Magnetism, Superconductivity, and Spontaneous Orbital Order in Iron-Based Superconductors: Which Comes First and Why?
Abstract
Magnetism and nematic order are the two nonsuperconducting orders observed in iron-based superconductors. To elucidate the interplay between them and ultimately unveil the pairing mechanism, several models have been investigated. In models with quenched orbital degrees of freedom, magnetic fluctuations promote stripe magnetism, which induces orbital order. In models with quenched spin degrees of freedom, charge fluctuations promote spontaneous orbital order, which induces stripe magnetism. Here, we develop an unbiased approach, in which we treat magnetic and orbital fluctuations on equal footing. Key to our approach is the inclusion of the orbital character of the low-energy electronic states into renormalization group (RG) analysis. We analyze the RG flow of the couplings and argue that the same magnetic fluctuations, which are known to promote s± superconductivity, also promote an attraction in the orbital channel, even if the bare orbital interaction is repulsive. We next analyze the RG flow of the susceptibilities and show that, if all Fermi pockets are small, the system first develops a spontaneous orbital order, then s± superconductivity, and magnetic order does not develop down to T=0. We argue that this scenario applies to FeSe. In systems with larger pockets, such as BaFe2As2 and LaFeAsO, we find thatmore »
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Minnesota, Minneapolis, MN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1334230
- Alternate Identifier(s):
- OSTI ID: 1364416
- Grant/Contract Number:
- SC0014402; SC0012336
- Resource Type:
- Published Article
- Journal Name:
- Physical Review. X
- Additional Journal Information:
- Journal Name: Physical Review. X Journal Volume: 6 Journal Issue: 4; Journal ID: ISSN 2160-3308
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Chubukov, Andrey V., Khodas, M., and Fernandes, Rafael M. Magnetism, Superconductivity, and Spontaneous Orbital Order in Iron-Based Superconductors: Which Comes First and Why?. United States: N. p., 2016.
Web. doi:10.1103/PhysRevX.6.041045.
Chubukov, Andrey V., Khodas, M., & Fernandes, Rafael M. Magnetism, Superconductivity, and Spontaneous Orbital Order in Iron-Based Superconductors: Which Comes First and Why?. United States. https://doi.org/10.1103/PhysRevX.6.041045
Chubukov, Andrey V., Khodas, M., and Fernandes, Rafael M. Fri .
"Magnetism, Superconductivity, and Spontaneous Orbital Order in Iron-Based Superconductors: Which Comes First and Why?". United States. https://doi.org/10.1103/PhysRevX.6.041045.
@article{osti_1334230,
title = {Magnetism, Superconductivity, and Spontaneous Orbital Order in Iron-Based Superconductors: Which Comes First and Why?},
author = {Chubukov, Andrey V. and Khodas, M. and Fernandes, Rafael M.},
abstractNote = {Magnetism and nematic order are the two nonsuperconducting orders observed in iron-based superconductors. To elucidate the interplay between them and ultimately unveil the pairing mechanism, several models have been investigated. In models with quenched orbital degrees of freedom, magnetic fluctuations promote stripe magnetism, which induces orbital order. In models with quenched spin degrees of freedom, charge fluctuations promote spontaneous orbital order, which induces stripe magnetism. Here, we develop an unbiased approach, in which we treat magnetic and orbital fluctuations on equal footing. Key to our approach is the inclusion of the orbital character of the low-energy electronic states into renormalization group (RG) analysis. We analyze the RG flow of the couplings and argue that the same magnetic fluctuations, which are known to promote s± superconductivity, also promote an attraction in the orbital channel, even if the bare orbital interaction is repulsive. We next analyze the RG flow of the susceptibilities and show that, if all Fermi pockets are small, the system first develops a spontaneous orbital order, then s± superconductivity, and magnetic order does not develop down to T=0. We argue that this scenario applies to FeSe. In systems with larger pockets, such as BaFe2As2 and LaFeAsO, we find that the leading instability is either towards a spin-density wave or superconductivity. We argue that in this situation nematic order is caused by composite spin fluctuations and is vestigial to stripe magnetism. Finally, our results provide a unifying description of different iron-based materials.},
doi = {10.1103/PhysRevX.6.041045},
journal = {Physical Review. X},
number = 4,
volume = 6,
place = {United States},
year = {Fri Dec 02 00:00:00 EST 2016},
month = {Fri Dec 02 00:00:00 EST 2016}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevX.6.041045
https://doi.org/10.1103/PhysRevX.6.041045
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 137 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Functional renormalization group for multi-orbital Fermi surface instabilities
journal, November 2013
- Platt, C.; Hanke, W.; Thomale, R.
- Advances in Physics, Vol. 62, Issue 4-6
Interpocket Pairing and Gap Symmetry in Fe-Based Superconductors with Only Electron Pockets
journal, June 2012
- Khodas, M.; Chubukov, A. V.
- Physical Review Letters, Vol. 108, Issue 24
Ising and spin orders in the iron-based superconductors
journal, July 2008
- Xu, Cenke; Müller, Markus; Sachdev, Subir
- Physical Review B, Vol. 78, Issue 2
Self-consistent determination of the interaction strength: Application to the iron arsenide superconductors
journal, July 2010
- Kutepov, A.; Haule, K.; Savrasov, S. Y.
- Physical Review B, Vol. 82, Issue 4
Spin-orbital interplay and topology in the nematic phase of iron pnictides
journal, June 2015
- Fanfarillo, Laura; Cortijo, Alberto; Valenzuela, Belén
- Physical Review B, Vol. 91, Issue 21
Orbitally and magnetically induced anisotropy in iron-based superconductors
journal, November 2011
- Lv, Weicheng; Phillips, Philip
- Physical Review B, Vol. 84, Issue 17
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
Distinguishing spin-orbit coupling and nematic order in the electronic spectrum of iron-based superconductors
journal, December 2014
- Fernandes, Rafael M.; Vafek, Oskar
- Physical Review B, Vol. 90, Issue 21
Pairing Mechanism in Fe-Based Superconductors
journal, March 2012
- Chubukov, Andrey
- Annual Review of Condensed Matter Physics, Vol. 3, Issue 1
Critical quadrupole fluctuations and collective modes in iron pnictide superconductors
journal, February 2016
- Thorsmølle, V. K.; Khodas, M.; Yin, Z. P.
- Physical Review B, Vol. 93, Issue 5
Manifestations of nematic degrees of freedom in the magnetic, elastic, and superconducting properties of the iron pnictides
journal, July 2012
- Fernandes, Rafael M.; Schmalian, Jörg
- Superconductor Science and Technology, Vol. 25, Issue 8
Continuous Renormalization for Fermions and Fermi Liquid Theory
journal, June 1998
- Salmhofer, Manfred
- Communications in Mathematical Physics, Vol. 194, Issue 2
Phase transitions in spin-orbital models with spin-space anisotropies for iron pnictides: Monte Carlo simulations
journal, February 2012
- Applegate, Ryan; Singh, Rajiv R. P.; Chen, Cheng-Chien
- Physical Review B, Vol. 85, Issue 5
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
Ferro-Orbital Order and Strong Magnetic Anisotropy in the Parent Compounds of Iron-Pnictide Superconductors
journal, December 2009
- Lee, Chi-Cheng; Yin, Wei-Guo; Ku, Wei
- Physical Review Letters, Vol. 103, Issue 26
Magnetism, superconductivity, and pairing symmetry in iron-based superconductors
journal, October 2008
- Chubukov, A. V.; Efremov, D. V.; Eremin, I.
- Physical Review B, Vol. 78, Issue 13
Spin dynamics and orbital-antiphase pairing symmetry in iron-based superconductors
journal, October 2014
- Yin, Z. P.; Haule, K.; Kotliar, G.
- Nature Physics, Vol. 10, Issue 11
Momentum-dependent sign inversion of orbital order in superconducting FeSe
journal, November 2015
- Suzuki, Y.; Shimojima, T.; Sonobe, T.
- Physical Review B, Vol. 92, Issue 20
Pnictogen height as a possible switch between high- nodeless and low- nodal pairings in the iron-based superconductors
journal, June 2009
- Kuroki, Kazuhiko; Usui, Hidetomo; Onari, Seiichiro
- Physical Review B, Vol. 79, Issue 22
Non-Fermi liquid due to orbital fluctuations in iron pnictide superconductors
journal, December 2012
- Lee, Wei-Cheng; Phillips, Philip W.
- Physical Review B, Vol. 86, Issue 24
Unconventional Pairing Originating from the Disconnected Fermi Surfaces of Superconducting
journal, August 2008
- Kuroki, Kazuhiko; Onari, Seiichiro; Arita, Ryotaro
- Physical Review Letters, Vol. 101, Issue 8
Renormalization group study of interaction-driven quantum anomalous Hall and quantum spin Hall phases in quadratic band crossing systems
journal, May 2014
- Murray, James M.; Vafek, Oskar
- Physical Review B, Vol. 89, Issue 20
Near-degeneracy of several pairing channels in multiorbital models for the Fe pnictides
journal, February 2009
- Graser, S.; Maier, T. A.; Hirschfeld, P. J.
- New Journal of Physics, Vol. 11, Issue 2
Magnetic degeneracy and hidden metallicity of the spin-density-wave state in ferropnictides
journal, January 2010
- Eremin, I.; Chubukov, A. V.
- Physical Review B, Vol. 81, Issue 2
Emergence of the nematic electronic state in FeSe
journal, April 2015
- Watson, M. D.; Kim, T. K.; Haghighirad, A. A.
- Physical Review B, Vol. 91, Issue 15
Fermi systems with strong forward scattering
journal, May 1998
- Metzner, Walter; Castellani, Claudio; Di Castro, Carlo
- Advances in Physics, Vol. 47, Issue 3
Self-consistent Vertex Correction Analysis for Iron-based Superconductors: Mechanism of Coulomb Interaction-Driven Orbital Fluctuations
journal, September 2012
- Onari, Seiichiro; Kontani, Hiroshi
- Physical Review Letters, Vol. 109, Issue 13
Nematicity and Magnetism in FeSe and Other Families of Fe-Based Superconductors
journal, June 2016
- Yamakawa, Youichi; Onari, Seiichiro; Kontani, Hiroshi
- Physical Review X, Vol. 6, Issue 2
Orbital-driven nematicity in FeSe
journal, November 2014
- Baek, S-H.; Efremov, D. V.; Ok, J. M.
- Nature Materials, Vol. 14, Issue 2
Interaction-induced singular Fermi surface in a high-temperature oxypnictide superconductor
journal, May 2015
- Charnukha, A.; Thirupathaiah, S.; Zabolotnyy, V. B.
- Scientific Reports, Vol. 5, Issue 1
Renormalization group analysis of competing orders and the pairing symmetry in Fe-based superconductors
journal, May 2009
- Chubukov, A. V.
- Physica C: Superconductivity, Vol. 469, Issue 9-12
Origin of nematic order in FeSe
journal, May 2015
- Chubukov, Andrey V.; Fernandes, Rafael M.; Schmalian, Joerg
- Physical Review B, Vol. 91, Issue 20
Anomalous Fermi surface in FeSe seen by Shubnikov–de Haas oscillation measurements
journal, October 2014
- Terashima, Taichi; Kikugawa, Naoki; Kiswandhi, Andhika
- Physical Review B, Vol. 90, Issue 14
Antiferromagnetically driven electronic correlations in iron pnictides and cuprates
journal, August 2009
- Zhai, Hui; Wang, Fa; Lee, Dung-Hai
- Physical Review B, Vol. 80, Issue 6
Nematicity driven by hybridization in iron-based superconductors
journal, April 2013
- Stanev, Valentin; Littlewood, Peter B.
- Physical Review B, Vol. 87, Issue 16
Gap symmetry and structure of Fe-based superconductors
journal, October 2011
- Hirschfeld, P. J.; Korshunov, M. M.; Mazin, I. I.
- Reports on Progress in Physics, Vol. 74, Issue 12
Impact of the two Fe unit cell on the electronic structure measured by ARPES in iron pnictides
journal, August 2012
- Brouet, V.; Jensen, M. Fuglsang; Lin, Ping-Hui
- Physical Review B, Vol. 86, Issue 7
Conductivity Anisotropy in the Antiferromagnetic State of Iron Pnictides
journal, November 2010
- Valenzuela, B.; Bascones, E.; Calderón, M. J.
- Physical Review Letters, Vol. 105, Issue 20
Renormalization group flow, competing phases, and the structure of superconducting gap in multiband models of iron-based superconductors
journal, December 2010
- Maiti, Saurabh; Chubukov, Andrey V.
- Physical Review B, Vol. 82, Issue 21
Fermiology, orbital order, orbital fluctuations, and Cooper pairing in iron-based superconductors
journal, September 2013
- Yang, Fan; Wang, Fa; Lee, Dung-Hai
- Physical Review B, Vol. 88, Issue 10
Field-induced superconducting phase of FeSe in the BCS-BEC cross-over
journal, November 2014
- Kasahara, Shigeru; Watashige, Tatsuya; Hanaguri, Tetsuo
- Proceedings of the National Academy of Sciences, Vol. 111, Issue 46
Selective Mott Physics as a Key to Iron Superconductors
journal, April 2014
- de’ Medici, Luca; Giovannetti, Gianluca; Capone, Massimo
- Physical Review Letters, Vol. 112, Issue 17
Spin Ferroquadrupolar Order in the Nematic Phase of FeSe
journal, June 2016
- Wang, Zhentao; Hu, Wen-Jun; Nevidomskyy, Andriy H.
- Physical Review Letters, Vol. 116, Issue 24
Effect of disorder on the competition between nematic and superconducting order in FeSe
journal, October 2016
- Mishra, V.; Hirschfeld, P. J.
- New Journal of Physics, Vol. 18, Issue 10
Unconventional Superconductivity with a Sign Reversal in the Order Parameter of
journal, July 2008
- Mazin, I. I.; Singh, D. J.; Johannes, M. D.
- Physical Review Letters, Vol. 101, Issue 5
Microscopically derived Ginzburg-Landau 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
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
Chiral superconductivity from repulsive interactions in doped graphene
journal, January 2012
- Nandkishore, Rahul; Levitov, L. S.; Chubukov, A. V.
- Nature Physics, Vol. 8, Issue 2
Space group symmetry, spin-orbit coupling, and the low-energy effective Hamiltonian for iron-based superconductors
journal, October 2013
- Cvetkovic, Vladimir; Vafek, Oskar
- Physical Review B, Vol. 88, Issue 13
Nematicity and quantum paramagnetism in FeSe
journal, September 2015
- Wang, Fa; Kivelson, Steven A.; Lee, Dung-Hai
- Nature Physics, Vol. 11, Issue 11
Competing magnetic double- phases and superconductivity-induced reentrance of magnetic stripe order in iron pnictides
journal, October 2015
- Gastiasoro, Maria N.; Andersen, Brian M.
- Physical Review B, Vol. 92, Issue 14
Spin nematic fluctuations near a spin-density-wave phase
journal, July 2015
- Yamase, Hiroyuki; Zeyher, Roland
- New Journal of Physics, Vol. 17, Issue 7
Large Temperature Dependence of the Number of Carriers in Co-Doped
journal, April 2013
- Brouet, V.; Lin, Ping-Hui; Texier, Y.
- Physical Review Letters, Vol. 110, Issue 16
Kinetic frustration and the nature of the magnetic and paramagnetic states in iron pnictides and iron chalcogenides
journal, September 2011
- Yin, Z. P.; Haule, K.; Kotliar, G.
- Nature Materials, Vol. 10, Issue 12
Charge nematicity and electronic Raman scattering in iron-based superconductors
journal, January 2016
- Gallais, Yann; Paul, Indranil
- Comptes Rendus Physique, Vol. 17, Issue 1-2
Competing many-body instabilities and unconventional superconductivity in graphene
journal, July 2012
- Kiesel, Maximilian L.; Platt, Christian; Hanke, Werner
- Physical Review B, Vol. 86, Issue 2
Ising transition in frustrated Heisenberg models
journal, January 1990
- Chandra, P.; Coleman, P.; Larkin, A. I.
- Physical Review Letters, Vol. 64, Issue 1
Strong spin fluctuations in observed by neutron spectroscopy
journal, May 2015
- Rahn, M. C.; Ewings, R. A.; Sedlmaier, S. J.
- Physical Review B, Vol. 91, Issue 18
Unusual Temperature Dependence of Band Dispersion in and its Consequences for Antiferromagnetic Ordering
journal, February 2013
- Dhaka, R. S.; Hahn, S. E.; Razzoli, E.
- Physical Review Letters, Vol. 110, Issue 6
Valley density-wave and multiband superconductivity in iron-based pnictide superconductors
journal, July 2009
- Cvetkovic, Vladimir; Tesanovic, Zlatko
- Physical Review B, Vol. 80, Issue 2
Fermi-Surface Shrinking and Interband Coupling in Iron-Based Pnictides
journal, July 2009
- Ortenzi, L.; Cappelluti, E.; Benfatto, L.
- Physical Review Letters, Vol. 103, Issue 4
Observation of two distinct / band splittings in FeSe
journal, June 2015
- Zhang, P.; Qian, T.; Richard, P.
- Physical Review B, Vol. 91, Issue 21
Antiferroquadrupolar and Ising-Nematic Orders of a Frustrated Bilinear-Biquadratic Heisenberg Model and Implications for the Magnetism of FeSe
journal, September 2015
- Yu, Rong; Si, Qimiao
- Physical Review Letters, Vol. 115, Issue 11
Raman resonance in iron-based superconductors: The magnetic scenario
journal, February 2016
- Hinojosa, Alberto; Cai, Jiashen; Chubukov, Andrey V.
- Physical Review B, Vol. 93, Issue 7
Spin-driven nematic instability of the multiorbital Hubbard model: Application to iron-based superconductors
journal, February 2016
- Christensen, Morten H.; Kang, Jian; Andersen, Brian M.
- Physical Review B, Vol. 93, Issue 8
Pairing in the iron arsenides: a functional RG treatment
journal, May 2009
- Platt, Christian; Honerkamp, Carsten; Hanke, Werner
- New Journal of Physics, Vol. 11, Issue 5
Sensitivity of the superconducting state and magnetic susceptibility to key aspects of electronic structure in ferropnictides
journal, July 2010
- Kemper, A. F.; Maier, T. A.; Graser, S.
- New Journal of Physics, Vol. 12, Issue 7
Vertical loop nodes in iron-based superconductors
journal, October 2012
- Khodas, M.; Chubukov, A. V.
- Physical Review B, Vol. 86, Issue 14
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
Spin-orbital frustrations and anomalous metallic state in iron-pnictide superconductors
journal, February 2009
- Krüger, Frank; Kumar, Sanjeev; Zaanen, Jan
- Physical Review B, Vol. 79, Issue 5
Magnetism and its microscopic origin in iron-based high-temperature superconductors
journal, October 2012
- Dai, Pengcheng; Hu, Jiangping; Dagotto, Elbio
- Nature Physics, Vol. 8, Issue 10
Theory of electron nematic order in LaFeAsO
journal, June 2008
- Fang, Chen; Yao, Hong; Tsai, Wei-Feng
- Physical Review B, Vol. 77, Issue 22
Superconductivity from orbital nematic fluctuations
journal, November 2013
- Yamase, Hiroyuki; Zeyher, Roland
- Physical Review B, Vol. 88, Issue 18
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
Strong cooperative coupling of pressure-induced magnetic order and nematicity in FeSe
journal, September 2016
- Kothapalli, K.; Böhmer, A. E.; Jayasekara, W. T.
- Nature Communications, Vol. 7, Issue 1
Superconductivity close to the Mott state: From condensed-matter systems to superfluidity in optical lattices
journal, July 2009
- Hur, Karyn Le; Maurice Rice, T.
- Annals of Physics, Vol. 324, Issue 7
The puzzle of high temperature superconductivity in layered iron pnictides and chalcogenides
journal, October 2010
- Johnston, David C.
- Advances in Physics, Vol. 59, Issue 6
Octet-Line Node Structure of Superconducting Order Parameter in KFe2As2
journal, September 2012
- Okazaki, K.; Ota, Y.; Kotani, Y.
- Science, Vol. 337, Issue 6100