Orbital order in FeSe: The case for vertex renormalization

Xing, Rui-Qi; Classen, Laura; Chubukov, Andrey V.

doi:10.1103/PhysRevB.98.041108

Title: Orbital order in FeSe: The case for vertex renormalization

Abstract

We study the structure of the orbital order Γ = ^†_xzd_xz - d^†_yzd_yz> 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 (Γ_h and Γ_e). 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 Γ_e and Γh. We argue that another solution with the opposite signs of Γ_e and Γ_h emerges if we include the renormalizations of the vertices in the d -wave orbital channel. We show that the ratio |Γ_e/Γ_h| is of order one, independent of the strength of the interaction. We also compute the temperature variation of the energy of d_xz and d_yz orbitals at the center of electron pockets and compare the results with ARPES data.

Authors:

Xing, Rui-Qi ^[1]; Classen, Laura ^[2]; Chubukov, Andrey V. ^[1]

Univ. of Minnesota, Minneapolis, MN (United States)
Brookhaven National Lab. (BNL), Upton, NY (United States)

Publication Date:: 2018-07-24

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.

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                    Xing, Rui-Qi, Classen, Laura, & Chubukov, Andrey V. Orbital order in FeSe: The case for vertex renormalization.  United States.  doi:https://doi.org/10.1103/PhysRevB.98.041108

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                    Xing, Rui-Qi, Classen, Laura, and Chubukov, Andrey V. Tue .  
        "Orbital order in FeSe: The case for vertex renormalization".  United States.  doi:https://doi.org/10.1103/PhysRevB.98.041108.  https://www.osti.gov/servlets/purl/1466620.

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@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}

}

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DOI: https://doi.org/10.1103/PhysRevB.98.041108

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Works referencing / citing this record:

Multipole fluctuation theory for heavy fermion systems: Application to multipole orders in ${CeB}_{6}$
journal, December 2019

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Origin of diverse nematic orders in Fe-based superconductors: $45^{\circ}$ rotated nematicity in $A {Fe}_{2} {As}_{2} (A = Cs, Rb)$
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Title: Orbital order in FeSe: The case for vertex renormalization

Abstract

Citation Formats

Orbital-Selective Superconductivity and the Effect of Lattice Distortion in Iron-Based Superconductors journal, July 2011

Functional renormalization group for multi-orbital Fermi surface instabilities journal, November 2013

Electronic anisotropies revealed by detwinned angle-resolved photo-emission spectroscopy measurements of FeSe journal, October 2017

Functional Renormalization-Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs-Based High-Temperature Superconductor journal, January 2009

Nodal spin density wave and band topology of the FeAs-based materials journal, January 2009

Selective Mott Physics as a Key to Iron Superconductors journal, April 2014

Distinguishing spin-orbit coupling and nematic order in the electronic spectrum of iron-based superconductors journal, December 2014

Interplay between Magnetism, Superconductivity, and Orbital Order in 5-Pocket Model for Iron-Based Superconductors: Parquet Renormalization Group Study journal, January 2017

Pairing Mechanism in Fe-Based Superconductors journal, March 2012

Superconductivity in FeSe: The Role of Nematic Order journal, June 2018

Space group symmetry, spin-orbit coupling, and the low-energy effective Hamiltonian for iron-based superconductors journal, October 2013

The Key Ingredients of the Electronic Structure of FeSe journal, March 2018

Momentum-dependent sign inversion of orbital order in superconducting FeSe journal, November 2015

Orbital-dependent Fermi surface shrinking as a fingerprint of nematicity in FeSe journal, October 2016

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

Kinetic frustration and the nature of the magnetic and paramagnetic states in iron pnictides and iron chalcogenides journal, September 2011

Low-energy microscopic models for iron-based superconductors: a review journal, November 2016

Maximizing T c by tuning nematicity and magnetism in FeSe1−x S x superconductors journal, October 2017

Near-degeneracy of several pairing channels in multiorbital models for the Fe pnictides journal, February 2009

Fermi-Surface Shrinking and Interband Coupling in Iron-Based Pnictides journal, July 2009

Discovery of orbital-selective Cooper pairing in FeSe journal, July 2017

Three-dimensional superconducting gap in FeSe from angle-resolved photoemission spectroscopy journal, May 2018

Sign-Reversing Orbital Polarization in the Nematic Phase of FeSe due to the C 2 Symmetry Breaking in the Self-Energy journal, June 2016

Nematicity at the Hund's metal crossover in iron superconductors journal, April 2017

Effect of nematic ordering on electronic structure of FeSe journal, November 2016

Highly Anisotropic and Twofold Symmetric Superconducting Gap in Nematically Ordered FeSe 0.93 S 0.07 journal, October 2016

Magnetism, Superconductivity, and Spontaneous Orbital Order in Iron-Based Superconductors: Which Comes First and Why? journal, December 2016

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Orbital differentiation and the role of orbital ordering in the magnetic state of Fe superconductors journal, November 2012

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Orbital-Selective Superconductivity and the Effect of Lattice Distortion in Iron-Based Superconductors
journal, July 2011

Functional renormalization group for multi-orbital Fermi surface instabilities
journal, November 2013

Electronic anisotropies revealed by detwinned angle-resolved photo-emission spectroscopy measurements of FeSe
journal, October 2017

Functional Renormalization-Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs-Based High-Temperature Superconductor
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Nodal spin density wave and band topology of the FeAs-based materials
journal, January 2009

Selective Mott Physics as a Key to Iron Superconductors
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Distinguishing spin-orbit coupling and nematic order in the electronic spectrum of iron-based superconductors
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Interplay between Magnetism, Superconductivity, and Orbital Order in 5-Pocket Model for Iron-Based Superconductors: Parquet Renormalization Group Study
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The Key Ingredients of the Electronic Structure of FeSe
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Momentum-dependent sign inversion of orbital order in superconducting FeSe
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Orbital-dependent Fermi surface shrinking as a fingerprint of nematicity in FeSe
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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
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Kinetic frustration and the nature of the magnetic and paramagnetic states in iron pnictides and iron chalcogenides
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Low-energy microscopic models for iron-based superconductors: a review
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Effect of nematic ordering on electronic structure of FeSe
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Highly Anisotropic and Twofold Symmetric Superconducting Gap in Nematically Ordered ${FeSe}_{0.93} S_{0.07}$
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