Intertwined spin-orbital coupled orders in the iron-based superconductors

Christensen, Morten H.; Kang, Jian; Fernandes, Rafael M.

doi:10.1103/physrevb.100.014512

Title: Intertwined spin-orbital coupled orders in the iron-based superconductors

Abstract

The underdoped phase diagram of the iron-based superconductors exemplifies the complexity common to many correlated materials. Indeed, multiple ordered states that break different symmetries but display comparable transition temperatures are present. Here we argue that such a complexity can be understood within a simple unifying framework. This framework, built to respect the symmetries of the nonsymmorphic space group of the FeAs/Se layer, consists of primary magnetically ordered states and their vestigial phases that intertwine spin and orbital degrees of freedom. All vestigial phases have Ising-like and zero wave-vector order parameters, described in terms of composite spin order and exotic orbital-order patterns such as spin-orbital loop currents, staggered atomic spin-orbit coupling, and emergent Rashba- and Dresselhaus-type spin-orbit interactions. Moreover, they host unusual phenomena, such as the electronematic effect, by which electric fields act as transverse fields to the nematic order parameter, and the ferro-Néel effect, by which a uniform magnetic field induces Néel order. Here, we discuss the experimental implications of our findings to iron-based superconductors and possible extensions to other correlated compounds with similar space groups.

Authors:

^[1]; Kang, Jian ^[2]; Fernandes, Rafael M. ^[1]

Univ. of Minnesota, Minneapolis, MN (United States)
Univ. of Minnesota, Minneapolis, MN (United States); Florida State Univ., Tallahassee, FL (United States)

Publication Date:: Mon Jul 15 00:00:00 EDT 2019

Research Org.:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

OSTI Identifier:: 1611764

Alternate Identifier(s):: OSTI ID: 1546437

Grant/Contract Number:: SC0012336

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review. B

Additional Journal Information:: Journal Volume: 100; Journal Issue: 1; Journal ID: ISSN 2469-9950

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials Science; Physics; Antiferromagnetism; Charge density waves; Exotic phases of matter; Magnetic anisotropy; Quantum criticality; Spin density waves; Spin-orbit coupling; Iron-based superconductors; Inversion symmetry

Citation Formats


                    Christensen, Morten H., Kang, Jian, and Fernandes, Rafael M. Intertwined spin-orbital coupled orders in the iron-based superconductors.  United States: N. p., 2019. 
Web.  doi:10.1103/physrevb.100.014512.

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                    Christensen, Morten H., Kang, Jian, & Fernandes, Rafael M. Intertwined spin-orbital coupled orders in the iron-based superconductors.  United States.  https://doi.org/10.1103/physrevb.100.014512

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                    Christensen, Morten H., Kang, Jian, and Fernandes, Rafael M. Mon .  
"Intertwined spin-orbital coupled orders in the iron-based superconductors".  United States.  https://doi.org/10.1103/physrevb.100.014512.  https://www.osti.gov/servlets/purl/1611764.

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@article{osti_1611764,

  title        = {Intertwined spin-orbital coupled orders in the iron-based superconductors},

  author       = {Christensen, Morten H. and Kang, Jian and Fernandes, Rafael M.},

  abstractNote = {The underdoped phase diagram of the iron-based superconductors exemplifies the complexity common to many correlated materials. Indeed, multiple ordered states that break different symmetries but display comparable transition temperatures are present. Here we argue that such a complexity can be understood within a simple unifying framework. This framework, built to respect the symmetries of the nonsymmorphic space group of the FeAs/Se layer, consists of primary magnetically ordered states and their vestigial phases that intertwine spin and orbital degrees of freedom. All vestigial phases have Ising-like and zero wave-vector order parameters, described in terms of composite spin order and exotic orbital-order patterns such as spin-orbital loop currents, staggered atomic spin-orbit coupling, and emergent Rashba- and Dresselhaus-type spin-orbit interactions. Moreover, they host unusual phenomena, such as the electronematic effect, by which electric fields act as transverse fields to the nematic order parameter, and the ferro-Néel effect, by which a uniform magnetic field induces Néel order. Here, we discuss the experimental implications of our findings to iron-based superconductors and possible extensions to other correlated compounds with similar space groups.},

  doi          = {10.1103/physrevb.100.014512},

  journal      = {Physical Review. B},

  number       = 1,

  volume       = 100,

  place        = {United States},

  year         = {Mon Jul 15 00:00:00 EDT 2019},

  month        = {Mon Jul 15 00:00:00 EDT 2019}

}

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Magnetic interactions in iron superconductors: A review
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Competing Orders in FeAs Layers
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Spin-driven nematic instability of the multiorbital Hubbard model: Application to iron-based superconductors
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Competing orders and spin-density-wave instability in La(O _1−x F _x )FeAs
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Science, Vol. 331, Issue 6016
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Microscopically derived Ginzburg-Landau theory for magnetic order in the iron pnictides
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Preemptive nematic order, pseudogap, and orbital order in the iron pnictides
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Fernandes, R. M.; Chubukov, A. V.; Knolle, J.
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Structural quantum criticality and superconductivity in iron-based superconductor Ba(Fe1-xCox)2As2
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Yoshizawa, Masahito; Kimura, Daichi; Chiba, Taiji
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Magnetically-Driven Suppression of Nematic Order in an Iron-Based Superconductor
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Amperean pairing and the pseudogap phase of cuprate superconductors
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Lee, Patrick A.
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Evidence for a nematic component to the Hidden Order parameter in URu2Si2 from differential elastoresistance measurements
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Riggs, Scott C.; Shapiro, M. C.; Maharaj, Akash V.
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Unfolding of the electronic structure through the induced representations of space groups: Application to Fe-based superconductors
text, January 2014

Tomić, Milan; Jeschke, Harald O.; Valentí, Roser
arXiv
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Symmetry of re-entrant tetragonal phase in Ba1-xNaxFe2As2: Magnetic versus orbital ordering mechanism
text, January 2014

Khalyavin, D. D.; Lovesey, S. W.; Manuel, P.
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Direct observation of spin-orbit coupling in iron-based superconductors
text, January 2014

Borisenko, Sergey; Evtushinsky, Danil; Morozov, Igor
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Spin-orbital interplay and topology in the nematic phase of iron pnictides
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Fanfarillo, L.; Cortijo, A.; Valenzuela, B.
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Distinguishing spin-orbit coupling and nematic order in the electronic spectrum of iron-based superconductors
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Antiferromagnetic order and spin dynamics in iron-based superconductors
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Dai, Pengcheng
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Magnetic interactions in iron superconductors: A review
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Vestigial chiral and charge orders from bidirectional spin-density waves: Application to the iron-based superconductors
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Fernandes, R. M.; Kivelson, S. A.; Berg, E.
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Allred, J. M.; Taddei, K. M.; Bugaris, D. E.
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Nematicity and magnetism in FeSe and other families of Fe-based superconductors
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Yamakawa, Youichi; Onari, Seiichiro; Kontani, Hiroshi
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Spin-Driven Nematic Instability of the Multi-Orbital Hubbard Model: Application to Iron-Based Superconductors
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Christensen, M. H.; Kang, Jian; Andersen, B. M.
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Complex phase diagram of Ba$_{1-x}$Na$_{x}$Fe$_{2}$As$_{2}$: a multitude of phases striving for the electronic entropy
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Taddei, K. M.; Allred, J. M.; Bugaris, D. E.
arXiv
DOI: 10.48550/arxiv.1601.05693

Magnetism, superconductivity, and spontaneous orbital order in iron-based superconductors: who comes first and why?
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Chubukov, Andrey V.; Khodas, Maxim; Fernandes, Rafael M.
arXiv
DOI: 10.48550/arxiv.1602.05503

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DOI: 10.48550/arxiv.1607.00865

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Huang, Dennis; Hoffman, Jennifer E.
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DOI: 10.48550/arxiv.1703.09306

Possible Bicollinear Nematic State with Monoclinic Lattice Distortions in Iron Telluride Compounds
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DOI: 10.48550/arxiv.1704.03495

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Meier, W. R.; Ding, Q. -P.; Kreyssig, A.
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DOI: 10.48550/arxiv.1706.01067

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DOI: 10.48550/arxiv.1804.00818

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DOI: 10.1103/physrevb.88.134510

Nematic State of Pnictides Stabilized by Interplay between Spin, Orbital, and Lattice Degrees of Freedom
journal, July 2013

Liang, Shuhua; Moreo, Adriana; Dagotto, Elbio
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DOI: 10.1103/physrevlett.111.047004

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Title: Intertwined spin-orbital coupled orders in the iron-based superconductors

Abstract

Citation Formats

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Effects of Nematic Fluctuations on the Elastic Properties of Iron Arsenide Superconductors journal, October 2010

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Colloquium : Theory of intertwined orders in high temperature superconductors journal, May 2015

Possible bicollinear nematic state with monoclinic lattice distortions in iron telluride compounds journal, July 2017

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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

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Ising and spin orders in the iron-based superconductors
journal, July 2008

Neutron-Diffraction Measurements of Magnetic Order and a Structural Transition in the Parent ${BaFe}_{2} {As}_{2}$ Compound of FeAs-Based High-Temperature Superconductors
journal, December 2008

Interface-induced superconductivity and strain-dependent spin density waves in FeSe/SrTiO3 thin films
journal, May 2013

Multi- $q$ Mesoscale Magnetism in ${CeAuSb}_{2}$
journal, February 2018

Expansion of the tetragonal magnetic phase with pressure in the iron arsenide superconductor ${Ba}_{1 - x} K_{x} {Fe}_{2} {As}_{2}$
journal, April 2016

Pairing Mechanism in Fe-Based Superconductors
journal, March 2012

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

Magnetically driven suppression of nematic order in an iron-based superconductor
journal, May 2014

Effect of magnetic frustration on nematicity and superconductivity in iron chalcogenides
journal, August 2015

The Key Ingredients of the Electronic Structure of FeSe
journal, March 2018

One-Fe versus Two-Fe Brillouin Zone of Fe-Based Superconductors: Creation of the Electron Pockets by Translational Symmetry Breaking
journal, December 2011

Orbital-dependent Fermi surface shrinking as a fingerprint of nematicity in FeSe
journal, October 2016

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

Multiband magnetism and superconductivity in Fe-based compounds
journal, February 2009

Magnetic tricritical point and nematicity in FeSe under pressure
journal, June 2018

Divergent Nematic Susceptibility in an Iron Arsenide Superconductor
journal, August 2012

Nematicity, magnetism and superconductivity in FeSe
journal, December 2017

Phase diagram and electronic indication of high-temperature superconductivity at 65 K in single-layer FeSe films
journal, May 2013

High-temperature superconductivity in iron-based materials
journal, August 2010

Magnetic ground state of FeSe
journal, July 2016

Anomalous Suppression of the Orthorhombic Lattice Distortion in Superconducting $Ba ({Fe}_{1 - x} {Co}_{x})_{2} {As}_{2}$ Single Crystals
journal, February 2010

Effects of Nematic Fluctuations on the Elastic Properties of Iron Arsenide Superconductors
journal, October 2010

Evidence for a nematic component to the hidden-order parameter in URu2Si2 from differential elastoresistance measurements
journal, March 2015

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

Colloquium : Theory of intertwined orders in high temperature superconductors
journal, May 2015

Possible bicollinear nematic state with monoclinic lattice distortions in iron telluride compounds
journal, July 2017

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

Interplay between tetragonal magnetic order, stripe magnetism, and superconductivity in iron-based materials
journal, March 2015

Microscopically derived Ginzburg-Landau theory for magnetic order in the iron pnictides
journal, December 2011

Nematicity and quantum paramagnetism in FeSe
journal, September 2015

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

Observation of the magnetic $C_{4}$ phase in ${Ca}_{1 - x} {Na}_{x} {Fe}_{2} {As}_{2}$ and its universality in the hole-doped 122 superconductors
journal, February 2017

Spin-Orbit Coupling and Magnetic Anisotropy in Iron-Based Superconductors
journal, July 2018

Magnetic order without tetragonal-symmetry-breaking in iron arsenides: Microscopic mechanism and spin-wave spectrum
journal, January 2015

Transverse fields to tune an Ising-nematic quantum phase transition
journal, December 2017

Hund’s coupling and its key role in tuning multiorbital correlations
journal, May 2011

Spectral Evidence for Emergent Order in ${Ba}_{1 - x} {Na}_{x} {Fe}_{2} {As}_{2}$
journal, September 2018

Strong $(π, 0)$ spin fluctuations in $β - FeSe$ observed by neutron spectroscopy
journal, May 2015

Observation of two distinct $d_{x z}$ / $d_{y z}$ band splittings in FeSe
journal, June 2015

Similarity of the Fermi Surface in the Hidden Order State and in the Antiferromagnetic State of ${URu}_{2} {Si}_{2}$
journal, November 2010

Complex phase diagram of ${Ba}_{1 - x} {Na}_{x} {Fe}_{2} {As}_{2}$ : A multitude of phases striving for the electronic entropy
journal, January 2016

Unfolding of electronic structure through induced representations of space groups: Application to Fe-based superconductors
journal, November 2014

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

What drives nematic order in iron-based superconductors?
journal, January 2014

Spin-orbital frustrations and anomalous metallic state in iron-pnictide superconductors
journal, February 2009

First-order magnetic and structural phase transitions in ${Fe}_{1 + y} {Se}_{x} {Te}_{1 - x}$
journal, February 2009

Magnetism, Superconductivity, and Spontaneous Orbital Order in Iron-Based Superconductors: Which Comes First and Why?
journal, December 2016

Stabilizing the spin vortex crystal phase in two-dimensional iron-based superconductors
journal, February 2017

Preemptive nematic order, pseudogap, and orbital order in the iron pnictides
journal, January 2012

Monolayer FeSe on SrTiO ₃
journal, March 2017

Electronic nematic susceptibility of iron-based superconductors
journal, January 2016

Uniaxial strain control of spin-polarization in multicomponent nematic order of BaFe2As2
journal, March 2018

Nematic fluctuations and phase transitions in LaFeAsO: A Raman scattering study
journal, July 2017

Spin-orbital interplay and topology in the nematic phase of iron pnictides
journal, June 2015

Distinguishing spin-orbit coupling and nematic order in the electronic spectrum of iron-based superconductors
journal, December 2014

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

Pressure-induced Fermi-surface reconstruction in the iron-arsenide superconductor Ba $_{1 - x}$ K $_{x}$ Fe $_{2}$ As $_{2}$ : Evidence of a phase transition inside the antiferromagnetic phase
journal, October 2012

Phonon dispersion relation of single-crystalline $β$ -FeSe
journal, September 2017

Ferro-Orbital Order and Strong Magnetic Anisotropy in the Parent Compounds of Iron-Pnictide Superconductors
journal, December 2009

Critical spin fluctuations and the origin of nematic order in Ba(Fe1−xCox)2As2
journal, January 2016

Momentum-dependent sign inversion of orbital order in superconducting FeSe
journal, November 2015

Superconductivity above 100 K in single-layer FeSe films on doped SrTiO3
journal, November 2014

Direct observation of spin–orbit coupling in iron-based superconductors
journal, December 2015

Interface-Induced High-Temperature Superconductivity in Single Unit-Cell FeSe Films on SrTiO ₃
journal, March 2012

Detailed magnetic and structural analysis mapping a robust magnetic $C_{4}$ dome in ${Sr}_{1 - x} {Na}_{x} {Fe}_{2} {As}_{2}$
journal, April 2016

Low-energy microscopic models for iron-based superconductors: a review
journal, November 2016

Dynamical Layer Decoupling in a Stripe-Ordered High- $T_{c}$ Superconductor
journal, September 2007

Magnetic degeneracy and hidden metallicity of the spin-density-wave state in ferropnictides
journal, January 2010

Soft phonons reveal the nematic correlation length in $Ba {({Fe}_{0.94} {Co}_{0.06})}_{2} {As}_{2}$
journal, July 2018

Orbital-driven nematicity in FeSe
journal, November 2014

Interfacial mode coupling as the origin of the enhancement of Tc in FeSe films on SrTiO3
journal, November 2014

Ubiquitous signatures of nematic quantum criticality in optimally doped Fe-based superconductors
journal, May 2016

Tunable ( $δ π$ , $δ π$ )-Type Antiferromagnetic Order in $α$ -Fe(Te,Se) Superconductors
journal, June 2009

Origin of the Tetragonal-to-Orthorhombic Phase Transition in FeSe: A Combined Thermodynamic and NMR Study of Nematicity
journal, January 2015

Gap symmetry and structure of Fe-based superconductors
journal, October 2011

Spin reorientation driven by the interplay between spin-orbit coupling and Hund's rule coupling in iron pnictides
journal, December 2015

Double-stage nematic bond ordering above double stripe magnetism: Application to ${BaTi}_{2} {Sb}_{2} O$
journal, May 2017

Structural Quantum Criticality and Superconductivity in Iron-Based Superconductor Ba(Fe _{1- x} Co _x ) ₂ As ₂
journal, February 2012

Selective Mott Physics as a Key to Iron Superconductors
journal, April 2014

Strong Correlations and Magnetic Frustration in the High $T_{c}$ Iron Pnictides
journal, August 2008