Broken mirror symmetry, incommensurate spin correlations, and B2g nematic order in iron pnictides

Wang, Yiming; Hu, Wenjun; Yu, Rong; Si, Qimiao

doi:10.1103/physrevb.100.100502

Broken mirror symmetry, incommensurate spin correlations, and B_{2_g} nematic order in iron pnictides

Journal Article · Mon Sep 16 04:00:00 EDT 2019 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.100.100502· OSTI ID:1612873

Wang, Yiming ^[1]; Hu, Wenjun ^[2]; Yu, Rong ^[3]; Si, Qimiao ^[2]

Renmin Univ. of China, Beijing (China); DOE/OSTI
Rice Univ., Houston, TX (United States)
Renmin Univ. of China, Beijing (China)

Motivated by recent experiments in the extremely hole doped iron pnictide compounds AFe₂As₂ (A = K, Rb, Cs), we consider spin-driven nematic order for incommensurate magnetic fluctuations. We classify the nematic order parameters by broken mirror symmetries of the tetragonal D_4h point group, and use this scheme to construct a general Ginzburg-Landau theory that links the nematic order to spatial pattern of magnetic fluctuations. Our analysis points to incommensurate (q,q) magnetic fluctuations as underlying a B_{2_g} nematic order in AFe₂As₂. We substantiate this idea by microscopic calculations based on three-sublattice (2π/3,2π/3) spin correlations in an extended bilinear-biquadratic Heisenberg model. Our classification scheme provides symmetry-based understanding for quasidegeneracy of several nematic channels. The proposed mechanism resolves recently emerged experimental puzzles. Furthermore, we suggest ways to further test it in future experiments and discuss the implications of our results for iron-based high temperature superconductivity.

View Accepted Manuscript (DOE)

Research Organization:: Rice Univ., Houston, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0018197

OSTI ID:: 1612873

Alternate ID(s):: OSTI ID: 1562166

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 10 Vol. 100; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (43)

Orbital-dependent effects of electron correlations in microscopic models for iron-based superconductors Yu, Rong; Zhu, Jian-Xin; Si, Qimiao Current Opinion in Solid State and Materials Science, Vol. 17, Issue 2 https://doi.org/10.1016/j.cossms.2013.05.003	journal	April 2013
Using gap symmetry and structure to reveal the pairing mechanism in Fe-based superconductors Hirschfeld, Peter J. Comptes Rendus Physique, Vol. 17, Issue 1-2 https://doi.org/10.1016/j.crhy.2015.10.002	journal	January 2016
Principles of Condensed Matter Physics Chaikin, P. M.; Lubensky, T. C. https://doi.org/10.1017/CBO9780511813467	book	January 1995
Iron-Based Layered Superconductor La[O _1- _x F _x ]FeAs ( x = 0.05−0.12) with T _c = 26 K Kamihara, Yoichi; Watanabe, Takumi; Hirano, Masahiro Journal of the American Chemical Society, Vol. 130, Issue 11 https://doi.org/10.1021/ja800073m	journal	March 2008
High-temperature superconductivity in iron pnictides and chalcogenides Si, Qimiao; Yu, Rong; Abrahams, Elihu Nature Reviews Materials, Vol. 1, Issue 4 https://doi.org/10.1038/natrevmats.2016.17	journal	March 2016
Proximity of iron pnictide superconductors to a quantum tricritical point Giovannetti, Gianluca; Ortix, Carmine; Marsman, Martijn Nature Communications, Vol. 2, Issue 1 https://doi.org/10.1038/ncomms1407	journal	July 2011
Magnetically driven suppression of nematic order in an iron-based superconductor Avci, S.; Chmaissem, O.; Allred, J. M. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4845	journal	May 2014
Superconductivity-induced re-entrance of the orthorhombic distortion in Ba1−xKxFe2As2 Böhmer, A. E.; Hardy, F.; Wang, L. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms8911	journal	July 2015
Strong interplay between stripe spin fluctuations, nematicity and superconductivity in FeSe Wang, Qisi; Shen, Yao; Pan, Bingying Nature Materials, Vol. 15, Issue 2 https://doi.org/10.1038/nmat4492	journal	December 2015
Double-Q spin-density wave in iron arsenide superconductors Allred, J. M.; Taddei, K. M.; Bugaris, D. E. Nature Physics, Vol. 12, Issue 5 https://doi.org/10.1038/nphys3629	journal	January 2016
Evidence of nematic order and nodal superconducting gap along [110] direction in RbFe2As2 Liu, Xi; Tao, Ran; Ren, Mingqiang Nature Communications, Vol. 10, Issue 1 https://doi.org/10.1038/s41467-019-08962-z	journal	March 2019
Spin excitations in hole-overdoped iron-based superconductors Horigane, K.; Kihou, K.; Fujita, K. Scientific Reports, Vol. 6, Issue 1 https://doi.org/10.1038/srep33303	journal	September 2016
Iron pnictides as a new setting for quantum criticality Dai, J.; Si, Q.; Zhu, J. -X. Proceedings of the National Academy of Sciences, Vol. 106, Issue 11 https://doi.org/10.1073/pnas.0900886106	journal	March 2009
Symmetry-breaking orbital anisotropy observed for detwinned Ba(Fe1-xCox)2As2 above the spin density wave transition Yi, M.; Lu, D.; Chu, J. -H. Proceedings of the National Academy of Sciences, Vol. 108, Issue 17 https://doi.org/10.1073/pnas.1015572108	journal	April 2011
The puzzle of high temperature superconductivity in layered iron pnictides and chalcogenides Johnston, David C. Advances in Physics, Vol. 59, Issue 6 https://doi.org/10.1080/00018732.2010.513480	journal	October 2010
Theory of Dipole Interaction in Crystals Luttinger, J. M.; Tisza, L. Physical Review, Vol. 70, Issue 11-12 https://doi.org/10.1103/PhysRev.70.954	journal	December 1946
Origin of diverse nematic orders in Fe-based superconductors: 45 ∘ rotated nematicity in A Fe 2 As 2 ( A = Cs , Rb ) Onari, Seiichiro; Kontani, Hiroshi Physical Review B, Vol. 100, Issue 2 https://doi.org/10.1103/PhysRevB.100.020507	journal	July 2019
Incommensurate correlations in the t - J and frustrated spin-1/2 Heisenberg models Moreo, Adriana; Dagotto, Elbio; Jolicoeur, Thierry Physical Review B, Vol. 42, Issue 10 https://doi.org/10.1103/PhysRevB.42.6283	journal	October 1990
Theory of electron nematic order in LaFeAsO Fang, Chen; Yao, Hong; Tsai, Wei-Feng Physical Review B, Vol. 77, Issue 22 https://doi.org/10.1103/PhysRevB.77.224509	journal	June 2008
Ising and spin orders in the iron-based superconductors Xu, Cenke; Müller, Markus; Sachdev, Subir Physical Review B, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevB.78.020501	journal	July 2008
Nematic spin fluid in the tetragonal phase of BaFe 2 As 2 Harriger, L. W.; Luo, H. Q.; Liu, M. S. Physical Review B, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevB.84.054544	journal	August 2011
Competition between two- and three-sublattice ordering for S = 1 spins on the square lattice Tóth, Tamás A.; Läuchli, Andreas M.; Mila, Frédéric Physical Review B, Vol. 85, Issue 14 https://doi.org/10.1103/PhysRevB.85.140403	journal	April 2012
Magnetic and Ising quantum phase transitions in a model for isoelectronically tuned iron pnictides Wu, Jianda; Si, Qimiao; Abrahams, Elihu Physical Review B, Vol. 93, Issue 10 https://doi.org/10.1103/PhysRevB.93.104515	journal	March 2016
Double-stage nematic bond ordering above double stripe magnetism: Application to BaTi 2 Sb 2 O Zhang, G.; Glasbrenner, J. K.; Flint, R. Physical Review B, Vol. 95, Issue 17 https://doi.org/10.1103/PhysRevB.95.174402	journal	May 2017
Possible bicollinear nematic state with monoclinic lattice distortions in iron telluride compounds Bishop, Christopher B.; Herbrych, Jacek; Dagotto, Elbio Physical Review B, Vol. 96, Issue 3 https://doi.org/10.1103/PhysRevB.96.035144	journal	July 2017
Antiferroquadrupolar and Ising-Nematic Orders of a Frustrated Bilinear-Biquadratic Heisenberg Model and Implications for the Magnetism of FeSe Yu, Rong; Si, Qimiao Physical Review Letters, Vol. 115, Issue 11 https://doi.org/10.1103/PhysRevLett.115.116401	journal	September 2015
Strain-Driven Approach to Quantum Criticality in A Fe 2 As 2 with A = K , Rb, and Cs Eilers, Felix; Grube, Kai; Zocco, Diego A. Physical Review Letters, Vol. 116, Issue 23 https://doi.org/10.1103/PhysRevLett.116.237003	journal	June 2016
Bicollinear Antiferromagnetic Order, Monoclinic Distortion, and Reversed Resistivity Anisotropy in FeTe as a Result of Spin-Lattice Coupling Bishop, Christopher B.; Moreo, Adriana; Dagotto, Elbio Physical Review Letters, Vol. 117, Issue 11 https://doi.org/10.1103/PhysRevLett.117.117201	journal	September 2016
Antiferromagnetic order and spin dynamics in iron-based superconductors Dai, Pengcheng Reviews of Modern Physics, Vol. 87, Issue 3 https://doi.org/10.1103/RevModPhys.87.855	journal	August 2015
The Electron-Pairing Mechanism of Iron-Based Superconductors Wang, F.; Lee, D. -H. Science, Vol. 332, Issue 6026 https://doi.org/10.1126/science.1200182	journal	April 2011
Divergent Nematic Susceptibility in an Iron Arsenide Superconductor Chu, J. -H.; Kuo, H. -H.; Analytis, J. G. Science, Vol. 337, Issue 6095 https://doi.org/10.1126/science.1221713	journal	August 2012
Magnetically-Driven Suppression of Nematic Order in an Iron-Based Superconductor Avci, Sevda; Chmaissem, Omar; Rosenkranz, Stephan arXiv https://doi.org/10.48550/arxiv.1303.2647	text	January 2013
Orbital-dependent effects of electron correlations in microscopic models for iron-based superconductors Yu, Rong; Zhu, Jian-Xin; Si, Qimiao arXiv https://doi.org/10.48550/arxiv.1306.1697	text	January 2013
Magnetic and Ising quantum phase transitions in a model for isoelectronically tuned iron pnictides Wu, Jianda; Si, Qimiao; Abrahams, Elihu arXiv https://doi.org/10.48550/arxiv.1406.5136	text	January 2014
Antiferroquadrupolar and Ising-Nematic Orders of a Frustrated Bilinear-Biquadratic Heisenberg Model and Implications for the Magnetism of FeSe Yu, Rong; Si, Qimiao arXiv https://doi.org/10.48550/arxiv.1501.05926	text	January 2015
Strong Interplay between Stripe Spin Fluctuations, Nematicity and Superconductivity in FeSe Wang, Qisi; Shen, Yao; Pan, Bingying arXiv https://doi.org/10.48550/arxiv.1502.07544	text	January 2015
Antiferromagnetic order and spin dynamics in iron-based superconductors Dai, Pengcheng arXiv https://doi.org/10.48550/arxiv.1503.02340	text	January 2015
Double-Q spin-density wave in iron arsenide superconductors Allred, J. M.; Taddei, K. M.; Bugaris, D. E. arXiv https://doi.org/10.48550/arxiv.1505.06175	text	January 2015
Using Gap Symmetry and Structure to Reveal the Pairing Mechanism in Fe-based Superconductors Hirschfeld, P. J. arXiv https://doi.org/10.48550/arxiv.1510.01386	text	January 2015
High Temperature Superconductivity in Iron Pnictides and Chalcogenides Si, Qimiao; Yu, Rong; Abrahams, Elihu arXiv https://doi.org/10.48550/arxiv.1604.03566	text	January 2016
Bicollinear Antiferromagnetic Order, Monoclinic Distortion, and Reversed Resistivity Anisotropy in FeTe as a Result of Spin-Lattice Coupling Bishop, Christopher B.; Moreo, Adriana; Dagotto, Elbio arXiv https://doi.org/10.48550/arxiv.1606.00904	text	January 2016
Possible Bicollinear Nematic State with Monoclinic Lattice Distortions in Iron Telluride Compounds Bishop, C. B.; Herbrych, J.; Dagotto, E. arXiv https://doi.org/10.48550/arxiv.1704.03495	text	January 2017
Evidence of nematic order and nodal superconducting gap along [110] direction in RbFe2As2 Liu, Xi; Tao, Ran; Ren, Mingqiang arXiv https://doi.org/10.48550/arxiv.1803.07304	text	January 2018

Cited By (4)

Novel electronic nematicity in heavily hole-doped iron pnictide superconductors Ishida, Kousuke; Tsujii, Masaya; Hosoi, Suguru Proceedings of the National Academy of Sciences, Vol. 117, Issue 12 https://doi.org/10.1073/pnas.1909172117	journal	March 2020
Density matrix renormalization group study of nematicity in two dimensions: Application to a spin-1 bilinear-biquadratic model on the square lattice Hu, Wen-Jun; Gong, Shou-Shu; Lai, Hsin-Hua Physical Review B, Vol. 101, Issue 1 https://doi.org/10.1103/physrevb.101.014421	journal	January 2020
Anisotropic magnetic excitations of a frustrated bilinear-biquadratic spin model: Implications for spin waves of detwinned iron pnictides Liu, Changle; Lu, Xingye; Dai, Pengcheng Physical Review B, Vol. 101, Issue 2 https://doi.org/10.1103/physrevb.101.024510	journal	January 2020
Density Matrix Renormalization Group Study of Nematicity in Two Dimensions: Application to a Spin-$1$ Bilinear-Biquadratic Model on the Square Lattice Hu, Wen-Jun; Gong, Shou-Shu; Lai, Hsin-Hua arXiv https://doi.org/10.48550/arxiv.2001.05377	text	January 2020

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Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
Density matrix renormalization group
Heisenberg model
Iron-based superconductors
Landau-Ginzburg theory
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