The transport–structural correspondence across the nematic phase transition probed by elasto X-ray diffraction

Sanchez, Joshua J.; Malinowski, Paul; Mutch, Joshua; Liu, Jian; Kim, J. -W.; Ryan, Philip J.; Chu, Jiun-Haw

doi:10.1038/s41563-021-01082-4

Title: The transport–structural correspondence across the nematic phase transition probed by elasto X-ray diffraction

Abstract

Electronic nematicity in iron pnictide materials is coupled to both the lattice and the conducting electrons, which allows both structural and transport observables to probe nematic fluctuations and the order parameter. Here we combine simultaneous transport and X-ray diffraction measurements with in-situ tunable strain (elasto X-ray diffraction) to measure the temperature dependence of the shear modulus and elastoresistivity above the nematic transition and the spontaneous orthorhombicity and resistivity anisotropy below the nematic transition, all within a single sample of Ba(Fe_0.96Co_0.04)₂As₂. The ratio of transport to structural quantities is nearly temperature independent over a 74 K range and agrees between the ordered and disordered phases. These results show that elasto X-ray diffraction is a powerful technique to probe the nemato-elastic and nemato-transport couplings, which have important implications to the nearby superconductivity. Furthermore, it also enables the measurement in the large strain limit, where the breakdown of the mean-field description reveals the intertwined nature of nematicity.

Authors:

^[1];

^[2];

^[3]; Ryan, Philip J. ^[4];

^[1]

Univ. of Washington, Seattle, WA (United States)
Univ. of Tennessee, Knoxville, TN (United States)
Argonne National Lab. (ANL), Lemont, IL (United States)
Argonne National Lab. (ANL), Lemont, IL (United States); Dublin City University (Ireland)

Publication Date:: Thu Aug 26 00:00:00 EDT 2021

Research Org.:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Org.:: USDOE; Air Force Research Laboratory (AFRL), Air Force Office of Scientific Research (AFOSR); Gordon and Betty Moore Foundation; David and Lucile Packard Foundation; Alfred P. Sloan Foundation; National Science Foundation (NSF); University of Washington

OSTI Identifier:: 1840899

Grant/Contract Number:: AC02-06CH11357; DMR-1719797; FA9550-17-1-0217; FA9550-21-1-0068; GBMF6759; DMR-1848269; SC0014664

Resource Type:: Accepted Manuscript

Journal Name:: Nature Materials

Additional Journal Information:: Journal Volume: 20; Journal Issue: 11; Journal ID: ISSN 1476-1122

Publisher:: Springer Nature - Nature Publishing Group

Country of Publication:: United States

Language:: English

Subject:: 36 MATERIALS SCIENCE; Fe pnictide; nematic order; phase transition; superconductivity; uniaxial strain; x-ray diffraction

Citation Formats


                    Sanchez, Joshua J., Malinowski, Paul, Mutch, Joshua, Liu, Jian, Kim, J. -W., Ryan, Philip J., and Chu, Jiun-Haw. The transport–structural correspondence across the nematic phase transition probed by elasto X-ray diffraction.  United States: N. p., 2021. 
Web.  doi:10.1038/s41563-021-01082-4.

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                    Sanchez, Joshua J., Malinowski, Paul, Mutch, Joshua, Liu, Jian, Kim, J. -W., Ryan, Philip J., & Chu, Jiun-Haw. The transport–structural correspondence across the nematic phase transition probed by elasto X-ray diffraction.  United States.  https://doi.org/10.1038/s41563-021-01082-4

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                    Sanchez, Joshua J., Malinowski, Paul, Mutch, Joshua, Liu, Jian, Kim, J. -W., Ryan, Philip J., and Chu, Jiun-Haw. Thu .  
"The transport–structural correspondence across the nematic phase transition probed by elasto X-ray diffraction".  United States.  https://doi.org/10.1038/s41563-021-01082-4.  https://www.osti.gov/servlets/purl/1840899.

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@article{osti_1840899,

  title        = {The transport–structural correspondence across the nematic phase transition probed by elasto X-ray diffraction},

  author       = {Sanchez, Joshua J. and Malinowski, Paul and Mutch, Joshua and Liu, Jian and Kim, J. -W. and Ryan, Philip J. and Chu, Jiun-Haw},

  abstractNote = {Electronic nematicity in iron pnictide materials is coupled to both the lattice and the conducting electrons, which allows both structural and transport observables to probe nematic fluctuations and the order parameter. Here we combine simultaneous transport and X-ray diffraction measurements with in-situ tunable strain (elasto X-ray diffraction) to measure the temperature dependence of the shear modulus and elastoresistivity above the nematic transition and the spontaneous orthorhombicity and resistivity anisotropy below the nematic transition, all within a single sample of Ba(Fe0.96Co0.04)2As2. The ratio of transport to structural quantities is nearly temperature independent over a 74 K range and agrees between the ordered and disordered phases. These results show that elasto X-ray diffraction is a powerful technique to probe the nemato-elastic and nemato-transport couplings, which have important implications to the nearby superconductivity. Furthermore, it also enables the measurement in the large strain limit, where the breakdown of the mean-field description reveals the intertwined nature of nematicity.},

  doi          = {10.1038/s41563-021-01082-4},

  journal      = {Nature Materials},

  number       = 11,

  volume       = 20,

  place        = {United States},

  year         = {Thu Aug 26 00:00:00 EDT 2021},

  month        = {Thu Aug 26 00:00:00 EDT 2021}

}

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Title: The transport–structural correspondence across the nematic phase transition probed by elasto X-ray diffraction

Abstract

Citation Formats

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

Uniaxial pressure control of competing orders in a high-temperature superconductor journal, November 2018

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

Anisotropy of the In-Plane Resistivity of Underdoped Ba ( Fe 1 − x Co x ) 2 As 2 Superconductors Induced by Impurity Scattering in the Antiferromagnetic Orthorhombic Phase journal, May 2013

Origin of the Resistivity Anisotropy in the Nematic Phase of FeSe journal, September 2016

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Nematic Susceptibility of Hole-Doped and Electron-Doped Ba F e 2 As 2 Iron-Based Superconductors from Shear Modulus Measurements journal, January 2014

Emergent Defect States as a Source of Resistivity Anisotropy in the Nematic Phase of Iron Pnictides journal, September 2014

Critical divergence of the symmetric ( A 1 g ) nonlinear elastoresistance near the nematic transition in an iron-based superconductor journal, November 2017

Effect of Uniaxial Strain on the Structural and Magnetic Phase Transitions in BaFe 2 As 2 journal, February 2012

Symmetric and antisymmetric strain as continuous tuning parameters for electronic nematic order journal, December 2018

Anisotropic Grüneisen Parameter and Diverse Order Parameter Fluctuations in Iron-Based Superconductor Ba(Fe 1− x Co x ) 2 As 2 journal, July 2018

Electrical Resistivity Anisotropy from Self-Organized One Dimensionality in High-Temperature Superconductors journal, March 2002

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Orbital-Dependent Modifications of Electronic Structure across the Magnetostructural Transition in BaFe 2 As 2 journal, February 2010

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

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Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels journal, January 1999

Nematicity and competing orders in superconducting magic-angle graphene journal, April 2021

In-Plane Resistivity Anisotropy in an Underdoped Iron Arsenide Superconductor journal, August 2010

Piezoelectric-based apparatus for strain tuning journal, June 2014

Evolution of the Nematic Susceptibility in LaFe 1 − x Co x AsO journal, August 2020

Suppression of superconductivity by anisotropic strain near a nematic quantum critical point journal, August 2020

Strongly anisotropic transport in higher two-dimensional Landau levels journal, January 1999

Formation of a Nematic Fluid at High Fields in Sr3Ru2O7 journal, January 2007

Probing the reconstructed Fermi surface of antiferromagnetic BaFe2As2 in one domain journal, July 2019

In-plane anisotropy of electrical resistivity in strain-detwinned SrFe 2 As 2 journal, April 2011

Piezoelectric-based apparatus for strain tuning text, January 2014

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

Uniaxial pressure control of competing orders in a high-temperature superconductor
journal, November 2018

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

Anisotropy of the In-Plane Resistivity of Underdoped $Ba ({Fe}_{1 - x} {Co}_{x})_{2} {As}_{2}$ Superconductors Induced by Impurity Scattering in the Antiferromagnetic Orthorhombic Phase
journal, May 2013

Origin of the Resistivity Anisotropy in the Nematic Phase of FeSe
journal, September 2016

Quantum oscillations in the parent pnictide ${BaFe}_{2} {As}_{2}$ : Itinerant electrons in the reconstructed state
journal, August 2009

Nematic Susceptibility of Hole-Doped and Electron-Doped ${Ba F e}_{2} {As}_{2}$ Iron-Based Superconductors from Shear Modulus Measurements
journal, January 2014

Emergent Defect States as a Source of Resistivity Anisotropy in the Nematic Phase of Iron Pnictides
journal, September 2014

Critical divergence of the symmetric ( $A_{1 g}$ ) nonlinear elastoresistance near the nematic transition in an iron-based superconductor
journal, November 2017

Effect of Uniaxial Strain on the Structural and Magnetic Phase Transitions in ${BaFe}_{2} {As}_{2}$
journal, February 2012

Symmetric and antisymmetric strain as continuous tuning parameters for electronic nematic order
journal, December 2018

Anisotropic Grüneisen Parameter and Diverse Order Parameter Fluctuations in Iron-Based Superconductor Ba(Fe ₁₋ _x Co _x ) ₂ As ₂
journal, July 2018

Electrical Resistivity Anisotropy from Self-Organized One Dimensionality in High-Temperature Superconductors
journal, March 2002

Uniaxial-strain mechanical detwinning of ${CaFe}_{2} {As}_{2}$ and ${BaFe}_{2} {As}_{2}$ crystals: Optical and transport study
journal, May 2010

Orbital-Dependent Modifications of Electronic Structure across the Magnetostructural Transition in ${BaFe}_{2} {As}_{2}$
journal, February 2010

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

Electronic Liquid Crystal State in the High-Temperature Superconductor YBa2Cu3O6.45
journal, January 2008

Nematic Fermi Fluids in Condensed Matter Physics
journal, August 2010

Ferroelasticity, anelasticity and magnetoelastic relaxation in Co-doped iron pnictide: Ba(Fe _0.957 Co _0.043 ) ₂ As ₂
journal, February 2019

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

Character of the structural and magnetic phase transitions in the parent and electron-doped BaFe $_{2}$ As $_{2}$ compounds
journal, April 2011

Unprecedented anisotropic metallic state in undoped iron arsenide BaFe2As2 revealed by optical spectroscopy
journal, July 2011

Nematic quantum critical point without magnetism in FeSe _{1− x} S _x superconductors
journal, July 2016

In-plane electronic anisotropy of underdoped ‘122’ Fe-arsenide superconductors revealed by measurements of detwinned single crystals
journal, September 2011

Nematicity and superconductivity: Competition versus cooperation
journal, November 2020

Nematicity in the superconducting mixed state of strain detwinned underdoped Ba( ${Fe}_{1 - x} {Co}_{x})_{2} {As}_{2}$
journal, February 2019

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

Bulk-sensitive imaging of twin domains in La _{2− x} Sr _x CuO ₄ under uniaxial pressure
journal, August 2018

Resistive anisotropy due to spin-fluctuation scattering in the nematic phase of iron pnictides
journal, September 2014

Enhancement of Superconductivity near a Nematic Quantum Critical Point
journal, March 2015

Anisotropic In-Plane Resistivity in the Nematic Phase of the Iron Pnictides
journal, November 2011

In-plane electronic anisotropy in the antiferromagnetic orthorhombic phase of isovalent-substituted $Ba {({Fe}_{1 - x} {Ru}_{x})}_{2} {As}_{2}$
journal, September 2015

Lattice Effects on Nematic Quantum Criticality in Metals
journal, June 2017

Intertwined Vestigial Order in Quantum Materials: Nematicity and Beyond
journal, March 2019

Measurement of the B1g and B2g components of the elastoresistivity tensor for tetragonal materials via transverse resistivity configurations
journal, June 2016

Direct imaging of the structural domains in the iron pnictides $A {Fe}_{2} {As}_{2}$ $(A = Ca, Sr, Ba)$
journal, May 2009

Effect of Disorder on the Resistivity Anisotropy Near the Electronic Nematic Phase Transition in Pure and Electron-Doped ${BaFe}_{2} {As}_{2}$
journal, June 2014

Detailed band structure of twinned and detwinned ${BaFe}_{2} {As}_{2}$ studied with angle-resolved photoemission spectroscopy
journal, January 2019

Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
journal, January 1999

Nematicity and competing orders in superconducting magic-angle graphene
journal, April 2021

In-Plane Resistivity Anisotropy in an Underdoped Iron Arsenide Superconductor
journal, August 2010

Piezoelectric-based apparatus for strain tuning
journal, June 2014

Evolution of the Nematic Susceptibility in ${LaFe}_{1 - x} {Co}_{x} AsO$
journal, August 2020

Suppression of superconductivity by anisotropic strain near a nematic quantum critical point
journal, August 2020

Strongly anisotropic transport in higher two-dimensional Landau levels
journal, January 1999

Formation of a Nematic Fluid at High Fields in Sr3Ru2O7
journal, January 2007

Probing the reconstructed Fermi surface of antiferromagnetic BaFe2As2 in one domain
journal, July 2019

In-plane anisotropy of electrical resistivity in strain-detwinned SrFe $_{2}$ As $_{2}$
journal, April 2011

Piezoelectric-based apparatus for strain tuning
text, January 2014