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Perturbative schemes utilizing a spectral moment expansion are well known and extensively used for investigating the physics of model Hamiltonians and real material systems. The advantages they offer, in terms of being computationally…

Strongly Correlated Electrons · Physics 2016-11-09 Nagamalleswararao Dasari , Wasim Raja Mondal , Peng Zhang , Juana Moreno , Mark Jarrell , N. S. Vidhyadhiraja

Based on the standard many-fermion field theory, the authors construct models describing ultracold fermions in a 1D optical lattices by implementing a mode expansion of the fermionic field operator where modes, in addition to space…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Francesco Massel , Vittorio Penna

Two-dimensional orbital compass model is studied as an interacting itinerant electron model. A Hubbard-type tight-binding model, from which the orbital compass model is derived in the strong coupling limit, is identified. This model is…

Strongly Correlated Electrons · Physics 2015-05-30 J. Nasu , S. Ishihara

We propose a hybrid quantum-classical method to investigate the equilibrium physics and the dynamics of strongly correlated fermionic models with spin-based quantum processors. Our proposal avoids the usual pitfalls of fermion-to-spin…

Quantum Physics · Physics 2024-06-21 Antoine Michel , Loïc Henriet , Christophe Domain , Antoine Browaeys , Thomas Ayral

From configuration interaction (CI) ab initio calculations, we derive an effective two-orbital extended Hubbard model based on the gerade (g) and ungerade (u) molecular orbitals (MOs) of the charge-transfer molecular conductor (TTM-TTP)I_3…

Materials Science · Physics 2012-01-31 Masahisa Tsuchiizu , Yukiko Omori , Yoshikazu Suzumura , Marie-Laure Bonnet , Vincent Robert

We extend an approximation earlier developed by us for the single-impurity Anderson model to a full-size impurity solver for models of interacting electrons with multiple orbitals. The approximation is based on parquet equations simplified…

Strongly Correlated Electrons · Physics 2011-05-20 Pavel Augustinsky , Vaclav Janis

The three-band Emery model is reduced to a single-particle quantum model of Falicov-Kimball type, by allowing only up-spins to hop, and forbidding double occupation by projection. It is used to study the effects of geometric obstruction on…

Strongly Correlated Electrons · Physics 2007-05-23 D. K. Sunko

We perform extensive auxiliary-field quantum Monte Carlo (AFQMC) calculations for the three-band Hubbard (Emery) model in order to study the ground-state properties of Copper-Oxygen planes in the cuprates. Employing cutting-edge AFQMC…

Superconductivity · Physics 2021-01-04 Adam Chiciak , Ettore Vitali , Shiwei Zhang

The five-band Hubbard model for a $d$ band with one electron per site is a model which has very interesting properties when the relevant ions are located at sites with high (e. g. cubic) symmetry. In that case, if the crystal field…

Strongly Correlated Electrons · Physics 2009-11-10 A. B. Harris , T. Yildirim , A. Aharony , O. Entin-Wohlman , I. Ya. Korenblit

In order to have a better understanding of ultrafast electrical control of exchange interactions in multi-orbital systems, we study a two-orbital Hubbard model at half filling under the action of a time-periodic electric field. Using…

Strongly Correlated Electrons · Physics 2019-03-06 M. M. S. Barbeau , M. Eckstein , M. I. Katsnelson , J. H. Mentink

Two-particle (2-p) excitations such as spin and charge excitations play a key role in high-Tc cuprate superconductors (HTSC). On the basis of a parameter-free theory, which extends the Variational Cluster Approach (a recently developed…

Strongly Correlated Electrons · Physics 2010-02-11 S. Brehm , E. Arrigoni , M. Aichhorn , W. Hanke

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

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

By revisiting the path-integral formulation of the Hubbard model, we propose a theoretical approach based on a semiclassical approximation employing an unconventional coherent-state representation. Within this framework, a subset of the…

Strongly Correlated Electrons · Physics 2026-04-06 Yuki Yamasaki , Hidemaro Suwa , Cristian D. Batista , Shintaro Hoshino

We present a formalism for strongly correlated electrons systems which consists in a local approximation of the dynamical three-leg interaction vertex. This vertex is self-consistently computed with a quantum impurity model with dynamical…

Strongly Correlated Electrons · Physics 2016-04-01 Thomas Ayral , Olivier Parcollet

We present a systematic stability analysis for the two-dimensional Hubbard model, which is based on a new renormalization group method for interacting Fermi systems. The flow of effective interactions and susceptibilities confirms the…

Strongly Correlated Electrons · Physics 2009-10-31 Christoph J. Halboth , Walter Metzner

We investigate a periodic Anderson model with interacting conduction electrons which are described by a Hubbard-type interaction of strength U_c. Within dynamical mean-field theory the total Hamiltonian is mapped onto an impurity model,…

Strongly Correlated Electrons · Physics 2009-10-30 T. Schork , S. Blawid

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

The three-band Emery model is applied to study the selected principal features of the $d$-$wave$ superconducting phase in the copper-based compounds. The electron-electron correlations are taken into account by the use of the diagrammatic…

Superconductivity · Physics 2021-09-01 M Zegrodnik , A Biborski , M. Fidrysiak , J Spałek

Unitary Coupled Cluster (UCC) theory is a promising variational method for electronic structure calculations, especially for strongly correlated systems and quantum computers. However, its practical application is limited by the steep…

Chemical Physics · Physics 2026-02-05 Prateek Vaish , Brenda Rubenstein