Intertwined spin-orbital coupled orders in the iron-based superconductors

Christensen, Morten H.; Kang, Jian; Fernandes, Rafael M.

doi:10.1103/physrevb.100.014512

Title: Intertwined spin-orbital coupled orders in the iron-based superconductors

Journal Article · Mon Jul 15 00:00:00 EDT 2019 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.100.014512· OSTI ID:1611764

^[1]; Kang, Jian ^[2]; Fernandes, Rafael M. ^[1]

Univ. of Minnesota, Minneapolis, MN (United States)
Univ. of Minnesota, Minneapolis, MN (United States); Florida State Univ., Tallahassee, FL (United States)

The underdoped phase diagram of the iron-based superconductors exemplifies the complexity common to many correlated materials. Indeed, multiple ordered states that break different symmetries but display comparable transition temperatures are present. Here we argue that such a complexity can be understood within a simple unifying framework. This framework, built to respect the symmetries of the nonsymmorphic space group of the FeAs/Se layer, consists of primary magnetically ordered states and their vestigial phases that intertwine spin and orbital degrees of freedom. All vestigial phases have Ising-like and zero wave-vector order parameters, described in terms of composite spin order and exotic orbital-order patterns such as spin-orbital loop currents, staggered atomic spin-orbit coupling, and emergent Rashba- and Dresselhaus-type spin-orbit interactions. Moreover, they host unusual phenomena, such as the electronematic effect, by which electric fields act as transverse fields to the nematic order parameter, and the ferro-Néel effect, by which a uniform magnetic field induces Néel order. Here, we discuss the experimental implications of our findings to iron-based superconductors and possible extensions to other correlated compounds with similar space groups.

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Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0012336

OSTI ID:: 1611764

Alternate ID(s):: OSTI ID: 1546437

Journal Information:: Physical Review. B, Vol. 100, Issue 1; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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Preemptive nematic order, pseudogap, and orbital order in the iron pnictides Fernandes, R. M.; Chubukov, A. V.; Knolle, J. arXiv https://doi.org/10.48550/arxiv.1110.1893	text	January 2011
Structural quantum criticality and superconductivity in iron-based superconductor Ba(Fe1-xCox)2As2 Yoshizawa, Masahito; Kimura, Daichi; Chiba, Taiji arXiv https://doi.org/10.48550/arxiv.1111.0366	text	January 2011
Interface induced high temperature superconductivity in single unit-cell FeSe films on SrTiO3 Wang, Qing-Yan; Li, Zhi; Zhang, Wen-Hao arXiv https://doi.org/10.48550/arxiv.1201.5694	text	January 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
Space group symmetry, spin-orbit coupling and the low energy effective Hamiltonian for iron based superconductors Cvetkovic, Vladimir; Vafek, Oskar arXiv https://doi.org/10.48550/arxiv.1304.3723	text	January 2013
Nematic State of the Pnictides Stabilized by the Interplay Between Spin, Orbital, and Lattice Degrees of Freedom Liang, Shuhua; Moreo, Adriana; Dagotto, Elbio arXiv https://doi.org/10.48550/arxiv.1305.1879	text	January 2013
Amperean pairing and the pseudogap phase of cuprate superconductors Lee, Patrick A. arXiv https://doi.org/10.48550/arxiv.1401.0519	text	January 2014
Evidence for a nematic component to the Hidden Order parameter in URu2Si2 from differential elastoresistance measurements Riggs, Scott C.; Shapiro, M. C.; Maharaj, Akash V. arXiv https://doi.org/10.48550/arxiv.1405.7403	text	January 2014
Unfolding of the electronic structure through the induced representations of space groups: Application to Fe-based superconductors Tomić, Milan; Jeschke, Harald O.; Valentí, Roser arXiv https://doi.org/10.48550/arxiv.1408.2258	text	January 2014
Symmetry of re-entrant tetragonal phase in Ba1-xNaxFe2As2: Magnetic versus orbital ordering mechanism Khalyavin, D. D.; Lovesey, S. W.; Manuel, P. arXiv https://doi.org/10.48550/arxiv.1409.5324	text	January 2014
Direct observation of spin-orbit coupling in iron-based superconductors Borisenko, Sergey; Evtushinsky, Danil; Morozov, Igor arXiv https://doi.org/10.48550/arxiv.1409.8669	text	January 2014
Spin-orbital interplay and topology in the nematic phase of iron pnictides Fanfarillo, L.; Cortijo, A.; Valenzuela, B. arXiv https://doi.org/10.48550/arxiv.1410.8488	text	January 2014
Distinguishing spin-orbit coupling and nematic order in the electronic spectrum of iron-based superconductors Fernandes, Rafael M.; Vafek, Oskar arXiv https://doi.org/10.48550/arxiv.1411.4303	text	January 2014
Competing magnetic double-Q phases and superconductivity-induced re-entrance of C2 magnetic stripe order in iron pnictides Gastiasoro, Maria N.; Andersen, Brian M. arXiv https://doi.org/10.48550/arxiv.1502.05859	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
Magnetic interactions in iron superconductors: A review Bascones, E.; Valenzuela, B.; Calderon, M. J. arXiv https://doi.org/10.48550/arxiv.1503.04223	text	January 2015
Vestigial chiral and charge orders from bidirectional spin-density waves: Application to the iron-based superconductors Fernandes, R. M.; Kivelson, S. A.; Berg, E. arXiv https://doi.org/10.48550/arxiv.1504.03656	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
Nematicity and magnetism in FeSe and other families of Fe-based superconductors Yamakawa, Youichi; Onari, Seiichiro; Kontani, Hiroshi arXiv https://doi.org/10.48550/arxiv.1509.01161	text	January 2015
Spin-Driven Nematic Instability of the Multi-Orbital Hubbard Model: Application to Iron-Based Superconductors Christensen, M. H.; Kang, Jian; Andersen, B. M. arXiv https://doi.org/10.48550/arxiv.1510.01389	text	January 2015
Complex phase diagram of Ba$_{1-x}$Na$_{x}$Fe$_{2}$As$_{2}$: a multitude of phases striving for the electronic entropy Wang, Liran; Hardy, F.; Böhmer, A. arXiv https://doi.org/10.48550/arxiv.1510.03685	text	January 2015
Magnetic ground state of FeSe Wang, Qisi; Shen, Yao; Pan, Bingying arXiv https://doi.org/10.48550/arxiv.1511.02485	text	January 2015
Detailed magnetic and structural analysis mapping a robust magnetic C4 dome in Sr1-xNaxFe2As2 Taddei, K. M.; Allred, J. M.; Bugaris, D. E. arXiv https://doi.org/10.48550/arxiv.1601.05693	text	January 2016
Magnetism, superconductivity, and spontaneous orbital order in iron-based superconductors: who comes first and why? Chubukov, Andrey V.; Khodas, Maxim; Fernandes, Rafael M. arXiv https://doi.org/10.48550/arxiv.1602.05503	text	January 2016
Low-energy microscopic models for iron-based superconductors: a review Fernandes, Rafael M.; Chubukov, Andrey V. arXiv https://doi.org/10.48550/arxiv.1607.00865	text	January 2016
Monolayer FeSe on SrTiO$_3$ Huang, Dennis; Hoffman, Jennifer E. arXiv https://doi.org/10.48550/arxiv.1703.09306	text	January 2017
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
Hedgehog spin-vortex crystal stabilized in a hole-doped iron-based superconductor Meier, W. R.; Ding, Q. -P.; Kreyssig, A. arXiv https://doi.org/10.48550/arxiv.1706.01067	text	January 2017
Intertwined vestigial order in quantum materials: nematicity and beyond Fernandes, Rafael M.; Orth, Peter P.; Schmalian, Jörg arXiv https://doi.org/10.48550/arxiv.1804.00818	text	January 2018
Space group symmetry, spin-orbit coupling, and the low-energy effective Hamiltonian for iron-based superconductors Cvetkovic, Vladimir; Vafek, Oskar Physical Review B, Vol. 88, Issue 13 https://doi.org/10.1103/physrevb.88.134510	journal	October 2013
Nematic State of Pnictides Stabilized by Interplay between Spin, Orbital, and Lattice Degrees of Freedom Liang, Shuhua; Moreo, Adriana; Dagotto, Elbio Physical Review Letters, Vol. 111, Issue 4 https://doi.org/10.1103/physrevlett.111.047004	journal	July 2013
Nematicity and Magnetism in FeSe and Other Families of Fe-Based Superconductors Yamakawa, Youichi; Onari, Seiichiro; Kontani, Hiroshi Physical Review X, Vol. 6, Issue 2 https://doi.org/10.1103/physrevx.6.021032	journal	June 2016
Competing orders in FeAs layers Lorenzana, J.; Seibold, G.; Ortix, C. arXiv https://doi.org/10.48550/arxiv.0807.2412	text	January 2008
Momentum-dependent sign-inversion of orbital polarization in superconducting FeSe Suzuki, Y.; Shimojima, T.; Sonobe, T. arXiv https://doi.org/10.48550/arxiv.1504.00980	text	January 2015

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Orbital transmutation and the electronic spectrum of FeSe in the nematic phase Christensen, Morten H.; Fernandes, Rafael M.; Chubukov, Andrey V. arXiv https://doi.org/10.48550/arxiv.1908.04889	text	January 2019

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