4.6 Article

Improved two-particle self-consistent approach for the single-band Hubbard model in two dimensions

Related references

Note: Only part of the references are listed.
Article Computer Science, Software Engineering

sparse-ir: Optimal compression and sparse sampling of many-body propagators

Markus Wallerberger et al.

Summary: sparse-ir is a collection of libraries for efficiently handling imaginary-time propagators in finite-temperature quantum many-body calculations. It combines the concepts of intermediate representation (IR) and sparse sampling, and can be easily included into existing software with a wide range of sample codes.

SOFTWAREX (2023)

Article Materials Science, Multidisciplinary

Improved effective vertices in the multiorbital two-particle self-consistent method from dynamical mean-field theory

Karim Zantout et al.

Summary: In this paper, the authors propose a multiorbital form of the two-particle self-consistent approach (TPSC) that utilizes the dynamical mean-field theory (DMFT) to determine the effective local and static irreducible interaction vertices. The authors find that this approach leads to more accurate local vertices and can access stronger correlated systems. Additionally, they replace the TPSC self-energy with the DMFT impurity self-energy, resulting in an improved self-energy that incorporates both strong local correlations and momentum dependence.

PHYSICAL REVIEW B (2023)

Review Physics, Condensed Matter

The Hubbard Model: A Computational Perspective

Mingpu Qin et al.

Summary: The Hubbard model, as the simplest model of interacting fermions on a lattice, exhibits a wealth of phases, phase transitions, and exotic correlation phenomena. In recent years, numerical tools have made impressive progress in achieving quantitative accurate results, offering deeper insights into the correlation physics of the model.

ANNUAL REVIEW OF CONDENSED MATTER PHYSICS (2022)

Review Physics, Multidisciplinary

Phase Diagram of Nickelate Superconductors Calculated by Dynamical Vertex Approximation

Karsten Held et al.

Summary: In this study, the electronic structure of nickelate superconductors is reviewed, with and without considering the effects of electronic correlations. The results reveal that specific orbitals and an electron reservoir play key roles in the superconducting doping regime. Furthermore, the study finds that different physical phenomena can emerge under specific conditions, suggesting that different mechanisms may affect the occurrence of superconductivity.

FRONTIERS IN PHYSICS (2022)

Article Materials Science, Multidisciplinary

Nonequilibrium two-particle self-consistent approach

Olivier Simard et al.

Summary: This paper presents the nonequilibrium implementation of the two-particle self-consistent (TPSC) approach, which has been demonstrated to provide a reliable and versatile description of interacting lattice systems. The method captures the effects of local and nonlocal correlations in two -and higher-dimensional systems and satisfies the Mermin-Wagner theorem. The authors demonstrate the performance of nonequilibrium TPSC through calculations of spin and charge response functions, as well as the evolution of effective temperatures in the two-dimensional Hubbard model.

PHYSICAL REVIEW B (2022)

Review Physics, Multidisciplinary

Two-dimensional Hubbard model at finite temperature: Weak, strong, and long correlation regimes

Fedor Simkovic et al.

Summary: In this study, we investigated the momentum-resolved spin and charge susceptibilities, as well as the chemical potential and double occupancy in the two-dimensional Hubbard model. We identified three regimes - weak coupling, strong coupling with short-range correlations, and intermediate coupling with long magnetic correlation lengths - based on these quantities. We observed an additional crossover from commensurate to incommensurate correlations in the spin channel. In contrast, charge correlations were found to be only short ranged, suggesting that spin and charge responses are decoupled. We introduced a connected determinant diagrammatic Monte Carlo algorithm for obtaining numerically exact results. Our method allowed us to work on arbitrarily large lattices and gain physical insights from investigating the analytic structure of perturbative series. We also compared our results with previous work on smaller lattice geometries and reported significant finite-size effects.

PHYSICAL REVIEW RESEARCH (2022)

Article Materials Science, Multidisciplinary

Disorder effects on hot spots in electron-doped cuprates

C. Gauvin-Ndiaye et al.

Summary: In the 2D Hubbard model, a violation of the Vilk criterion near the antiferromagnetic quantum critical point can lead to a modification of the conditions for the appearance of hot spots when sufficient disorder is added.

PHYSICAL REVIEW B (2022)

Review Physics, Multidisciplinary

Two-Particle Self-Consistent Method for the Multi-Orbital Hubbard Model

Karim Zantout et al.

Summary: This review introduces the non-perturbative two-particle self-consistent method (TPSC) and its multi-orbital generalization for Hubbard models, discussing its particular features on interacting models in comparison to dynamical mean-field theory results.

ANNALEN DER PHYSIK (2021)

Article Mathematics, Applied

ANDERSON ACCELERATION FOR A CLASS OF NONSMOOTH FIXED-POINT PROBLEMS

Wei Bian et al.

Summary: This research proves the convergence of Anderson acceleration for a class of nonsmooth fixed-point problems, where the nonlinearities can be decomposed into a smooth contractive part and a nonsmooth part with a small Lipschitz constant. These problems arise from the composition of completely continuous integral operators and pointwise nonsmooth functions, and the results are illustrated with two examples.

SIAM JOURNAL ON SCIENTIFIC COMPUTING (2021)

Article Physics, Multidisciplinary

Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model

Thomas Schaefer et al.

Summary: The study compared various quantum many-body methods using the Hubbard model in different physical regimes, such as incoherent, metallic, and insulating with pseudogap created by antiferromagnetic fluctuations, in order to assess their ability to address these regimes and crossovers. Through computational and analytical analysis, the role of spin fluctuations and the accuracy of dynamical mean-field theory in approximating local quantities in the metallic regime were elucidated. Additionally, the study critically discussed the ability of imaginary-time methods to capture the non-Fermi-liquid singularities in the system.

PHYSICAL REVIEW X (2021)

Article Materials Science, Multidisciplinary

Nickelate superconductors-a renaissance of the one-band Hubbard model

Motoharu Kitatani et al.

NPJ QUANTUM MATERIALS (2020)

Article Materials Science, Multidisciplinary

Sparse sampling approach to efficient ab initio calculations at finite temperature

Jia Li et al.

PHYSICAL REVIEW B (2020)

Article Physics, Multidisciplinary

Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory

G. Rohringer et al.

REVIEWS OF MODERN PHYSICS (2018)

Article Materials Science, Multidisciplinary

Cuprate diamagnetism in the presence of a pseudogap: Beyond the standard fluctuation formalism

Rufus Boyack et al.

PHYSICAL REVIEW B (2018)

Article Physics, Multidisciplinary

Determinant Diagrammatic Monte Carlo Algorithm in the Thermodynamic Limit

Riccardo Rossi

PHYSICAL REVIEW LETTERS (2017)

Article Multidisciplinary Sciences

First-Principles Correlated Approach to the Normal State of Strontium Ruthenate

S. Acharya et al.

SCIENTIFIC REPORTS (2017)

Article Materials Science, Multidisciplinary

Compressing Green's function using intermediate representation between imaginary- ime and real-frequency domains

Hiroshi Shinaoka et al.

PHYSICAL REVIEW B (2017)

Article Mathematics, Applied

ANDERSON ACCELERATION FOR FIXED-POINT ITERATIONS

Homer F. Walker et al.

SIAM JOURNAL ON NUMERICAL ANALYSIS (2011)

Article Materials Science, Multidisciplinary

Static versus dynamical mean-field theory of Mott antiferromagnets

G. Sangiovanni et al.

PHYSICAL REVIEW B (2006)

Review Physics, Multidisciplinary

BCS-BEC crossover: From high temperature superconductors to ultracold superfluids

QJ Chen et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2005)

Article Physics, Multidisciplinary

Pseudogap and spin fluctuations in the normal state of the electron-doped cuprates -: art. no. 147004

B Kyung et al.

PHYSICAL REVIEW LETTERS (2004)

Article Materials Science, Multidisciplinary

Fermi surface evolution and collapse of the Mott pseudogap in Nd2-xCexCuO4±δ -: art. no. 140513

C Kusko et al.

PHYSICAL REVIEW B (2002)

Article Physics, Multidisciplinary

Cellular dynamical mean field approach to strongly correlated systems -: art. no. 186401

G Kotliar et al.

PHYSICAL REVIEW LETTERS (2001)

Article Physics, Multidisciplinary

Absence of a Slater transition in the two-dimensional Hubbard model

S Moukouri et al.

PHYSICAL REVIEW LETTERS (2001)

Article Materials Science, Multidisciplinary

Pairing fluctuations and pseudogaps in the attractive Hubbard model

B Kyung et al.

PHYSICAL REVIEW B (2001)

Article Materials Science, Multidisciplinary

Local moment and specific heat in the Hubbard model

T Paiva et al.

JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS (2001)

Article Materials Science, Multidisciplinary

Antiferromagnetism and d-wave superconductivity in cuprates:: A cluster dynamical mean-field theory

AI Lichtenstein et al.

PHYSICAL REVIEW B (2000)

Article Materials Science, Multidisciplinary

Many-body theory versus simulations for the pseudogap in the Hubbard model

S Moukouri et al.

PHYSICAL REVIEW B (2000)