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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

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

The two-particle self-consistent approach (TPSC) is a method for the one-band Hubbard model that can be both numerically efficient and reliable. However, TPSC fails to yield physical results deep in the renormalized classical regime of the…

Strongly Correlated Electrons · Physics 2024-01-17 C. Gauvin-Ndiaye , C. Lahaie , Y. M. Vilk , A. -M. S. Tremblay

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

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

Theoretical methods that are accurate for both short-distance observables and long-wavelength collective modes are still being developed for the Hubbard model. Here, we benchmark an approach that combines dynamical mean-field theory (DMFT)…

Strongly Correlated Electrons · Physics 2023-03-09 N. Martin , C. Gauvin-Ndiaye , A. -M. S. Tremblay

Even at weak to intermediate coupling, the Hubbard model poses a formidable challenge. In two dimensions in particular, standard methods such as the Random Phase Approximation are no longer valid since they predict a finite temperature…

Strongly Correlated Electrons · Physics 2015-05-28 A. -M. S. Tremblay

Recently a quantum simulator for the 2D Fermi-Hubbard model on an anisotropic triangular lattice has been realized, where both geometrical frustration and doping can be continuously tuned. Here we provide a comprehensive comparison between…

Strongly Correlated Electrons · Physics 2024-09-06 Guan-hua Huang , Zhigang Wu

We investigate performing classical and quantum metrology and parameter estimation by using interacting trapped bosons, which we theoretically treat by a self-consistent many-body approach of the multiconfigurational Hartree type. Focusing…

Quantum Physics · Physics 2024-06-24 Jae-Gyun Baak , Uwe R. Fischer

We extend the two-particle self-consistent method proposed by Vilk and Tremblay (J. Phys. I France 7, 1309-1368 (1997)) to study superconductivity in multi-orbital systems. Starting with the sum rules for the spin and charge…

Superconductivity · Physics 2013-01-16 Hideyuki Miyahara , Ryotaro Arita , Hiroaki Ikeda

We generalize the two-particle self-consistent approach (TPSC) to study the extended Hubbard model, where nearest-neighbor interaction is present in addition to the usual local screened interaction. Similarities and differences between the…

Strongly Correlated Electrons · Physics 2009-11-11 B. Davoudi , A. -M. S. Tremblay

Nonlocal correlations play an essential role in correlated electron systems, especially in the vicinity of phase transitions and crossovers, where two-particle correlation functions display a distinct momentum dependence. In nonequilibrium…

Strongly Correlated Electrons · Physics 2023-06-29 Olivier Simard , Philipp Werner

Effects of two-body dipolar interactions on the effective permittivity/conductivity of a binary, symmetric, random dielectric composite are investigated in a self-consistent framework. By arbitrarily splitting the singularity of the Green…

Disordered Systems and Neural Networks · Physics 2012-06-06 Yves-Patrick Pellegrini , François Willot

Representing a strongly interacting multi-particle wave function in a finite product basis leads to errors. Simple rescaling of the contact interaction can preserve the low-lying energy spectrum and long-wavelength structure of wave…

Quantum Gases · Physics 2011-08-23 Thomas Ernst , David W. Hallwood , Jake Gulliksen , Hans-Dieter Meyer , Joachim Brand

The dominantly orbital state method allows a semiclassical description of quantum systems. At the origin, it was developed for two-body relativistic systems. Here, the method is extended to treat two-body Hamiltonians and systems with three…

Quantum Physics · Physics 2013-06-07 Claude Semay , Fabien Buisseret

The nuclear many-body problem for medium-mass systems is commonly addressed using wave-function expansion methods that build upon a second-quantized representation of many-body operators with respect to a chosen computational basis. While…

Nuclear Theory · Physics 2021-02-02 J. Hoppe , A. Tichai , M. Heinz , K. Hebeler , A. Schwenk

Starting from the second post-Keplerian (2PK) Hamiltonian describing the conservative part of the two-body dynamics in massless scalar-tensor (ST) theories, we build an effective-one-body (EOB) Hamiltonian which is a $\nu$-deformation…

General Relativity and Quantum Cosmology · Physics 2018-02-07 Félix-Louis Julié

The development of numerical methods capable of simulating realistic materials with strongly correlated electrons, with controllable errors, is a central challenge in quantum many-body physics. Here we describe how a hybrid between…

Strongly Correlated Electrons · Physics 2015-04-23 Alexei A. Kananenka , Emanuel Gull , Dominika Zgid

We investigate the role of non-local correlations in LiFeAs by exploring an ab-initio-derived multi-orbital Hubbard model for LiFeAs via the Two-Particle Self-Consistent (TPSC) approach. The multi-orbital formulation of TPSC approximates…

Strongly Correlated Electrons · Physics 2020-10-26 Karim Zantout , Steffen Backes , Roser Valentí

Quantum many-body simulation provides a straightforward way to understand fundamental physics and connect with quantum information applications. However, suffering from exponentially growing Hilbert space size, characterization in terms of…

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