Orbital order in FeSe: The case for vertex renormalization
Abstract
We study the structure of the orbital order Γ = †xzdxz - d†yzdyz> in FeSe in light of recent scanning tunneling microscopy and angle-resolved photoemission spectroscopy (ARPES) data, which detect the shapes of the hole and electron pockets in the nematic phase. The geometry of the pockets indicates that the sign of Γ is different between the hole and electron pockets (Γh and Γe). We argue that this sign change cannot be reproduced if one solves for the orbital order within the mean-field approximation, as the mean-field analysis yields either no orbital order, or order with the same sign of Γe and Γh. We argue that another solution with the opposite signs of Γe and Γh emerges if we include the renormalizations of the vertices in the d -wave orbital channel. We show that the ratio |Γe/Γh| is of order one, independent of the strength of the interaction. We also compute the temperature variation of the energy of dxz and dyz orbitals at the center of electron pockets and compare the results with ARPES data.
- Authors:
-
- Univ. of Minnesota, Minneapolis, MN (United States)
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1466620
- Alternate Identifier(s):
- OSTI ID: 1461574
- Report Number(s):
- BNL-207975-2018-JAAM
Journal ID: ISSN 2469-9950; PRBMDO
- Grant/Contract Number:
- SC0012704; SC0014402
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 98; Journal Issue: 4; 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
Xing, Rui-Qi, Classen, Laura, and Chubukov, Andrey V. Orbital order in FeSe: The case for vertex renormalization. United States: N. p., 2018.
Web. doi:10.1103/PhysRevB.98.041108.
Xing, Rui-Qi, Classen, Laura, & Chubukov, Andrey V. Orbital order in FeSe: The case for vertex renormalization. United States. https://doi.org/10.1103/PhysRevB.98.041108
Xing, Rui-Qi, Classen, Laura, and Chubukov, Andrey V. Tue .
"Orbital order in FeSe: The case for vertex renormalization". United States. https://doi.org/10.1103/PhysRevB.98.041108. https://www.osti.gov/servlets/purl/1466620.
@article{osti_1466620,
title = {Orbital order in FeSe: The case for vertex renormalization},
author = {Xing, Rui-Qi and Classen, Laura and Chubukov, Andrey V.},
abstractNote = {We study the structure of the orbital order Γ = †xzdxz - d†yzdyz> in FeSe in light of recent scanning tunneling microscopy and angle-resolved photoemission spectroscopy (ARPES) data, which detect the shapes of the hole and electron pockets in the nematic phase. The geometry of the pockets indicates that the sign of Γ is different between the hole and electron pockets (Γh and Γe). We argue that this sign change cannot be reproduced if one solves for the orbital order within the mean-field approximation, as the mean-field analysis yields either no orbital order, or order with the same sign of Γe and Γh. We argue that another solution with the opposite signs of Γe and Γh emerges if we include the renormalizations of the vertices in the d -wave orbital channel. We show that the ratio |Γe/Γh| is of order one, independent of the strength of the interaction. We also compute the temperature variation of the energy of dxz and dyz orbitals at the center of electron pockets and compare the results with ARPES data.},
doi = {10.1103/PhysRevB.98.041108},
journal = {Physical Review B},
number = 4,
volume = 98,
place = {United States},
year = {2018},
month = {7}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 3 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:
Orbital-Selective Superconductivity and the Effect of Lattice Distortion in Iron-Based Superconductors
journal, July 2011
- Arakawa, Naoya; Ogata, Masao
- Journal of the Physical Society of Japan, Vol. 80, Issue 7
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
Electronic anisotropies revealed by detwinned angle-resolved photo-emission spectroscopy measurements of FeSe
journal, October 2017
- Watson, Matthew D.; Haghighirad, Amir A.; Rhodes, Luke C.
- New Journal of Physics, Vol. 19, Issue 10
Functional Renormalization-Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs-Based High-Temperature Superconductor
journal, January 2009
- Wang, Fa; Zhai, Hui; Ran, Ying
- Physical Review Letters, Vol. 102, Issue 4
Nodal spin density wave and band topology of the FeAs-based materials
journal, January 2009
- Ran, Ying; Wang, Fa; Zhai, Hui
- Physical Review B, Vol. 79, Issue 1
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
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
Interplay between Magnetism, Superconductivity, and Orbital Order in 5-Pocket Model for Iron-Based Superconductors: Parquet Renormalization Group Study
journal, January 2017
- Classen, Laura; Xing, Rui-Qi; Khodas, Maxim
- Physical Review Letters, Vol. 118, Issue 3
Pairing Mechanism in Fe-Based Superconductors
journal, March 2012
- Chubukov, Andrey
- Annual Review of Condensed Matter Physics, Vol. 3, Issue 1
Superconductivity in FeSe: The Role of Nematic Order
journal, June 2018
- Kang, Jian; Fernandes, Rafael M.; Chubukov, Andrey
- Physical Review Letters, Vol. 120, Issue 26
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
The Key Ingredients of the Electronic Structure of FeSe
journal, March 2018
- Coldea, Amalia I.; Watson, Matthew D.
- Annual Review of Condensed Matter Physics, Vol. 9, Issue 1
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
Orbital-dependent Fermi surface shrinking as a fingerprint of nematicity in FeSe
journal, October 2016
- Fanfarillo, Laura; Mansart, Joseph; Toulemonde, Pierre
- Physical Review B, Vol. 94, Issue 15
Competing instabilities, orbital ordering, and splitting of band degeneracies from a parquet renormalization group analysis of a four-pocket model for iron-based superconductors: Application to FeSe
journal, February 2017
- Xing, Rui-Qi; Classen, Laura; Khodas, Maxim
- Physical Review B, Vol. 95, Issue 8
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
Low-energy microscopic models for iron-based superconductors: a review
journal, November 2016
- Fernandes, Rafael M.; Chubukov, Andrey V.
- Reports on Progress in Physics, Vol. 80, Issue 1
Maximizing T c by tuning nematicity and magnetism in FeSe1−x S x superconductors
journal, October 2017
- Matsuura, K.; Mizukami, Y.; Arai, Y.
- Nature Communications, Vol. 8, Issue 1
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
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
Discovery of orbital-selective Cooper pairing in FeSe
journal, July 2017
- Sprau, P. O.; Kostin, A.; Kreisel, A.
- Science, Vol. 357, Issue 6346
Three-dimensional superconducting gap in FeSe from angle-resolved photoemission spectroscopy
journal, May 2018
- Kushnirenko, Y. S.; Fedorov, A. V.; Haubold, E.
- Physical Review B, Vol. 97, Issue 18
Sign-Reversing Orbital Polarization in the Nematic Phase of FeSe due to the Symmetry Breaking in the Self-Energy
journal, June 2016
- Onari, Seiichiro; Yamakawa, Youichi; Kontani, Hiroshi
- Physical Review Letters, Vol. 116, Issue 22
Nematicity at the Hund's metal crossover in iron superconductors
journal, April 2017
- Fanfarillo, L.; Giovannetti, G.; Capone, M.
- Physical Review B, Vol. 95, Issue 14
Effect of nematic ordering on electronic structure of FeSe
journal, November 2016
- Fedorov, A.; Yaresko, A.; Kim, T. K.
- Scientific Reports, Vol. 6, Issue 1
Highly Anisotropic and Twofold Symmetric Superconducting Gap in Nematically Ordered
journal, October 2016
- Xu, H. C.; Niu, X. H.; Xu, D. F.
- Physical Review Letters, Vol. 117, Issue 15
Magnetism, Superconductivity, and Spontaneous Orbital Order in Iron-Based Superconductors: Which Comes First and Why?
journal, December 2016
- Chubukov, Andrey V.; Khodas, M.; Fernandes, Rafael M.
- Physical Review X, Vol. 6, Issue 4
Superconducting gap anisotropy sensitive to nematic domains in FeSe
journal, January 2018
- Hashimoto, Takahiro; Ota, Yuichi; Yamamoto, Haruyoshi Q.
- Nature Communications, Vol. 9, Issue 1
Orbital differentiation and the role of orbital ordering in the magnetic state of Fe superconductors
journal, November 2012
- Bascones, E.; Valenzuela, B.; Calderón, M. J.
- Physical Review B, Vol. 86, Issue 17
Works referencing / citing this record:
Origin of diverse nematic orders in Fe-based superconductors: rotated nematicity in
journal, July 2019
- Onari, Seiichiro; Kontani, Hiroshi
- Physical Review B, Vol. 100, Issue 2
Multipole fluctuation theory for heavy fermion systems: Application to multipole orders in
journal, December 2019
- Tazai, Rina; Kontani, Hiroshi
- Physical Review B, Vol. 100, Issue 24