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Title: Emergent Ising degrees of freedom above a double-stripe magnetic ground state [Emergent Ising degrees of freedom above double-stripe magnetism]

Abstract

Here, double-stripe magnetism [Q=(π/2,π/2)] has been proposed as the magnetic ground state for both the iron-telluride and BaTi 2Sb 2O families of superconductors. Double-stripe order is captured within a J 1–J 2–J 3 Heisenberg model in the regime J 3 >> J 2 >> J 1. Intriguingly, besides breaking spin-rotational symmetry, the ground-state manifold has three additional Ising degrees of freedom associated with bond ordering. Via their coupling to the lattice, they give rise to an orthorhombic distortion and to two nonuniform lattice distortions with wave vector (π,π). Because the ground state is fourfold degenerate, modulo rotations in spin space, only two of these Ising bond order parameters are independent. Here, we introduce an effective field theory to treat all Ising order parameters, as well as magnetic order, and solve it within a large-N limit. All three transitions, corresponding to the condensations of two Ising bond order parameters and one magnetic order parameter are simultaneous and first order in three dimensions, but lower dimensionality, or equivalently weaker interlayer coupling, and weaker magnetoelastic coupling can split the three transitions, and in some cases allows for two separate Ising phase transitions above the magnetic one.

Authors:
 [1];  [1]
  1. Ames Lab. and Iowa State Univ., Ames, IA (United States)
Publication Date:
Research Org.:
Ames Laboratory (AMES), Ames, IA (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1417354
Alternate Identifier(s):
OSTI ID: 1414976
Report Number(s):
IS-J-9554
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1801040
Grant/Contract Number:  
AC02-07CH11358; PHYS-1066293
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 21; 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

Zhang, Guanghua, and Flint, Rebecca. Emergent Ising degrees of freedom above a double-stripe magnetic ground state [Emergent Ising degrees of freedom above double-stripe magnetism]. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.214438.
Zhang, Guanghua, & Flint, Rebecca. Emergent Ising degrees of freedom above a double-stripe magnetic ground state [Emergent Ising degrees of freedom above double-stripe magnetism]. United States. doi:10.1103/PhysRevB.96.214438.
Zhang, Guanghua, and Flint, Rebecca. Wed . "Emergent Ising degrees of freedom above a double-stripe magnetic ground state [Emergent Ising degrees of freedom above double-stripe magnetism]". United States. doi:10.1103/PhysRevB.96.214438. https://www.osti.gov/servlets/purl/1417354.
@article{osti_1417354,
title = {Emergent Ising degrees of freedom above a double-stripe magnetic ground state [Emergent Ising degrees of freedom above double-stripe magnetism]},
author = {Zhang, Guanghua and Flint, Rebecca},
abstractNote = {Here, double-stripe magnetism [Q=(π/2,π/2)] has been proposed as the magnetic ground state for both the iron-telluride and BaTi2Sb2O families of superconductors. Double-stripe order is captured within a J1–J2–J3 Heisenberg model in the regime J3 >> J2 >> J1. Intriguingly, besides breaking spin-rotational symmetry, the ground-state manifold has three additional Ising degrees of freedom associated with bond ordering. Via their coupling to the lattice, they give rise to an orthorhombic distortion and to two nonuniform lattice distortions with wave vector (π,π). Because the ground state is fourfold degenerate, modulo rotations in spin space, only two of these Ising bond order parameters are independent. Here, we introduce an effective field theory to treat all Ising order parameters, as well as magnetic order, and solve it within a large-N limit. All three transitions, corresponding to the condensations of two Ising bond order parameters and one magnetic order parameter are simultaneous and first order in three dimensions, but lower dimensionality, or equivalently weaker interlayer coupling, and weaker magnetoelastic coupling can split the three transitions, and in some cases allows for two separate Ising phase transitions above the magnetic one.},
doi = {10.1103/PhysRevB.96.214438},
journal = {Physical Review B},
issn = {2469-9950},
number = 21,
volume = 96,
place = {United States},
year = {2017},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Figures / Tables:

FIG. 1 FIG. 1: Comparison of (a) SS magnetic order in FeAs, with an orthorhombic lattice distortion and (b) DS magnetic order in FeTe, with a monoclinic lattice distortion, rotated 45◦ from the SS distortion. The sublattices are as labeled. The NN and NNN ferromagnetic bonds are indicated by blue and yellowmore » ovals respectively. The shaded area included by blue dashed line indicates the unit cell.« less

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Works referenced in this record:

Bicollinear Antiferromagnetic Order, Monoclinic Distortion, and Reversed Resistivity Anisotropy in FeTe as a Result of Spin-Lattice Coupling
journal, September 2016


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

  • Yoshizawa, Masahito; Kimura, Daichi; Chiba, Taiji
  • Journal of the Physical Society of Japan, Vol. 81, Issue 2
  • DOI: 10.1143/JPSJ.81.024604

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


Ba 1– x Na x Ti 2 Sb 2 O (0.0 ≤ x ≤ 0.33): A Layered Titanium-Based Pnictide Oxide Superconductor
journal, September 2012

  • Doan, Phuong; Gooch, Melissa; Tang, Zhongjia
  • Journal of the American Chemical Society, Vol. 134, Issue 40
  • DOI: 10.1021/ja3078889

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


Strong Correlations and Magnetic Frustration in the High T c Iron Pnictides
journal, August 2008


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


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


Excitonic and nematic instabilities on the surface of topological Kondo insulators
journal, December 2015


Observation of Incipient Charge Nematicity in Ba ( Fe 1 X Co X ) 2 As 2
journal, December 2013


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

  • Glasbrenner, J. K.; Mazin, I. I.; Jeschke, Harald O.
  • Nature Physics, Vol. 11, Issue 11
  • DOI: 10.1038/nphys3434

Spin nematic fluctuations near a spin-density-wave phase
journal, July 2015


Quantum criticality in the iron pnictides and chalcogenides
journal, May 2011


Quenched disorder and vestigial nematicity in the pseudogap regime of the cuprates
journal, May 2014

  • Nie, L.; Tarjus, G.; Kivelson, S. A.
  • Proceedings of the National Academy of Sciences, Vol. 111, Issue 22
  • DOI: 10.1073/pnas.1406019111

Superconductivity in BaTi 2 Sb 2 O with a d 1 Square Lattice
journal, October 2012

  • Yajima, Takeshi; Nakano, Kousuke; Takeiri, Fumitaka
  • Journal of the Physical Society of Japan, Vol. 81, Issue 10
  • DOI: 10.1143/JPSJ.81.103706

Intra-unit-cell nematic charge order in the titanium-oxypnictide family of superconductors
journal, December 2014

  • Frandsen, Benjamin A.; Bozin, Emil S.; Hu, Hefei
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6761

From antiferromagnetism to superconductivity in Fe 1 + y Te 1 x Se x ( 0 x 0.20 ) : Neutron powder diffraction analysis
journal, March 2010


Arsenic-bridged antiferromagnetic superexchange interactions in LaFeAsO
journal, December 2008


Ising transition in frustrated Heisenberg models
journal, January 1990


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


Electronic liquid-crystal phases of a doped Mott insulator
journal, June 1998

  • Kivelson, S. A.; Fradkin, E.; Emery, V. J.
  • Nature, Vol. 393, Issue 6685
  • DOI: 10.1038/31177

Nematic phase without Heisenberg physics in FeAs planes
journal, December 2011


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

Magnetism in Parent Iron Chalcogenides: Quantum Fluctuations Select Plaquette Order
journal, October 2012


Theory of the evolution of magnetic order in Fe 1 + y Te compounds with increasing interstitial iron
journal, October 2014

  • Ducatman, Samuel; Fernandes, Rafael M.; Perkins, Natalia B.
  • Physical Review B, Vol. 90, Issue 16
  • DOI: 10.1103/PhysRevB.90.165123

Ferro-Orbital Ordering Transition in Iron Telluride Fe 1 + y Te
journal, May 2014


Origin of nematic order in FeSe
journal, May 2015

  • Chubukov, Andrey V.; Fernandes, Rafael M.; Schmalian, Joerg
  • Physical Review B, Vol. 91, Issue 20
  • DOI: 10.1103/PhysRevB.91.201105

Theory of electron nematic order in LaFeAsO
journal, June 2008


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


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


Ordering due to disorder in a frustrated vector antiferromagnet
journal, April 1989


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


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


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


Structure antiferroma gnetique de Fe1. 125Te accompagnee d'une deformation monoclinique
journal, March 1975


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


A magnetic analogue of stereoisomerism : application to helimagnetism in two dimensions
journal, January 1977


Order as an effect of disorder
journal, January 1980


A key role for unusual spin dynamics in ferropnictides
journal, December 2008

  • Mazin, I. I.; Johannes, M. D.
  • Nature Physics, Vol. 5, Issue 2
  • DOI: 10.1038/nphys1160

Magnetoelastic effects in iron telluride
journal, March 2011