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We present a comprehensive study of the 2D one-band Hubbard model applying the spin rotation invariant slave-boson method. We utilize a spiral magnetic mean field and fluctuations around a paramagnetic mean field to determine the magnetic…

Strongly Correlated Electrons · Physics 2020-07-01 David Riegler , Michael Klett , Titus Neupert , Ronny Thomale , Peter Wölfle

We study the emergence of superconductivity in the one-band Hubbard model using the spin-rotation-invariant Kotliar-Ruckenstein slave-boson (SB) approach. Motivated by its intrinsically renormalized mean-field ground state, we construct an…

The extended Falicov-Kimball model, with both an on-site hybridization potential and dispersive narrow band, is examined within the saddle-point approximation to the Kotliar-Ruckenstein slave boson theory. We first set the hybridization…

Strongly Correlated Electrons · Physics 2009-01-26 P. M. R. Brydon

In the framework of constrained systems, we give the classical Hamiltonian formulation of slave-particle models and their correct quantization. The electron-momentum distribution function in the t-J and Hubbard models is then studied in the…

Condensed Matter · Physics 2009-10-28 J. C. Le Guillou , E. Ragoucy

The Hubbard model constitutes one of the most celebrated theoretical frameworks of condensed-matter physics. It describes strongly correlated phases of interacting quantum particles confined in lattice potentials. For bosons, the Hubbard…

Strongly Correlated Electrons · Physics 2022-10-12 C. Lagoin , U. Bhattacharya , T. Grass , R. Chhajlany , T. Salamon , K. Baldwin , L. Pfeiffer , M. Lewenstein , M. Holzmann , F. Dubin

The extended Hubbard Hamiltonian is a widely accepted model for uncovering the effects of strong correlations on the phase diagram of low-dimensional systems, and a variety of theoretical techniques have been applied to it. In this paper…

Strongly Correlated Electrons · Physics 2007-09-07 H. A. Craig , C. N. Varney , W. E. Pickett , R. T. Scalettar

Relativistic correction to the Coulomb interaction is considered for strongly correlated electron orbitals. The atomic representation of the Coulomb-Breit interaction and its physical origin are clarified, to generalize a concept of the…

Strongly Correlated Electrons · Physics 2023-11-10 Shintaro Hoshino

In the strong electron-electron (e-e) interaction limit each atomic site is constrained to be either empty or singly occupied. One can treat this scenario by fractionalizing the electrons into spin and charge degrees of freedom. We use the…

Strongly Correlated Electrons · Physics 2025-05-13 Kaushal Kumar Kesharpu , Evgenii A. Kochetov , Alvaro Ferraz

Using a rotationally invariant version of the slave-boson approach in spin space we analyze the stability of stripe phases with large unit cells in the two-dimensional Hubbard model. This approach allows one to treat strong electron…

Strongly Correlated Electrons · Physics 2007-05-23 Marcin Raczkowski , Raymond Fresard , Andrzej M. Oles

The two-dimensional d-p model (or extended Hubbard model) on a square lattice is investigated for fermion pairing by a slave boson method. The inter-site d-fermion interaction is introduced additionally. The momentum space counterpart of…

Superconductivity · Physics 2008-03-06 Partha Goswami

A strong-coupling expansion for the antiferromagnetic phase of the Hubbard model is derived in the framework of the slave-boson mean-field approximation. The expansion can be obtained in terms of moments of the density of states of freely…

Condensed Matter · Physics 2009-10-28 P. J. H. Denteneer

The slave-boson mean-field method is used to study the two-dimensional Hubbard model. A magnetic phase diagram allowing for paramagnetism, weak- and strong ferromagnetism and antiferromagnetism, including all continuous and first-order…

Condensed Matter · Physics 2009-10-22 P. J. H. Denteneer , M. Blaauboer

A slave-boson functional-integral method has been developed for the Hubbard model with arbitrary, orbital degeneracy $D$. Its saddle-point mean-field theory is equivalent to the Gutzwiller approximation, as in the case of single-band…

Strongly Correlated Electrons · Physics 2009-10-28 Hideo Hasegawa

We demonstrate that the local nonfreeness, an unbiased measure of correlation between electrons at a single lattice site, can be computed as the mutual information between local natural spin orbitals. This leads us to prove a general…

Strongly Correlated Electrons · Physics 2026-04-29 Gabriele Bellomia , Adriano Amaricci , Massimo Capone

We start from the Barnes-Coleman slave-particle description, where the Hubbard operators $X$ are decomposed into a product of fermionic ($f_{\alpha}$) and bosonic ($b$) operators. The quantum mechanical constraint $b^{\dagger} b +…

Condensed Matter · Physics 2009-10-28 Christian Helm , Joachim Keller

We develop a general theory of a boson decomposition for both local and non-local interactions in lattice fermion models which allows us to describe fermionic degrees of freedom and collective charge and spin excitations on equal footing.…

Strongly Correlated Electrons · Physics 2015-05-28 A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein

The standard mean field slave-boson solution for the infinite-$U$ Hubbard model is revised. A slightly modified version is proposed which includes properly the incoherent contribution of the localized states. In contrast to the standard…

Strongly Correlated Electrons · Physics 2009-11-07 Emmanuele Cappelluti

Elucidating the impact of strong electronic interactions on the collective excitations of metallic systems has been of longstanding interest, mainly due to the inadequacy of the random phase approximation (RPA) in the strongly correlated…

Strongly Correlated Electrons · Physics 2024-09-25 Loïc Philoxene , Vu Hung Dao , Raymond Frésard

The cluster slave-spin method is introduced to systematically investigate the solutions of the Hubbard model including the symmetry-broken phases. In this method, the electron operator is factorized into a fermioninc spinon describing the…

Strongly Correlated Electrons · Physics 2017-09-12 Wei-Cheng Lee , Ting-Kuo Lee

Strong electron correlations and interference effects are discussed in parallel-coupled single-level and orbitally doubly degenerate quantum dots. The finite-U mean-field slave boson approach is used to study many-body effects. The analysis…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 D. Krychowski , S. Lipinski