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A new method for estimating the parameter ensuring the fulfillment of the Mermin-Wagner theorem in the strong coupling diagram technique (SCDT) for the two-dimensional Hubbard model is suggested. With the precise parameter value, calculated…

Strongly Correlated Electrons · Physics 2021-09-17 Alexei Sherman

The density of states of the two-dimensional fermionic Hubbard model in the perpendicular homogeneous magnetic field is calculated using the strong coupling diagram technique. The density of states at the Fermi level as a function of the…

Strongly Correlated Electrons · Physics 2019-05-29 A. Sherman

Fourth-order strong-coupling degenerate perturbation theory is used to derive an effective low-energy Hamiltonian for the Kondo-lattice model with a depleted system of localized spins. In the strong-J limit, completely local Kondo singlets…

Strongly Correlated Electrons · Physics 2015-02-26 Irakli Titvinidze , Andrej Schwabe , Michael Potthoff

We explore correlator product states for the approximation of correlated wavefunctions in arbitrary dimensions. We show that they encompass many interesting states including Laughlin's quantum Hall wavefunction, Huse and Elser's frustrated…

Strongly Correlated Electrons · Physics 2013-03-12 Hitesh J. Changlani , Jesse M. Kinder , Cyrus J. Umrigar , Garnet Kin-Lic Chan

A numerical algorithm for studying strongly correlated electron systems is proposed. The groundstate wavefunction is projected out after numerical renormalization procedure in the path integral formalism. The wavefunction is expressed from…

Strongly Correlated Electrons · Physics 2007-05-23 Masatoshi Imada , Tsuyoshi Kashima

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

We investigate the Hall effect in two different theoretical models of strongly correlated systems: a system made of weakly coupled Luttinger liquids, in the presence of umklapp scattering, and the 2D triangular lattice, with…

Strongly Correlated Electrons · Physics 2008-12-11 Gladys León

Accurate simulations of the Hubbard model are crucial to understanding strongly correlated phenomena, where small energy differences between competing orders demand high numerical precision. In this work, Neural Quantum States are used to…

Strongly Correlated Electrons · Physics 2025-10-14 Louis Sharma , Ahmedeo Shokry , Rajah Nutakki , Olivier Simard , Michel Ferrero , Filippo Vicentini

The Fermi-Hubbard model is the starting point for the simulation of many strongly correlated materials, including high-temperature superconductors, whose modelling is a key motivation for the construction of quantum simulation and computing…

The Hubbard model is a "highly oversimplified model" for electrons in a solid which interact with each other through extremely short ranged repulsive (Coulomb) interaction. The Hamiltonian of the Hubbard model consists of two pieces; H_hop…

Strongly Correlated Electrons · Physics 2008-02-03 Hal Tasaki

The half filled Hubbard model is studied in the pair approximation of the Cluster Variation Method. The use of the $SO(4)$ symmetry of the model makes possible to give a complete analytical characterization of the ground state, by means of…

Condensed Matter · Physics 2009-10-22 Alessandro Pelizzola

Near a Mott transition, strong electron correlations may enhance Cooper pairing. This is demonstrated in the Dynamical Mean Field Theory solution of a twofold-orbital degenerate Hubbard model with inverted Hund's rules on-site exchange,…

Strongly Correlated Electrons · Physics 2007-08-07 M. Capone , M. Fabrizio , C. Castellani , E. Tosatti

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

In the first part of our theoretical study of correlated atomic wires on substrates, we introduced lattice models for a one-dimensional quantum wire on a three-dimensional substrate and their approximation by quasi-one-dimensional effective…

Strongly Correlated Electrons · Physics 2017-08-09 Anas Abdelwahab , Eric Jeckelmann , Martin Hohenadler

We derive an effective electronic Hamiltonian for square lattice Hubbard-Holstein model (HHM) in the strong electron-electron (e-e) and electron-phonon (e-ph) coupling regime and under non-adiabatic conditions ($t/\omega_0 \leq 1$), $t$ and…

Strongly Correlated Electrons · Physics 2018-06-13 Sahinur Reja , Satoshi Nishimoto

We formulate the Hubbard model for the simple cubic lattice in the representation of interacting dimers applying the exact solution of the dimer problem. By eliminating from the considerations unoccupied dimer energy levels in the large U…

Strongly Correlated Electrons · Physics 2009-11-07 M. Matlak , J. Aksamit , B. Grabiec , W. Nolting

A novel effective Hamiltonian in the subspace of singly occupied states is obtained by applying the Gutzwiller projection approach to a generalized Hubbard model with the interactions between two nearest- neighbor sites. This model provides…

Strongly Correlated Electrons · Physics 2017-03-27 Tao Sun

At strong on-site repulsion $ U $, the fermionic Hubbard model realizes an extremely correlated electron system. In this regime, it is natural to derive the low-energy physics with the help of non-canonical operators acting on a projected…

Strongly Correlated Electrons · Physics 2026-04-27 Jonas Arnold , Peter Kopietz , Andreas Rückriegel

The Fermi-Hubbard model is a key concept in condensed matter physics and provides crucial insights into electronic and magnetic properties of materials. Yet, the intricate nature of Fermi systems poses a barrier to answer important…

Quantum Gases · Physics 2015-05-19 Tilman Esslinger

Many-body systems with strong interactions often exhibit macroscopic behavior markedly absent in single-particle or noninteracting limits. Such emergent phenomena are well exemplified in lattice Hubbard models, where the interplay between…