand the magnetically driven superconductivity in iron-based superconductors, where both local and itinerant electrons are present and the orbital angular momentum is not completely quenched. Here, we report a neutron scattering study on the bilayer compound CaK(Fe_0.96Ni_0.04)₄As₄ with superconductivity coexisting with a noncollinear spin-vortex crystal magnetic order that preserves the tetragonal symmetry of the Fe-Fe plane. In the superconducting state, two spin resonance modes with odd and even L symmetries due to the bilayer coupling are found similar to the undoped compound CaKFe₄As₄ but at lower energies. Polarization analysis reveals that the odd mode is c-axis polarized, and the low-energy spin anisotropy can persist to the paramagnetic phase at high temperature, which closely resembles other systems with in-plane collinear and c-axis biaxial magnetic orders. Overall, these results provide the missing piece of the puzzle on the SOC effect in iron-pnictide superconductors, and also establish a common picture of c-axis preferred magnetic excitations below T_c regardless of the details of magnetic pattern or lattice symmetry.

Authors:

^[1]; Bourges, Philippe ^[2]; Sidis, Yvan ^[2];

^[3]; He, Guanghong ^[4]; Bourdarot, Frédéric ^[5]; Danilkin, Sergey ^[6];

^[7];

^[7]; Ma, Xiaoyan ^[1]; Li, Shiliang ^[8];

^[9];

^[10]

Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Physics. Beijing National Lab. for Condensed Matter Physics (BNLCP-CAS); University of Chinese Academy of Sciences, Beijing (China)
Univ. Paris-Saclay, Gif-sur-Yvette (France). Laboratoire Léon Brillouin; Alternative Energies and Atomic Energy Commission (CEA), Saclay (France)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Peking Univ., Beijing (China). International Center for Quantum Materials
Univ. Grenoble Alpes, Grenoble (France)
Australian Nuclear Science and Technology Organisation (ANSTO), Lucas Heights, NSW (Australia). Australian Centre for Neutron Scattering
Raja Ramanna Centre for Advanced Technology, Indore (India); Homi Bhabha National Inst., Mumbai (India)
Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Physics. Beijing National Lab. for Condensed Matter Physics (BNLCP-CAS); University of Chinese Academy of Sciences, Beijing (China); Songshan Lake Materials Lab., Dongguan (China)
Peking Univ., Beijing (China). International Center for Quantum Materials; Collaborative Innovation Center of Quantum Matter, Beijing (China)
Chinese Academy of Sciences (CAS), Beijing (China). Inst. of Physics. Beijing National Lab. for Condensed Matter Physics (BNLCP-CAS); Songshan Lake Materials Lab., Dongguan (China)

Publication Date:: Thu Mar 31 00:00:00 EDT 2022

Research Org.:: Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division; National Key Research and Development Program of China; National Natural Science Foundation of China (NSFC)

OSTI Identifier:: 1863280

Grant/Contract Number:: AC05-00OR22725; 2020YFA0406003; 2018YFA0704200; 2018YFA0305602; 2017YFA0302900; 11822411; 11888101; 11874069; 11961160699; 11674406

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review Letters

Additional Journal Information:: Journal Volume: 128; Journal Issue: 13; 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; spin dynamics; spin fluctuations; spin-orbit coupling; superconductivity; iron-based superconductors; superconductors; unconventional superconductors; inelastic neutron scattering; neutron scattering

Citation Formats


                    Liu, Chang, Bourges, Philippe, Sidis, Yvan, Xie, Tao, He, Guanghong, Bourdarot, Frédéric, Danilkin, Sergey, Ghosh, Haranath, Ghosh, Soumyadeep, Ma, Xiaoyan, Li, Shiliang, Li, Yuan, and Luo, Huiqian. Preferred Spin Excitations in the Bilayer Iron-Based Superconductor $CaK(Fe_{0.96}Ni_{0.04})_4As_4$ with Spin-Vortex Crystal Order.  United States: N. p., 2022. 
Web.  doi:10.1103/physrevlett.128.137003.

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                    Liu, Chang, Bourges, Philippe, Sidis, Yvan, Xie, Tao, He, Guanghong, Bourdarot, Frédéric, Danilkin, Sergey, Ghosh, Haranath, Ghosh, Soumyadeep, Ma, Xiaoyan, Li, Shiliang, Li, Yuan, & Luo, Huiqian. Preferred Spin Excitations in the Bilayer Iron-Based Superconductor $CaK(Fe_{0.96}Ni_{0.04})_4As_4$ with Spin-Vortex Crystal Order.  United States.  https://doi.org/10.1103/physrevlett.128.137003

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                    Liu, Chang, Bourges, Philippe, Sidis, Yvan, Xie, Tao, He, Guanghong, Bourdarot, Frédéric, Danilkin, Sergey, Ghosh, Haranath, Ghosh, Soumyadeep, Ma, Xiaoyan, Li, Shiliang, Li, Yuan, and Luo, Huiqian. Thu .  
"Preferred Spin Excitations in the Bilayer Iron-Based Superconductor $CaK(Fe_{0.96}Ni_{0.04})_4As_4$ with Spin-Vortex Crystal Order".  United States.  https://doi.org/10.1103/physrevlett.128.137003.  https://www.osti.gov/servlets/purl/1863280.

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@article{osti_1863280,

  title        = {Preferred Spin Excitations in the Bilayer Iron-Based Superconductor $CaK(Fe_{0.96}Ni_{0.04})_4As_4$ with Spin-Vortex Crystal Order},

  author       = {Liu, Chang and Bourges, Philippe and Sidis, Yvan and Xie, Tao and He, Guanghong and Bourdarot, Frédéric and Danilkin, Sergey and Ghosh, Haranath and Ghosh, Soumyadeep and Ma, Xiaoyan and Li, Shiliang and Li, Yuan and Luo, Huiqian},

  abstractNote = {Spin-orbit coupling (SOC) is a key to understand the magnetically driven superconductivity in iron-based superconductors, where both local and itinerant electrons are present and the orbital angular momentum is not completely quenched. Here, we report a neutron scattering study on the bilayer compound CaK(Fe0.96Ni0.04)4As4 with superconductivity coexisting with a noncollinear spin-vortex crystal magnetic order that preserves the tetragonal symmetry of the Fe-Fe plane. In the superconducting state, two spin resonance modes with odd and even L symmetries due to the bilayer coupling are found similar to the undoped compound CaKFe4As4 but at lower energies. Polarization analysis reveals that the odd mode is c-axis polarized, and the low-energy spin anisotropy can persist to the paramagnetic phase at high temperature, which closely resembles other systems with in-plane collinear and c-axis biaxial magnetic orders. Overall, these results provide the missing piece of the puzzle on the SOC effect in iron-pnictide superconductors, and also establish a common picture of c-axis preferred magnetic excitations below Tc regardless of the details of magnetic pattern or lattice symmetry.},

  doi          = {10.1103/physrevlett.128.137003},

  journal      = {Physical Review Letters},

  number       = 13,

  volume       = 128,

  place        = {United States},

  year         = {Thu Mar 31 00:00:00 EDT 2022},

  month        = {Thu Mar 31 00:00:00 EDT 2022}

}

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Title: Preferred Spin Excitations in the Bilayer Iron-Based Superconductor $$CaK(Fe_{0.96}Ni_{0.04})_4As_4$$ with Spin-Vortex Crystal Order

Abstract

Citation Formats

Dispersion of neutron spin resonance mode in Ba 0.67 K 0.33 Fe 2 As 2 * journal, December 2021

Impact of local-moment fluctuations on the magnetic degeneracy of iron arsenide superconductors journal, April 2014

Generalized Gradient Approximation Made Simple journal, October 1996

Antiferromagnetic order in CaK ( Fe 1 − x Ni x ) 4 As 4 and its interplay with superconductivity journal, June 2018

Orbital-dependent modulation of the superconducting gap in uniaxially strained Ba 0.6 K 0.4 Fe 2 As 2 journal, August 2021

Nematic spin correlations in the tetragonal state of uniaxial-strained BaFe2-xNixAs2 journal, July 2014

Iron-based high transition temperature superconductors journal, July 2014

Double-Q spin-density wave in iron arsenide superconductors journal, January 2016

Prominent Role of Spin-Orbit Coupling in FeSe Revealed by Inelastic Neutron Scattering journal, May 2017

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Hedgehog spin-vortex crystal stabilized in a hole-doped iron-based superconductor journal, February 2018

Crystal growth and phase diagram of 112-type iron pnictide superconductor Ca 1− y La y Fe 1− x Ni x As 2 journal, July 2017

Splitting of Resonance Excitations in Nearly Optimally Doped Ba ( Fe 0.94 Co 0.06 ) 2 As 2 : An Inelastic Neutron Scattering Study with Polarization Analysis journal, March 2013

Anisotropy of incommensurate magnetic excitations in slightly overdoped Ba 0.5 K 0.5 Fe 2 As 2 probed by polarized inelastic neutron scattering experiments journal, September 2014

Longitudinal Spin Excitations and Magnetic Anisotropy in Antiferromagnetically Ordered Ba Fe 2 As 2 journal, December 2013

Transition from Three-Dimensional Anisotropic Spin Excitations to Two-Dimensional Spin Excitations by Electron Doping the FeAs-Based BaFe 1.96 Ni 0.04 As 2 Superconductor journal, August 2009

Magnetic order close to superconductivity in the iron-based layered LaO1-xF x FeAs systems journal, May 2008

The effect of collective spin-1 excitations on electronic spectra in high- T c superconductors journal, January 2006

Orbital Selectivity in Electron Correlations and Superconducting Pairing of Iron-Based Superconductors journal, May 2021

"Special points for Brillouin-zone integrations"—a reply journal, August 1977

Systematic growth of BaFe 2 − x Ni x As 2 large crystals journal, March 2011

Virtual crystal approximation revisited: Application to dielectric and piezoelectric properties of perovskites journal, March 2000

Spin excitation anisotropy in the optimally isovalent-doped superconductor BaFe 2 ( As 0.7 P 0.3 ) 2 journal, November 2017

Electronic properties, low-energy Hamiltonian, and superconducting instabilities in CaKFe 4 As 4 journal, September 2017

Anisotropic neutron spin resonance in superconducting BaFe 1.9 Ni 0.1 As 2 journal, August 2010

A new approach to variable metric algorithms journal, March 1970

Unconventional superconductivity in Ba0.6K0.4Fe2As2 from inelastic neutron scattering journal, December 2008

Neutron Spin Resonance in a Quasi-Two-Dimensional Iron-Based Superconductor journal, September 2020

Antiferromagnetic order and spin dynamics in iron-based superconductors journal, August 2015

Anisotropic thermodynamic and transport properties of single-crystalline CaKFe 4 As 4 journal, August 2016

Inelastic neutron scattering study of spin excitations in the superconducting state of high temperature superconductors journal, September 2007

Polarized neutron scattering studies of magnetic excitations in electron-overdoped superconducting BaFe 1.85 Ni 0.15 As 2 journal, June 2012

FermiSurfer: Fermi-surface viewer providing multiple representation schemes journal, June 2019

Superconductivity-induced re-entrance of the orthorhombic distortion in Ba1−xKxFe2As2 journal, July 2015

High- T c superconductivity in CaKFe 4 As 4 in absence of nematic fluctuations journal, October 2018

Magnetic anisotropy in hole-doped superconducting Ba 0.67 K 0.33 Fe 2 As 2 probed by polarized inelastic neutron scattering journal, February 2013

Special points for Brillouin-zone integrations journal, June 1976

New-Structure-Type Fe-Based Superconductors: Ca A Fe 4 As 4 ( A = K, Rb, Cs) and Sr A Fe 4 As 4 ( A = Rb, Cs) journal, March 2016

Anisotropic resonance modes emerging in an antiferromagnetic superconducting state journal, September 2017

In-plane uniaxial pressure-induced out-of-plane antiferromagnetic moment and critical fluctuations in BaFe2As2 journal, November 2020

Local magnetic anisotropy in BaFe 2 As 2 : A polarized inelastic neutron scattering study journal, August 2012

Competing Orders in FeAs Layers journal, October 2008

Strong Correlations from Hund’s Coupling journal, April 2013

Anisotropic neutron spin resonance in underdoped superconducting NaFe 1 − x Co x As journal, October 2014

Magnetic fluctuations and superconducting properties of CaKFe 4 As 4 studied by As 75 NMR journal, September 2017

Advances in spherical neutron polarimetry with Cryopad journal, February 2005

Vestigial chiral and charge orders from bidirectional spin-density waves: Application to the iron-based superconductors journal, January 2016

Optimization of the crystal growth of the superconductor CaKFe 4 As 4 from solution in the FeAs − CaFe 2 As 2 − KFe 2 As 2 system journal, June 2017

High-temperature superconductivity in iron pnictides and chalcogenides journal, March 2016

Magnetism and its microscopic origin in iron-based high-temperature superconductors journal, October 2012

Neutron scattering resonance and the iron-pnictide superconducting gap journal, April 2009

Spin fluctuations in iron pnictides and chalcogenides: From antiferromagnetism to superconductivity journal, January 2016

Close relationship between superconductivity and the bosonic mode in Ba0.6K0.4Fe2As2 and Na(Fe0.975Co0.025)As journal, November 2012

Strong spin resonance mode associated with suppression of soft magnetic ordering in hole-doped Ba1-xNaxFe2As2 journal, December 2019

1144 Fe based superconductors: natural example of orbital selective self-doping and chemical pressure induced Lifshitz transition journal, January 2021

Intertwined spin-orbital coupled orders in the iron-based superconductors journal, July 2019

Advanced capabilities for materials modelling with Quantum ESPRESSO journal, October 2017

Dispersion of neutron spin resonance mode in Ba _0.67 K _0.33 Fe ₂ As ₂ *
journal, December 2021

Impact of local-moment fluctuations on the magnetic degeneracy of iron arsenide superconductors
journal, April 2014

Generalized Gradient Approximation Made Simple
journal, October 1996

Antiferromagnetic order in ${CaK (Fe}_{1 - x} {Ni}_{x})_{4} {As}_{4}$ and its interplay with superconductivity
journal, June 2018

Orbital-dependent modulation of the superconducting gap in uniaxially strained ${Ba}_{0.6} K_{0.4} {Fe}_{2} {As}_{2}$
journal, August 2021

Nematic spin correlations in the tetragonal state of uniaxial-strained BaFe2-xNixAs2
journal, July 2014

Iron-based high transition temperature superconductors
journal, July 2014

Double-Q spin-density wave in iron arsenide superconductors
journal, January 2016

Prominent Role of Spin-Orbit Coupling in FeSe Revealed by Inelastic Neutron Scattering
journal, May 2017

Manifestations of nematic degrees of freedom in the magnetic, elastic, and superconducting properties of the iron pnictides
journal, July 2012

Hedgehog spin-vortex crystal stabilized in a hole-doped iron-based superconductor
journal, February 2018

Crystal growth and phase diagram of 112-type iron pnictide superconductor Ca _{1− y} La _y Fe _{1− x} Ni _x As ₂
journal, July 2017

Splitting of Resonance Excitations in Nearly Optimally Doped $Ba ({Fe}_{0.94} {Co}_{0.06})_{2} {As}_{2}$ : An Inelastic Neutron Scattering Study with Polarization Analysis
journal, March 2013

Anisotropy of incommensurate magnetic excitations in slightly overdoped ${Ba}_{0.5} K_{0.5} {Fe}_{2} {As}_{2}$ probed by polarized inelastic neutron scattering experiments
journal, September 2014

Longitudinal Spin Excitations and Magnetic Anisotropy in Antiferromagnetically Ordered $Ba {Fe}_{2} {As}_{2}$
journal, December 2013

Transition from Three-Dimensional Anisotropic Spin Excitations to Two-Dimensional Spin Excitations by Electron Doping the FeAs-Based ${BaFe}_{1.96} {Ni}_{0.04} {As}_{2}$ Superconductor
journal, August 2009

Magnetic order close to superconductivity in the iron-based layered LaO1-xF x FeAs systems
journal, May 2008

The effect of collective spin-1 excitations on electronic spectra in high- T _c superconductors
journal, January 2006

Orbital Selectivity in Electron Correlations and Superconducting Pairing of Iron-Based Superconductors
journal, May 2021

"Special points for Brillouin-zone integrations"—a reply
journal, August 1977

Systematic growth of BaFe _{2 − x} Ni _x As ₂ large crystals
journal, March 2011

Virtual crystal approximation revisited: Application to dielectric and piezoelectric properties of perovskites
journal, March 2000

Spin excitation anisotropy in the optimally isovalent-doped superconductor ${BaFe}_{2} {({As}_{0.7} P_{0.3})}_{2}$
journal, November 2017

Electronic properties, low-energy Hamiltonian, and superconducting instabilities in ${CaKFe}_{4} {As}_{4}$
journal, September 2017

Anisotropic neutron spin resonance in superconducting ${BaFe}_{1.9} {Ni}_{0.1} {As}_{2}$
journal, August 2010

A new approach to variable metric algorithms
journal, March 1970

Unconventional superconductivity in Ba0.6K0.4Fe2As2 from inelastic neutron scattering
journal, December 2008

Neutron Spin Resonance in a Quasi-Two-Dimensional Iron-Based Superconductor
journal, September 2020

Antiferromagnetic order and spin dynamics in iron-based superconductors
journal, August 2015

Anisotropic thermodynamic and transport properties of single-crystalline ${CaKFe}_{4} {As}_{4}$
journal, August 2016

Inelastic neutron scattering study of spin excitations in the superconducting state of high temperature superconductors
journal, September 2007

Polarized neutron scattering studies of magnetic excitations in electron-overdoped superconducting BaFe $_{1.85}$ Ni $_{0.15}$ As $_{2}$
journal, June 2012

FermiSurfer: Fermi-surface viewer providing multiple representation schemes
journal, June 2019

Superconductivity-induced re-entrance of the orthorhombic distortion in Ba1−xKxFe2As2
journal, July 2015

High- $T_{c}$ superconductivity in ${CaKFe}_{4} {As}_{4}$ in absence of nematic fluctuations
journal, October 2018

Magnetic anisotropy in hole-doped superconducting Ba $_{0.67}$ K $_{0.33}$ Fe $_{2}$ As $_{2}$ probed by polarized inelastic neutron scattering
journal, February 2013

Special points for Brillouin-zone integrations
journal, June 1976

New-Structure-Type Fe-Based Superconductors: Ca A Fe ₄ As ₄ ( A = K, Rb, Cs) and Sr A Fe ₄ As ₄ ( A = Rb, Cs)
journal, March 2016

Anisotropic resonance modes emerging in an antiferromagnetic superconducting state
journal, September 2017

In-plane uniaxial pressure-induced out-of-plane antiferromagnetic moment and critical fluctuations in BaFe2As2
journal, November 2020

Local magnetic anisotropy in BaFe $_{2}$ As $_{2}$ : A polarized inelastic neutron scattering study
journal, August 2012

Competing Orders in FeAs Layers
journal, October 2008

Strong Correlations from Hund’s Coupling
journal, April 2013

Anisotropic neutron spin resonance in underdoped superconducting ${NaFe}_{1 - x} {Co}_{x} As$
journal, October 2014

Magnetic fluctuations and superconducting properties of ${CaKFe}_{4} {As}_{4}$ studied by ${}^{75}{As}$ NMR
journal, September 2017

Advances in spherical neutron polarimetry with Cryopad
journal, February 2005

Vestigial chiral and charge orders from bidirectional spin-density waves: Application to the iron-based superconductors
journal, January 2016

Optimization of the crystal growth of the superconductor ${CaKFe}_{4} {As}_{4}$ from solution in the $FeAs − {CaFe}_{2} {As}_{2} − {KFe}_{2} {As}_{2}$ system
journal, June 2017

High-temperature superconductivity in iron pnictides and chalcogenides
journal, March 2016

Magnetism and its microscopic origin in iron-based high-temperature superconductors
journal, October 2012

Neutron scattering resonance and the iron-pnictide superconducting gap
journal, April 2009

Spin fluctuations in iron pnictides and chalcogenides: From antiferromagnetism to superconductivity
journal, January 2016

Close relationship between superconductivity and the bosonic mode in Ba0.6K0.4Fe2As2 and Na(Fe0.975Co0.025)As
journal, November 2012

Strong spin resonance mode associated with suppression of soft magnetic ordering in hole-doped Ba1-xNaxFe2As2
journal, December 2019

1144 Fe based superconductors: natural example of orbital selective self-doping and chemical pressure induced Lifshitz transition
journal, January 2021

Intertwined spin-orbital coupled orders in the iron-based superconductors
journal, July 2019

Advanced capabilities for materials modelling with Quantum ESPRESSO
journal, October 2017