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Title: Magnetic phase diagram of the iron pnictides in the presence of spin-orbit coupling: Frustration between C 2 and C 4 magnetic phases

Abstract

We investigate the impact of spin anisotropic interactions, promoted by spin-orbit coupling, on the magnetic phase diagram of the iron-based superconductors. Three distinct magnetic phases with Bragg peaks at (π,0) and (0, π) are possible in these systems: one C 2 (i.e., orthorhombic) symmetric stripe magnetic phase and two C 4 (i.e., tetragonal) symmetric magnetic phases. While the spin anisotropic interactions allow the magnetic moments to point in any direction in the C 2 phase, they restrict the possible moment orientations in the C 4 phases. As a result, an interesting scenario arises in which the spin anisotropic interactions favor a C 2 phase, but the other spin isotropic interactions favor a C 4 phase. We study this frustration via both mean-field and renormalization-group approaches. We find that, to lift this frustration, a rich magnetic landscape emerges well below the magnetic transition temperature, with interesting C 2, C 4, and mixed C 2 – C 4 phases. Near the putative magnetic quantum critical point, spin anisotropies promote a stable Gaussian fixed point in the renormalization-group flow, which is absent in the spin isotropic case, and is associated with a near-degeneracy between C 2 and C 4 phases. Here, we arguemore » that this frustration is the reason why most C 4 phases in the iron pnictides only appear inside the C 2 phase, and discuss additional manifestations of this frustration in the phase diagrams of these materials.« less

Authors:
 [1];  [2];  [3];  [1]
  1. Univ. of Minnesota, Minneapolis, MN (United States). School of Physics and Astronomy
  2. Iowa State Univ., Ames, IA (United States). Dept. of Physics and Astronomy; Ames Lab. and Iowa State Univ., Ames, IA (United States)
  3. Univ. of Copenhagen (Denmark). The Niels Bohr Inst.
Publication Date:
Research Org.:
Ames Lab., Ames, IA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1464481
Alternate Identifier(s):
OSTI ID: 1462152
Report Number(s):
IS-J-9728
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1902392
Grant/Contract Number:  
SC0012336; A9318; AC02-07CH11358
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 98; 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

Citation Formats

Christensen, Morten H., Orth, Peter P., Andersen, Brian M., and Fernandes, Rafael M. Magnetic phase diagram of the iron pnictides in the presence of spin-orbit coupling: Frustration between C2 and C4 magnetic phases. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.98.014523.
Christensen, Morten H., Orth, Peter P., Andersen, Brian M., & Fernandes, Rafael M. Magnetic phase diagram of the iron pnictides in the presence of spin-orbit coupling: Frustration between C2 and C4 magnetic phases. United States. doi:10.1103/PhysRevB.98.014523.
Christensen, Morten H., Orth, Peter P., Andersen, Brian M., and Fernandes, Rafael M. Mon . "Magnetic phase diagram of the iron pnictides in the presence of spin-orbit coupling: Frustration between C2 and C4 magnetic phases". United States. doi:10.1103/PhysRevB.98.014523. https://www.osti.gov/servlets/purl/1464481.
@article{osti_1464481,
title = {Magnetic phase diagram of the iron pnictides in the presence of spin-orbit coupling: Frustration between C2 and C4 magnetic phases},
author = {Christensen, Morten H. and Orth, Peter P. and Andersen, Brian M. and Fernandes, Rafael M.},
abstractNote = {We investigate the impact of spin anisotropic interactions, promoted by spin-orbit coupling, on the magnetic phase diagram of the iron-based superconductors. Three distinct magnetic phases with Bragg peaks at (π,0) and (0, π) are possible in these systems: one C2 (i.e., orthorhombic) symmetric stripe magnetic phase and two C4 (i.e., tetragonal) symmetric magnetic phases. While the spin anisotropic interactions allow the magnetic moments to point in any direction in the C2 phase, they restrict the possible moment orientations in the C4 phases. As a result, an interesting scenario arises in which the spin anisotropic interactions favor a C2 phase, but the other spin isotropic interactions favor a C4 phase. We study this frustration via both mean-field and renormalization-group approaches. We find that, to lift this frustration, a rich magnetic landscape emerges well below the magnetic transition temperature, with interesting C2, C4, and mixed C2 – C4 phases. Near the putative magnetic quantum critical point, spin anisotropies promote a stable Gaussian fixed point in the renormalization-group flow, which is absent in the spin isotropic case, and is associated with a near-degeneracy between C2 and C4 phases. Here, we argue that this frustration is the reason why most C4 phases in the iron pnictides only appear inside the C2 phase, and discuss additional manifestations of this frustration in the phase diagrams of these materials.},
doi = {10.1103/PhysRevB.98.014523},
journal = {Physical Review B},
issn = {2469-9950},
number = 1,
volume = 98,
place = {United States},
year = {2018},
month = {7}
}

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Works referenced in this record:

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


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


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


Spin anisotropy due to spin-orbit coupling in optimally hole-doped Ba 0.67 K 0.33 Fe 2 As 2
journal, December 2016


Pairing Mechanism in Fe-Based Superconductors
journal, March 2012


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

  • Allred, J. M.; Taddei, K. M.; Bugaris, D. E.
  • Nature Physics, Vol. 12, Issue 5
  • DOI: 10.1038/nphys3629

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

  • Meier, William R.; Ding, Qing-Ping; Kreyssig, Andreas
  • npj Quantum Materials, Vol. 3, Issue 1
  • DOI: 10.1038/s41535-017-0076-x

Manifesto for a higher Tc
journal, April 2011

  • Basov, D. N.; Chubukov, Andrey V.
  • Nature Physics, Vol. 7, Issue 4
  • DOI: 10.1038/nphys1975

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

  • Avci, S.; Chmaissem, O.; Allred, J. M.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4845

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


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

  • Borisenko, S. V.; Evtushinsky, D. V.; Liu, Z. -H.
  • Nature Physics, Vol. 12, Issue 4
  • DOI: 10.1038/nphys3594

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


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


Potential Antiferromagnetic Fluctuations in Hole-Doped Iron-Pnictide Superconductor Ba 1- x K x Fe 2 As 2 Studied by 75 As Nuclear Magnetic Resonance Measurement
journal, May 2012

  • Hirano, Masanori; Yamada, Yuji; Saito, Taku
  • Journal of the Physical Society of Japan, Vol. 81, Issue 5
  • DOI: 10.1143/JPSJ.81.054704

Phase diagram of Ba 1 x K x Fe 2 As 2
journal, May 2012


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

  • Paglione, Johnpierre; Greene, Richard L.
  • Nature Physics, Vol. 6, Issue 9
  • DOI: 10.1038/nphys1759

Proximity of iron pnictide superconductors to a quantum tricritical point
journal, July 2011

  • Giovannetti, Gianluca; Ortix, Carmine; Marsman, Martijn
  • Nature Communications, Vol. 2, Issue 1
  • DOI: 10.1038/ncomms1407

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


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


Quantum criticality in electron-doped BaFe2−xNixAs2
journal, August 2013

  • Zhou, R.; Li, Z.; Yang, J.
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms3265

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


Materials and Novel Superconductivity in Iron Pnictide Superconductors
journal, March 2011


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


Tetragonal magnetic phase in Ba 1 x K x Fe 2 As 2 from x-ray and neutron diffraction
journal, September 2015


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

  • Böhmer, A. E.; Hardy, F.; Wang, L.
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8911

Role of multiorbital effects in the magnetic phase diagram of iron pnictides
journal, July 2017

  • Christensen, Morten H.; Scherer, Daniel D.; Kotetes, Panagiotis
  • Physical Review B, Vol. 96, Issue 1
  • DOI: 10.1103/PhysRevB.96.014523

In-plane spin excitation anisotropy in the paramagnetic state of NaFeAs
journal, October 2013


Space group symmetry, spin-orbit coupling, and the low-energy effective Hamiltonian for iron-based superconductors
journal, October 2013


Competing magnetic double- Q phases and superconductivity-induced reentrance of C 2 magnetic stripe order in iron pnictides
journal, October 2015


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


Symmetry of reentrant tetragonal phase in Ba 1 x Na x Fe 2 As 2 : Magnetic versus orbital ordering mechanism
journal, November 2014


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


Spin reorientation in Ba 0.65 Na 0.35 Fe 2 As 2 studied by single-crystal neutron diffraction
journal, February 2015


Dimensional crossover in the quasi-two-dimensional Ising-O(3) model
journal, December 2011


First- and second-order magnetic and structural transitions in BaFe 2 ( 1 x ) Co 2 x As 2
journal, September 2011


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


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


Competing Orders in FeAs Layers
journal, October 2008


Nodeless energy gaps of single-crystalline Ba 0 . 68 K 0 . 32 Fe 2 As 2 as seen via As 75 NMR
journal, April 2011


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


Electronic nematicity above the structural and superconducting transition in BaFe2(As1−xP x )2
journal, June 2012

  • Kasahara, S.; Shi, H. J.; Hashimoto, K.
  • Nature, Vol. 486, Issue 7403
  • DOI: 10.1038/nature11178

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

  • Fernandes, R. M.; Chubukov, A. V.; Schmalian, J.
  • Nature Physics, Vol. 10, Issue 2
  • DOI: 10.1038/nphys2877

Infrared Study of the Spin Reorientation Transition and Its Reversal in the Superconducting State in Underdoped Ba 1 x K x Fe 2 As 2
journal, July 2015


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


Emergent Magnetic Degeneracy in Iron Pnictides due to the Interplay between Spin-Orbit Coupling and Quantum Fluctuations
journal, July 2018


Global phase diagram for magnetism and lattice distortion of iron-pnictide materials
journal, September 2009


A common thread: The pairing interaction for unconventional superconductors
journal, October 2012


Order parameter fluctuation and ordering competition in Ba 1 x K x Fe 2 As 2
journal, January 2017


The puzzle of high temperature superconductivity in layered iron pnictides and chalcogenides
journal, October 2010