Emergent Ising degrees of freedom above a doublestripe magnetic ground state [Emergent Ising degrees of freedom above doublestripe magnetism]
Abstract
Here, doublestripe magnetism [Q=(π/2,π/2)] has been proposed as the magnetic ground state for both the irontelluride and BaTi _{2}Sb _{2}O families of superconductors. Doublestripe 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 spinrotational symmetry, the groundstate 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 largeN 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:

 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):
 ISJ9554
Journal ID: ISSN 24699950; PRBMDO; TRN: US1801040
 Grant/Contract Number:
 AC0207CH11358; PHYS1066293
 Resource Type:
 Journal Article: Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 96; Journal Issue: 21; Journal ID: ISSN 24699950
 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 doublestripe magnetic ground state [Emergent Ising degrees of freedom above doublestripe magnetism]. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.96.214438.
Zhang, Guanghua, & Flint, Rebecca. Emergent Ising degrees of freedom above a doublestripe magnetic ground state [Emergent Ising degrees of freedom above doublestripe magnetism]. United States. doi:10.1103/PhysRevB.96.214438.
Zhang, Guanghua, and Flint, Rebecca. Wed .
"Emergent Ising degrees of freedom above a doublestripe magnetic ground state [Emergent Ising degrees of freedom above doublestripe 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 doublestripe magnetic ground state [Emergent Ising degrees of freedom above doublestripe magnetism]},
author = {Zhang, Guanghua and Flint, Rebecca},
abstractNote = {Here, doublestripe magnetism [Q=(π/2,π/2)] has been proposed as the magnetic ground state for both the irontelluride and BaTi2Sb2O families of superconductors. Doublestripe order is captured within a J1–J2–J3 Heisenberg model in the regime J3 >> J2 >> J1. Intriguingly, besides breaking spinrotational symmetry, the groundstate 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 largeN 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 = {24699950},
number = 21,
volume = 96,
place = {United States},
year = {2017},
month = {12}
}
Figures / Tables:
Works referenced in this record:
Bicollinear Antiferromagnetic Order, Monoclinic Distortion, and Reversed Resistivity Anisotropy in FeTe as a Result of SpinLattice Coupling
journal, September 2016
 Bishop, Christopher B.; Moreo, Adriana; Dagotto, Elbio
 Physical Review Letters, Vol. 117, Issue 11
Structural Quantum Criticality and Superconductivity in IronBased 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
Ising and spin orders in the ironbased superconductors
journal, July 2008
 Xu, Cenke; Müller, Markus; Sachdev, Subir
 Physical Review B, Vol. 78, Issue 2
Ba _{ 1– x } Na _{ x } Ti _{2} Sb _{2} O (0.0 ≤ x ≤ 0.33): A Layered TitaniumBased Pnictide Oxide Superconductor
journal, September 2012
 Doan, Phuong; Gooch, Melissa; Tang, Zhongjia
 Journal of the American Chemical Society, Vol. 134, Issue 40
Electronic structure, disconnected Fermi surfaces and antiferromagnetism in the layered pnictide superconductor Na _{ x } Ba _{ 1− x } Ti _{2} Sb _{2} O
journal, December 2012
 Singh, David J.
 New Journal of Physics, Vol. 14, Issue 12
Nematic State of Pnictides Stabilized by Interplay between Spin, Orbital, and Lattice Degrees of Freedom
journal, July 2013
 Liang, Shuhua; Moreo, Adriana; Dagotto, Elbio
 Physical Review Letters, Vol. 111, Issue 4
Strong Correlations and Magnetic Frustration in the High ${T}_{c}$ Iron Pnictides
journal, August 2008
 Si, Qimiao; Abrahams, Elihu
 Physical Review Letters, Vol. 101, Issue 7
Enhancement of Superconductivity near a Nematic Quantum Critical Point
journal, March 2015
 Lederer, S.; Schattner, Y.; Berg, E.
 Physical Review Letters, Vol. 114, Issue 9
Microscopically derived GinzburgLandau theory for magnetic order in the iron pnictides
journal, December 2011
 Brydon, P. M. R.; Schmiedt, Jacob; Timm, Carsten
 Physical Review B, Vol. 84, Issue 21
Excitonic and nematic instabilities on the surface of topological Kondo insulators
journal, December 2015
 Roy, Bitan; Hofmann, Johannes; Stanev, Valentin
 Physical Review B, Vol. 92, Issue 24
Observation of Incipient Charge Nematicity in ${\mathrm{Ba}(\mathrm{Fe}{}_{1X}\mathrm{Co}{}_{X})}_{2}\mathrm{As}{}_{2}$
journal, December 2013
 Gallais, Y.; Fernandes, R. M.; Paul, I.
 Physical Review Letters, Vol. 111, Issue 26
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
Spin nematic fluctuations near a spindensitywave phase
journal, July 2015
 Yamase, Hiroyuki; Zeyher, Roland
 New Journal of Physics, Vol. 17, Issue 7
Quantum criticality in the iron pnictides and chalcogenides
journal, May 2011
 Abrahams, Elihu; Si, Qimiao
 Journal of Physics: Condensed Matter, Vol. 23, Issue 22
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
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
Intraunitcell nematic charge order in the titaniumoxypnictide family of superconductors
journal, December 2014
 Frandsen, Benjamin A.; Bozin, Emil S.; Hu, Hefei
 Nature Communications, Vol. 5, Issue 1
From antiferromagnetism to superconductivity in ${\text{Fe}}_{1+y}{\text{Te}}_{1x}{\text{Se}}_{x}$ $\left(0\le x\le 0.20\right)$ : Neutron powder diffraction analysis
journal, March 2010
 Martinelli, A.; Palenzona, A.; Tropeano, M.
 Physical Review B, Vol. 81, Issue 9
Arsenicbridged antiferromagnetic superexchange interactions in LaFeAsO
journal, December 2008
 Ma, Fengjie; Lu, ZhongYi; Xiang, Tao
 Physical Review B, Vol. 78, Issue 22
Ising transition in frustrated Heisenberg models
journal, January 1990
 Chandra, P.; Coleman, P.; Larkin, A. I.
 Physical Review Letters, Vol. 64, Issue 1
Dimensional crossover in the quasitwodimensional IsingO(3) model
journal, December 2011
 Kamiya, Y.; Kawashima, N.; Batista, C. D.
 Physical Review B, Vol. 84, Issue 21
Electronic liquidcrystal phases of a doped Mott insulator
journal, June 1998
 Kivelson, S. A.; Fradkin, E.; Emery, V. J.
 Nature, Vol. 393, Issue 6685
Nematic phase without Heisenberg physics in FeAs planes
journal, December 2011
 Capati, M.; Grilli, M.; Lorenzana, J.
 Physical Review B, Vol. 84, Issue 21
What drives nematic order in ironbased superconductors?
journal, January 2014
 Fernandes, R. M.; Chubukov, A. V.; Schmalian, J.
 Nature Physics, Vol. 10, Issue 2
Magnetism in Parent Iron Chalcogenides: Quantum Fluctuations Select Plaquette Order
journal, October 2012
 Ducatman, Samuel; Perkins, Natalia B.; Chubukov, Andrey
 Physical Review Letters, Vol. 109, Issue 15
Theory of the evolution of magnetic order in ${\mathrm{Fe}}_{1+y}\mathrm{Te}$ compounds with increasing interstitial iron
journal, October 2014
 Ducatman, Samuel; Fernandes, Rafael M.; Perkins, Natalia B.
 Physical Review B, Vol. 90, Issue 16
FerroOrbital Ordering Transition in Iron Telluride ${\mathrm{Fe}}_{1+y}\mathrm{Te}$
journal, May 2014
 Fobes, David; Zaliznyak, Igor A.; Xu, Zhijun
 Physical Review Letters, Vol. 112, Issue 18
Origin of nematic order in FeSe
journal, May 2015
 Chubukov, Andrey V.; Fernandes, Rafael M.; Schmalian, Joerg
 Physical Review B, Vol. 91, Issue 20
Origin of the 150K Anomaly in LaFeAsO: Competing Antiferromagnetic Interactions, Frustration, and a Structural Phase Transition
journal, August 2008
 Yildirim, T.
 Physical Review Letters, Vol. 101, Issue 5
Theory of electron nematic order in LaFeAsO
journal, June 2008
 Fang, Chen; Yao, Hong; Tsai, WeiFeng
 Physical Review B, Vol. 77, Issue 22
Chargedensitywave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spinfermion model: Continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in holedoped cuprates
journal, July 2014
 Wang, Yuxuan; Chubukov, Andrey
 Physical Review B, Vol. 90, Issue 3
Firstorder magnetic and structural phase transitions in ${\text{Fe}}_{1+y}{\text{Se}}_{x}{\text{Te}}_{1x}$
journal, February 2009
 Li, Shiliang; de la Cruz, Clarina; Huang, Q.
 Physical Review B, Vol. 79, Issue 5
Effects of Nematic Fluctuations on the Elastic Properties of Iron Arsenide Superconductors
journal, October 2010
 Fernandes, R. M.; VanBebber, L. H.; Bhattacharya, S.
 Physical Review Letters, Vol. 105, Issue 15
Ordering due to disorder in a frustrated vector antiferromagnet
journal, April 1989
 Henley, Christopher L.
 Physical Review Letters, Vol. 62, Issue 17
Ubiquitous signatures of nematic quantum criticality in optimally doped Febased superconductors
journal, May 2016
 Kuo, H. H.; Chu, J. H.; Palmstrom, J. C.
 Science, Vol. 352, Issue 6288
Tunable ( $\delta \pi $ , $\delta \pi $ )Type Antiferromagnetic Order in $\alpha $ Fe(Te,Se) Superconductors
journal, June 2009
 Bao, Wei; Qiu, Y.; Huang, Q.
 Physical Review Letters, Vol. 102, Issue 24
Preemptive nematic order, pseudogap, and orbital order in the iron pnictides
journal, January 2012
 Fernandes, R. M.; Chubukov, A. V.; Knolle, J.
 Physical Review B, Vol. 85, Issue 2
Global phase diagram for magnetism and lattice distortion of ironpnictide materials
journal, September 2009
 Qi, Yang; Xu, Cenke
 Physical Review B, Vol. 80, Issue 9
Structure antiferroma gnetique de Fe1. 125Te accompagnee d'une deformation monoclinique
journal, March 1975
 Fruchart, D.; Convert, P.; Wolfers, P.
 Materials Research Bulletin, Vol. 10, Issue 3
Doublestage nematic bond ordering above double stripe magnetism: Application to ${\mathrm{BaTi}}_{2}{\mathrm{Sb}}_{2}\mathrm{O}$
journal, May 2017
 Zhang, G.; Glasbrenner, J. K.; Flint, R.
 Physical Review B, Vol. 95, Issue 17
A magnetic analogue of stereoisomerism : application to helimagnetism in two dimensions
journal, January 1977
 Villain, J.
 Journal de Physique, Vol. 38, Issue 4
Order as an effect of disorder
journal, January 1980
 Villain, J.; Bidaux, R.; Carton, J. P.
 Journal de Physique, Vol. 41, Issue 11
A key role for unusual spin dynamics in ferropnictides
journal, December 2008
 Mazin, I. I.; Johannes, M. D.
 Nature Physics, Vol. 5, Issue 2
Magnetoelastic effects in iron telluride
journal, March 2011
 Paul, I.; Cano, A.; Sengupta, K.
 Physical Review B, Vol. 83, Issue 11
Figures / Tables found in this record: