High-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>Superconductivity near the Anion Height Instability in Fe-Based Superconductors: Analysis of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>LaFeAsO</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi></mml:

Onari, Seiichiro; Yamakawa, Youichi; Kontani, Hiroshi

doi:10.1103/physrevlett.112.187001

Cited by 70 publications

(110 citation statements)

References 49 publications

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“…Although we cannot access the intermediate and strong-coupling regime with DiagMC, it seems unlikely that a weak-coupling based MBPT approach which is found to be unreliable in the weak-coupling regime can be trusted in the more strongly correlated regime. While MBPT methods have been employed by many groups to study transition metal and actinide compounds [38,[48][49][50], our findings put a question mark behind the use of GW or FLEX (both the one-shot and self-consistent variants) in studies of lattice models or materials with substantial local correlations.…”

Section: Discussionmentioning

confidence: 99%

“…1), which means that this approximation treats the interaction of electrons via spin, density, and pairing fluctuations on equal footing. All of these approximations have been widely used to study the properties of interacting lattice models or realistic materials in the weak-to-intermediate correlation regime [35][36][37][38].…”

Section: B Weak-coupling Approachesmentioning

confidence: 99%

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On the dangers of partial diagrammatic summations: Benchmarks for the two-dimensional Hubbard model in the weak-coupling regime

Gukelberger

Werner

2015

Phys. Rev. B

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We study the two-dimensional Hubbard model in the weak-coupling regime and compare the self-energy obtained from various approximate diagrammatic schemes to the result of diagrammatic Monte Carlo simulations, which sum up all weak-coupling diagrams up to a given order. While dynamical mean-field theory provides a good approximation for the local part of the self-energy, including its frequency dependence, the partial summation of bubble and/or ladder diagrams typically yields worse results than second-order perturbation theory. Even widely used self-consistent schemes such as GW or the fluctuation-exchange approximation (FLEX) are found to be unreliable. Combining the dynamical mean-field self-energy with the nonlocal component of GW in GW + DMFT yields improved results for the local self-energy and nonlocal self-energies of the correct order of magnitude, but here, too, a more reliable scheme is obtained by restricting the nonlocal contribution to the second-order diagram. FLEX + DMFT is found to give accurate results in the low-density regime, but even worse results than FLEX near half-filling.

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Section: Discussionmentioning

confidence: 99%

Section: B Weak-coupling Approachesmentioning

confidence: 99%

On the dangers of partial diagrammatic summations: Benchmarks for the two-dimensional Hubbard model in the weak-coupling regime

Gukelberger

Werner

2015

Phys. Rev. B

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“…The mean-field-level approximations, such as the random-phase approximation (RPA), are insufficient to explain these experimental facts. Thus, we study the role of the vertex correction (VC) in multiorbital models that describes the strong charge-spin interference [33][34][35][36][37]. Other than cuprates, nematic states are realized in multiorbital systems with strong correlations.…”

mentioning

confidence: 99%

“…Other than cuprates, nematic states are realized in multiorbital systems with strong correlations. In Fe pnictides, a spin-nematic mechanism [38] and an orbital-nematic one [33,37,39,40] have been proposed. In both scenarios, spin-fluctuation-driven nematicity is discussed.…”

mentioning

confidence: 99%

“…In both scenarios, spin-fluctuation-driven nematicity is discussed. The latter scenario proposes the orbital order due to the spinfluctuation-driven VC, and this scenario is applicable even when the spin fluctuations are incommensurate [33][34][35]37], like in BaðFe 1−x Co x Þ 2 As 2 with x ≥ 0.056 (T N ≤ 30 K). In cuprates, the VC will develop for both the d and p orbitals, since both orbitals largely contribute to the density of states (DOS) at the Fermi level.…”

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confidence: 99%

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Spin-Fluctuation-Driven Nematic Charge-Density Wave in Cuprate Superconductors: Impact of Aslamazov-Larkin Vertex Corrections

Yamakawa

Kontani

2015

Phys. Rev. Lett.

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We present a microscopic derivation of the nematic charge-density wave (CDW) formation in cuprate superconductors based on the three-orbital d-p Hubbard model by introducing the vertex correction (VC) into the charge susceptibility. The CDW instability at q=(Δ(FS),0), (0,Δ(FS)) appears when the spin fluctuations are strong, due to the strong charge-spin interference represented by the VC. Here, Δ(FS) is the wave number between the neighboring hot spots. The obtained spin-fluctuation-driven CDW is expressed as the "intra-unit-cell orbital order" accompanied by the charge transfer between the neighboring atomic orbitals, which is actually observed by the scanning tunneling microscope measurements. We predict that the cuprate CDW and the nematic orbital order in Fe-based superconductors are closely related spin-fluctuation-driven phenomena.

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Orbital+Spin Multimode Fluctuation Theory in Iron-based Superconductors

Onari

Kontani

2014

Iron-Based Superconductivity

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High-TcSuperconductivity near the Anion Height Instability in Fe-Based Superconductors: Analysis ofLaFeAsO1−x

Cited by 70 publications

References 49 publications

On the dangers of partial diagrammatic summations: Benchmarks for the two-dimensional Hubbard model in the weak-coupling regime

On the dangers of partial diagrammatic summations: Benchmarks for the two-dimensional Hubbard model in the weak-coupling regime

Spin-Fluctuation-Driven Nematic Charge-Density Wave in Cuprate Superconductors: Impact of Aslamazov-Larkin Vertex Corrections

Orbital+Spin Multimode Fluctuation Theory in Iron-based Superconductors

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