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A nonperturbative approach to anisotropic superconductivity is developed based on the idea of two-particle self-consistent (TPSC) theory by Vilk and Tremblay. A sum-rule which the momentum-dependent pairing susceptibility satisfies is…

Strongly Correlated Electrons · Physics 2012-03-21 Junya Otsuki

Extending many-body numerical techniques which are powerful in the context of simple model calculations to the realm of realistic material simulations can be a challenging task. Realistic systems often involve multiple active orbitals,…

Strongly Correlated Electrons · Physics 2025-07-23 Jonas B. Profe , Jiawei Yan , Karim Zantout , Philipp Werner , Roser Valentí

To understand the recently established unique magnetic and superconducting phase diagram of LaFeAsO$_{1-x}$H$_x$, we analyze the realistic multiorbital tight-binding model for $x=0 \sim 0.4$ beyond the rigid band approximation. Both the…

Superconductivity · Physics 2013-07-24 Y. Yamakawa , S. Onari , H. Kontani , N. Fujiwara , S. Iimura , H. Hosono

We preform a multi-orbital analysis on the novel superconductivity in Na_{x}CoO_{2} \cdot yH_{2}O. We construct a three-orbital model which reproduces the band structure expected from the LDA calculation. The effective interaction leading…

Superconductivity · Physics 2009-11-10 Youichi Yanase , Masahito Mochizuki , Masao Ogata

The Emery model, or three-band Hubbard model, is a Hamiltonian that is thought to contain much of the physics of cuprate superconductors. This model includes two noninteracting $p$ orbitals and one interacting $d$ orbital per unit cell. Few…

Strongly Correlated Electrons · Physics 2023-08-29 C. Gauvin-Ndiaye , J. Leblanc , S. Marin , N. Martin , D. Lessnich , A. -M. S. Tremblay

One of the most challenging problems in solid state systems is the microscopic analysis of electronic correlations. A paramount minimal model that encodes correlation effects is the Hubbard Hamiltonian, which -- albeit its simplicity -- is…

Strongly Correlated Electrons · Physics 2022-11-03 Karim Zantout , Steffen Backes , Roser Valenti

A self-consistent theory for two-particle fluctuations with renormalized irreducible vertices is proposed. Using the Parquet formalism, we construct the fully antisymmetric full vertex in terms of the two-particle fluctuations in the…

Strongly Correlated Electrons · Physics 2015-05-19 Hiroaki Kusunose

In this work we present a multi-orbital form of the Two-Particle Self-Consistent approach (TPSC), here the effective local and static irreducible interaction vertices are determined by means of the Dynamical Mean-Field Theory (DMFT). This…

Strongly Correlated Electrons · Physics 2023-06-16 Karim Zantout , Steffen Backes , Aleksandar Razpopov , Dominik Lessnich , Roser Valenti

We study the mechanism of the triplet superconductivity in Sr2RuO4 based on the multiorbital Hubbard model. The electronic states are studied using the renormalization group method. Thanks to the vertex correction (VC) for the…

Superconductivity · Physics 2015-04-16 Masahisa Tsuchiizu , Youichi Yamakawa , Yusuke Ohno , Seiichiro Onari , Hiroshi Kontani

We study the mechanism of the triplet superconductivity (TSC) in Sr$_2$RuO$_4$ based on the multiorbital Hubbard model. The electronic states are studied using the recently developed renormalization group method combined with the…

Strongly Correlated Electrons · Physics 2015-04-10 Masahisa Tsuchiizu , Youichi Yamakawa , Seiichiro Onari , Yusuke Ohno , Hiroshi Kontani

We develop a nonequilibrium multi-orbital extension of the two-particle self-consistent theory and apply it to the bilayer Hubbard model as a minimal platform to investigate correlation effects in the presence of interlayer interactions and…

Strongly Correlated Electrons · Physics 2025-10-16 Jiawei Yan , Jonas B. Profe , Yuta Murakami , Philipp Werner

We present the nonequilibrium implementation of the two-particle self-consistent (TPSC) approach, which has been shown to provide a reliable equilibrium description of interacting lattice systems in the weak- and intermediate-correlation…

Strongly Correlated Electrons · Physics 2022-12-27 Olivier Simard , Philipp Werner

We propose orbital fluctuations in a multi-band ground state as the superconducting pairing mechanism in the new iron-based materials. We develop a general SU(4) theoretical framework for studying a two-orbital model and discuss a number of…

Superconductivity · Physics 2008-11-18 Tudor D. Stanescu , Victor Galitski , S. Das Sarma

The two-particle-self-consistent theory is applied to the single-impurity Anderson model. It is found that it cannot reproduce the small energy scale in the strong correlation limit. A modified scheme to overcome this difficulty is proposed…

Strongly Correlated Electrons · Physics 2009-10-31 Tetsuro Saso

Although correlated electronic-structure calculations explain very well the normal state of Sr$_2$RuO$_4$, its superconducting symmetry is still unknown. Here we construct the spin and charge fluctuation pairing interactions based on its…

Superconductivity · Physics 2019-11-27 Olivier Gingras , Reza Nourafkan , André-Marie S. Tremblay , Michel Côté

We study the mechanism of orbital/spin fluctuations due to multiorbital Coulomb interaction in iron-based superconductors, going beyond the random-phase-approximation. For this purpose, we develop a self-consistent vertex correction (SC-VC)…

Superconductivity · Physics 2012-09-26 Seiichiro Onari , Hiroshi Kontani

Spontaneous symmetry breaking of interacting fermion systems constitutes a major challenge for many-body theory due to the proliferation of new independent scattering channels once absent or degenerate in the symmetric phase. One example is…

Strongly Correlated Electrons · Physics 2025-05-30 Lorenzo Del Re

We explore possible superconducting states in $t_{2g}$ multi-orbital correlated electron systems with strong spin-orbit coupling (SOC). In order to study such systems in a controlled manner, we employ large-scale dynamical mean-field theory…

Strongly Correlated Electrons · Physics 2014-10-24 Zi Yang Meng , Yong Baek Kim , Hae-Young Kee

To understand the amazing variety of the superconducting states of Fe-based superconductors, we analyze the multiorbital Hubbard models for LaFeAsO and LiFeAs going beyond the random-phase approximation (RPA), by calculating the vertex…

Favorably scaling numerical time-dependent many-electron techniques such as time-dependent density functional theory (TDDFT) with adiabatic exchange-correlation potentials typically fail in capturing highly correlated electron dynamics. We…

Atomic Physics · Physics 2013-11-25 M. Brics , D. Bauer
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